Pierre Descouvemont Université Libre de Bruxelles, Brussels, Belgium
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Pierre Descouvemont Université Libre de Bruxelles, Brussels, Belgium The 12 C() 16 O reaction: dreams and nightmares theoretical introduction
description
Pierre Descouvemont Université Libre de Bruxelles, Brussels, Belgium. The 12 C( a,g ) 16 O reaction:. theoretical introduction. dreams and nightmares. Stellar models. Cross sections. Masses. b- lifetimes. Fission barriers. Etc…. Content of the talk. - PowerPoint PPT Presentation
Transcript of Pierre Descouvemont Université Libre de Bruxelles, Brussels, Belgium
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Pierre DescouvemontUniversit Libre de Bruxelles, Brussels, BelgiumThe 12C(a,g)16O reaction:dreams and nightmarestheoretical introduction
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Stellar models
MassesCross sectionsb-lifetimesFission barriersEtc
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Content of the talk
Cross sections, S-factors: general propertiesReaction rates, stellar energiesH and He burningSpecificities of the 12C(a,g)16O reactionTheoretical models
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Types of cross sectionsTransfer cross sections Examples:3He(3He,a)2p 6Li(p,a)3HeStrong interaction 22Ne(a,n)25Mg
Capture cross sections Examples:3He(a,g)7Be 7Be(p,g)8BElectromagnetic interaction 12C(a,g)16O
Weak capture cross sections Examples:p(p,e+n)2HWeak interaction 3He(p,e+n)4He Others: fusion, spallation, etc..
Cross sections
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Cross section S factorpotentialAstrophysical energiesRelative distance Cross section below the Coulomb barrier: s(E) exp(-2ph) h=Sommerfeld parameter (h=Z1Z2e2/ v) Astrophysical S factor: S(E)=s(E)*E*exp(2ph) smooth variation with energy Low angular momenta (centrifugal barrier)
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Chart4
0.0136
0.0189
0.0169
0.0183
0.0178
0.0197
0.0187
0.0207
0.0239
0.0184
0.0266
0.0306
0.0296
0.0422
0.0429
0.0477
0.0572
0.0672
0.0496
0.0356
0.0206
0.00533
0.00365
0.00271
0.0293
0.0239
0.0249
0.0174
0.0236
0.0163
0.0218
0.0232
0.0273
0.0335
0.0468
0.048
0.0557
0.0669
0.0706
0.0729
0.0695
0.0671
0.0568
0.0458
0.0359
0.0241
0.0257
0.00502
0.00396
0.00348
0.015
0.0086
0.012
0.014
0.032
0.058
0.065
0.061
0.036
0.018
0.0028
0.0016
0.0171
0.0173
0.0195
0.0305
0.0513
0.0656
0.0219
0.00367
0.00136
Ecm (MeV)
S-factor (MeV-b)
3he(a,g)
E_cmCrosssectionErrorS-factorErrorRef.
(keV)(b)(b)(keV-b)(keV-b)
-------------------------------------------------------------
2064.60E-085.60E-080.881.08[HO59]
3091.90E-071.20E-070.690.45sigmascanned
4034.00E-071.80E-070.580.26fromfig.4
4857.60E-072.70E-070.630.23(erroronE
5671.30E-064.30E-070.740.24included)
1781.61E-081.10E-080.630.43[PA63]
2788.88E-082.81E-080.460.16Sfactor
2909.82E-082.98E-080.440.13scanned
3681.97E-074.25E-080.380.08fromfig.8
3842.43E-075.10E-080.410.09
4002.61E-074.77E-080.380.07
4173.18E-075.79E-080.410.07
4783.90E-076.11E-080.340.05
5065.12E-078.46E-080.380.06
5225.77E-078.24E-080.40.06
5445.88E-078.09E-080.360.05
5896.86E-079.80E-080.350.05
6007.58E-071.02E-070.370.05
6227.95E-079.66E-080.360.04
6898.42E-071.16E-070.30.04
7061.01E-061.27E-070.340.04
7229.65E-071.23E-070.310.04
7449.94E-071.20E-070.30.04
7569.67E-071.12E-070.290.03
7891.13E-061.22E-070.310.03
8001.19E-061.38E-070.320.04
8111.03E-061.29E-070.270.03
8331.14E-061.63E-070.280.04
8671.30E-061.60E-070.30.04
9001.42E-061.71E-070.30.04
9111.32E-061.43E-070.280.03
9221.25E-061.46E-070.260.03
9501.26E-061.71E-070.250.03
10331.66E-062.15E-070.280.04
10391.71E-062.17E-070.290.04
10891.50E-061.90E-070.240.03
11391.94E-062.26E-070.290.03
11501.76E-062.06E-070.260.03
12111.65E-061.72E-070.220.02
12221.89E-062.49E-070.250.03
12281.68E-061.76E-070.220.02
12442.04E-062.55E-070.270.03
13221.79E-061.93E-070.220.02
13392.36E-065.61E-070.280.07
13442.17E-061.97E-070.260.02
15503.03E-062.99E-070.30.03
16172.78E-062.78E-070.270.03
16392.79E-063.17E-070.260.03
20893.74E-063.96E-070.280.03
21003.36E-063.53E-070.250.03
21223.78E-064.01E-070.280.03
21393.81E-064.03E-070.280.03
24833.93E-065.48E-070.260.04
1647.77E-099.92E-100.470.06[NA69]
1771.44E-081.98E-090.580.08Sfactor
2012.47E-083.26E-090.530.07scannedfrom
2062.72E-084.19E-090.520.08fig.3
2253.85E-084.71E-090.490.06
2294.16E-085.95E-090.490.07
2445.93E-087.83E-090.530.07
107.24.25E-107.21E-110.350.059[KR82]
119.66.71E-101.12E-100.2650.044Sfactor
136.31.81E-092.31E-100.3150.04copiedfrom
143.72.43E-092.53E-100.3090.032table4
1664.85E-098.49E-100.2750.048
185.68.95E-091.48E-090.2840.047
195.21.17E-088.94E-100.2890.022
208.51.49E-083.11E-090.2690.056
229.52.27E-082.49E-090.2650.029
2513.55E-084.29E-090.2820.034
262.33.90E-086.38E-090.2580.042
272.54.63E-084.98E-090.2630.028
292.36.85E-088.84E-090.2960.038
303.87.76E-081.66E-080.290.062
3167.32E-087.77E-090.2370.025
334.91.02E-071.22E-080.2680.032
358.41.04E-071.39E-080.2170.029
3791.44E-071.44E-080.2510.025
404.31.58E-071.98E-080.2250.028
421.21.97E-071.92E-080.2470.024
443.32.14E-072.32E-080.2310.025
465.72.46E-072.46E-080.230.023
506.73.05E-072.86E-080.2270.021
553.53.69E-075.42E-080.2190.032
568.83.93E-074.53E-080.2180.025
594.84.62E-075.65E-080.230.028
636.24.99E-075.65E-080.2130.024
680.25.76E-076.00E-080.2120.022
696.46.14E-077.16E-080.2150.025
721.76.52E-077.71E-080.2120.025
761.97.31E-077.91E-080.2130.023
805.57.87E-079.19E-080.2060.024
849.78.01E-078.45E-080.190.02
934.19.66E-071.15E-070.1940.023
10561.14E-061.46E-070.1880.024
1102.81.25E-061.49E-070.1930.023
1142.61.32E-061.57E-070.1940.023
12221.36E-061.64E-070.1820.022
1265.91.36E-061.57E-070.1740.02
8971.81E-061.00E-070.390.02[RO83]
166.69.65E-096.84E-100.5360.038[OS82]
346.61.75E-078.54E-090.410.02Sfactor
212.72.82E-081.40E-090.4630.023copiedfrom
343.61.82E-078.31E-090.4380.02table1
279.59.33E-083.90E-090.4790.02
450.94.32E-071.37E-080.4430.014
192.41.62E-082.26E-090.4310.06
193.51.62E-087.73E-100.4190.02
342.91.61E-074.54E-090.390.011
343.71.91E-075.81E-090.460.014
496.14.98E-071.52E-080.3920.012
342.61.71E-078.20E-090.4170.02
165.57.55E-097.98E-100.4350.046
165.87.47E-094.03E-100.4260.023
336.71.56E-074.63E-090.4040.012
486.14.22E-071.20E-080.3510.01
4373.19E-078.89E-090.3590.01
507.45.54E-071.48E-080.4110.011
11692.14E-069.82E-080.3050.014
9471.85E-061.23E-070.3640.024
12552.35E-061.24E-070.3040.016
5255.03E-074.27E-080.3410.029[AL84]
195.41.83E-081.63E-090.450.04[HI88]
437.73.84E-074.47E-080.430.05Sfactor
547.16.22E-076.55E-080.380.04scannedfrom
662.89.24E-071.03E-070.360.04fig.7
664.59.04E-077.75E-080.350.03
685.81.04E-069.00E-080.380.03
664.48.90E-077.01E-080.350.03
664.88.90E-077.01E-080.340.03
666.49.90E-079.00E-080.380.04
3he(a,g)
0
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3He(a,g)7Be
cross section (b)
12c(a,g)
0
0
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Ecm (keV)
S-factor (MeV-b)
E1 DATA:
EcmsigmaerrorS-factorerror REF
(MeV)(b)(b)(MeV b)(MeV b)
---------------------------------------------------------------------
1.412.90E-101.00E-101.36E-024.70E-03 DY74
1.56.40E-101.40E-101.89E-024.13E-03 sigma from
1.641.09E-091.70E-101.69E-022.63E-03 table 2
1.731.71E-096.00E-101.83E-026.43E-03
1.792.09E-094.00E-101.78E-023.40E-03
1.812.49E-092.50E-101.97E-021.97E-03
1.872.93E-093.10E-101.87E-021.98E-03
1.873.25E-095.00E-102.07E-023.19E-03
1.954.92E-094.00E-102.39E-021.94E-03
1.963.90E-096.00E-101.84E-022.82E-03
2.037.04E-096.00E-102.66E-022.26E-03
2.048.34E-096.50E-103.06E-022.39E-03
2.089.10E-096.00E-102.96E-021.95E-03
2.111.42E-087.00E-104.22E-022.08E-03
2.151.61E-081.30E-094.29E-023.45E-03
2.181.95E-088.10E-104.77E-021.98E-03
2.262.89E-081.01E-095.72E-022.00E-03
2.323.95E-081.31E-096.72E-022.23E-03
2.423.71E-081.61E-094.96E-022.16E-03
2.493.12E-081.22E-093.56E-021.40E-03
2.562.10E-081.33E-092.06E-021.30E-03
2.788.41E-097.30E-105.33E-034.63E-04
2.866.66E-097.00E-103.65E-033.83E-04
2.945.69E-097.50E-102.71E-033.58E-04
0.941.90E-111.50E-112.93E-022.32E-02 RE87
1.16.60E-111.84E-112.39E-026.66E-03 S from table 1
1.32.80E-106.84E-112.49E-026.09E-03
1.43.50E-107.93E-111.74E-023.94E-03
1.58.00E-101.66E-102.36E-024.91E-03
1.629.63E-101.75E-101.63E-022.97E-03
1.71.80E-092.63E-102.18E-023.18E-03
1.82.83E-092.97E-102.32E-022.44E-03
1.914.91E-096.31E-102.73E-023.51E-03
2.081.03E-081.19E-093.35E-023.86E-03
2.131.66E-081.79E-094.68E-025.05E-03
2.222.18E-082.24E-094.80E-024.93E-03
2.232.60E-082.16E-095.57E-024.63E-03
2.263.38E-083.16E-096.69E-026.26E-03
2.283.75E-083.09E-097.06E-025.83E-03
2.334.39E-083.91E-097.29E-026.49E-03
2.354.43E-083.27E-096.95E-025.14E-03
2.364.35E-083.22E-096.71E-024.96E-03
2.424.24E-083.29E-095.68E-024.41E-03
2.433.50E-083.52E-094.58E-024.61E-03
2.493.14E-082.69E-093.59E-023.08E-03
2.542.35E-082.03E-092.41E-022.08E-03
2.572.67E-082.16E-092.57E-022.08E-03
2.787.92E-091.38E-095.02E-038.74E-04
2.86.48E-097.90E-103.96E-034.83E-04
2.846.13E-098.58E-103.48E-034.87E-04
1.291.60E-103.00E-111.50E-022.8E-03 KR88
1.492.80E-107.00E-118.60E-032.1E-03 sig and S
1.681.00E-092.00E-101.20E-022.5E-03 scanned from
1.892.50E-095.00E-101.40E-022.9E-03 fig.3
2.091.00E-081.70E-093.20E-025.30E-03
2.192.40E-083.40E-095.80E-028.10E-03
2.283.50E-084.70E-096.50E-028.60E-03
2.384.20E-083.60E-096.10E-025.10E-03
2.493.20E-083.40E-093.60E-023.80E-03
2.582.00E-083.10E-091.80E-022.80E-03
2.784.50E-091.00E-092.80E-036.20E-04
2.93.30E-099.00E-101.60E-034.5`E-04
1.372.90E-106.00E-111.71E-023.20E-03 OU96
1.5788.50E-109.00E-111.73E-021.80E-03
1.7772.18E-091.70E-101.95E-021.50E-03
1.9796.87E-094.30E-103.05E-021.90E-03
2.1722.05E-081.20E-095.13E-022.90E-03
2.3884.52E-081.80E-096.56E-022.60E-03
2.5832.32E-089.00E-102.19E-029.00E-04
2.8356.40E-094.00E-103.67E-032.10E-04
2.9823.10E-093.00E-101.36E-031.40E-04
0
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12C(a,g)16O
cross section (b)
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Ecm (MeV)
S-factor (MeV-b)
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Reaction ratewith: N(E,T)= Maxwell-Boltzmann distribution ~ exp(-E/kT) T = temperature v = relative velocityGamow-peak energy :E0 = 0.122 m1/3 (Z1Z2T9)2/3 MeVDE0 = 0.237 m1/6 (Z1Z2)1/3 T95/6 MeV
Chart1
0.00000000210.36787944120.0000000001
0.00000966490.04978706840.0000000833
0.00013048240.0067379470.0000001966
0.00084932570.00033546260.0000000806
0.00179176280.00004539990.0000000257
0.0114228910.00000000210
0.025952593900
0.042329219600
0.059105746600
s
s.v.exp(-E/kT)
exp(-E/kT)
Ecm
Logarithmic scale
Sheet1
0.010.00000000210.36787944120.0000000001
0.030.00000966490.04978706840.0000000833
0.050.00013048240.0067379470.0000001966
0.080.00084932570.00033546260.0000000806
0.10.00179176280.00004539990.0000000257
0.20.0114228910.00000000210
0.30.025952593900
0.40.042329219600
0.50.059105746600
0.60.075623447100
0.70.091587798700
0.80.106877925700
0.90.121458200200
10.135335283200
1.10.148536408100
1.20.161098087800
1.30.173060153200
1.40.184462606800
Chart1
0.00000002060.36787944120.0001516512
0.00009664940.04978706840.166688814
0.00130482440.0067379470.3931829286
0.0084932570.00033546260.1611734128
0.01791762830.00004539990.0514476688
0.11422890990.00000000210.0000210587
0.25952593900.0000000027
0.423292196200
0.591057465600
s
s.v.exp(-E/kT)
E0
DE0
Ecm
Linear scale
Sheet1
0.010.00000002060.36787944120.0001516512
0.030.00009664940.04978706840.166688814
0.050.00130482440.0067379470.3931829286
0.080.0084932570.00033546260.1611734128
0.10.01791762830.00004539990.0514476688
0.20.11422890990.00000000210.0000210587
0.30.25952593900.0000000027
0.40.423292196200
0.50.591057465600
0.60.756234470700
0.70.915877986500
0.81.068779256600
0.91.214582001900
11.353352832400
1.11.485364080900
1.21.610980878300
1.31.730601531900
1.41.844626067600
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Examples: E0= Gamow peak energy Ecoul = Coulomb barrier
Essentially 2 problems in nuclear astrophysics:Very low cross sections (in general not accessible in laboratories)Need for radioactive beams
ReactionT (109 K)E0 (MeV)Ecoul (MeV)s(E0)/s(Ecoul)d + p0.0150.0060.310-43He + 3He0.0150.0211.210-13a + 12C0.20.3310-1112C + 12C12.4710-10
- Cross sections: theoryStarting point: Schrodinger equation: HYJMp = EYJMpc=channelScattering states: E>0: Ic,Oc=Coulomb functionsF1c, F2c=internal wave functions of the colliding nucleiUJp=collision matrix (contains all information)Bound states : E
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Capture: (electromagnetic interaction): H=HN + Hg, with Hg=electromagnetic interaction
Hg is expanded in multipoles: electric (MEl) and magnetic (MMl) with
one needs the matrix elements of the multipole operators (in general E1)Cross sections:Transfer (nuclear interaction) small J values at low energies
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H and He burningpp chain (from G. Fiorentini)
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CNO cycle The pp chain and the CNO cycle transform protons into 4He
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4He burning12C produced by the triple a process: 3a 8Be+a 12C 8Be(a,g)12C12C production enhanced by the 0+2 resonance0+2 resonance predicted from observation of 12C abundance (Hoyle)16O produced by the 12C(a,g)16O reaction In the CNO cycle 15N(p,g)16O 15N(p,a)12C 12C(a,g)16O determines the 12C/16O ratio after He burning
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Specificities of 12C(a,g)16O16O spectrum E1 (almost) forbidden Two subthreshold states: 1-, 2+ Interference effects
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E1 almost forbidden:
In practice: E1 not negligible (dominant?) owing to isospin impurities (small T=1 components) cross section :
higher-order terms in the E1 operatorE1 is enhanced by multipolarity 1 reduced by cancellation of first-order termsMixing of E1 and E2Angular distributions: W(q)=WE1(q) + WE2(q) +cos(d1-d2)(WE1(q)WE2(q))1/2=0 if isospin T=0
-
Two subthreshold states:affect the S-factor at low energiesweak effect in measurementsEcmE0
-
Interference effects: E1Ecm
-
Interference effects: E2Ecm
Chart1
4.5827.1511.720.794.574.5710.8610.864.14.116.8516.85345.2100985944595.0297845765595.8015729184568.0730564565357.8969124632
8.198.857.328.322.932.933.483.482212.3212.32218.7458393362400.5521320608401.2509097419378.4038316253228.6886122449
8.246.583.820.461.371.372.572.571.41.47.557.55147.5757529261288.0862979422288.7293293496269.1565528566155.7296701204
2.223.5317.190.190.191.831.830.90.93.623.62103.8192875301216.9102445214217.5100603759200.301149499110.7083335594
5.722.37.982.152.152.22.23.643.6475.1694462059168.8293446451169.3950583291153.98758255781.1093592434
1.22.64.380.60.61.71.72.522.5255.516141969134.7020704885135.2404397677121.265093965360.7105261537
6.362.83.191.591.590.60.61.751.7541.5493641875109.5174016592110.033548970997.236974530146.1363877291
3.191.182.131.591.590.210.211.971.9731.350840382490.337749124490.83564125179.038427650235.428070408
2.321.720.831.061.060.170.170.820.8223.747391657675.347655576675.830433674964.90248283427.3859815219
1.620.990.650.650.980.9817.989165841463.377221492763.847444450153.69246171921.242443405
3.061.93.053.051.891.8913.578753123153.647007010354.106849096844.651901062216.4876643459
11.71.55.325.321.491.4910.175443112245.623421223146.074850004537.262927135112.7721210274
6.073.332.762.763.213.217.539164936938.932465088739.377416244631.16195316289.8493198701
3.890.881.31.30.870.875.496451928533.305964432433.746525920126.08735107717.5409879253
2.121.331.411.411.291.293.919147390528.546876321828.985495673921.84592744275.7152570941
2.122.571.411.410.840.842.710730817924.506406755924.946143842818.29104007884.2726380424
1.173.190.590.590.870.871.7973191721.068802362321.51366966415.30824702333.1367921277
7.783.363.893.890.60.61.121587118318.141295225518.596768402512.80598424652.248320992
7.262.942.292.290.430.430.638523681515.647545229616.121414297810.70967060221.5604860665
1.592.891.061.060.630.630.312324354813.523426323414.02736439078.95823942531.0361811556
6.363.071.71.70.850.850.113899952311.714334010912.26711313777.50268016330.6457320469
0.22.530.150.150.490.490.018431167310.173436136110.80845311856.30723673830.3652530098
0.360.980.350.350.970.970.00170999268.86047870159.64704891695.35759492670.1753879652
1.011.880.360.361.871.870.03020236997.74090237538.86680751434.70235867790.0603259465
0.730.720.720.01782501036.78512809299.19456208164.84762307140.0070196771
0.98651117216.279633430417.533606301711.16803245510.0000676229
2.34771971436.239604638522.438131093715.13200401620.0002472684
6.84453600486.199885788634.155202951124.95674349850.0005382912
34.32747610016.160474288184.27768968369.37021799590.0009395694
55.73987656596.1526286433117.664414240999.89311734740.0010329575
102.34863614066.1447951691185.4382095068162.88507543950.0011307025
234.05535793046.1369738451365.0130055526332.87879911360.0012327953
879.81641388396.12916465081209.45468076011148.84894099980.0013392272
11439.36415605756.12136756611443.226274862311442.97395155560.0014499894
1136.64910130226.1135825702843.7403057429894.88612492730.001565073
303.46854175016.1058096432193.8669084532218.40734239380.0016844692
140.07660530566.098048764773.151194712388.46001902510.0018081693
81.71931507946.090299914633.928433708444.57742205390.0019361644
54.24747457936.082563072517.451812675825.29335103810.0020684458
16.25416393566.04405827890.7533864952.96085016310.0027938416
8.58887071076.00585067770.05503854520.38379697060.0036250876
5.69129152135.96793778210.61261084940.00530433630.0045611025
1.39027982535.26791666954.10445923591.29982267240.0436837414
1.49670065294.66694506684.06998299591.20013305640.1163719288
1.80028279314.14973709063.76922874560.95314098680.2155632301
2.18878054973.70342670053.43522492160.69910084130.3349335528
2.64124834873.31720123433.11667264670.46884331350.46875544
3.15595984582.98198129232.82604073230.27309234320.6118192789
3.74169631932.69014442872.56538385620.11994018410.7594053772
4.41893322762.43528905622.33328224550.02231774950.9072928799
5.22641873762.21203437652.12717484840.00623648481.0517901714
6.23622247372.01585194951.94424455070.12715520911.1897714478
7.58864097211.84292461411.78176985210.51106711991.3187059113
9.58327968361.69002875251.63725889531.47607556241.4366694128
12.96399266351.55443633831.5084893813.97327974271.5423327303
20.0969025841.43383345991.393506926211.76460520581.6349254817
42.97348022241.32625279651.290605939850.1867351541.714178337
1,2,3
1,4
1
1,2
1
1,2,3
1,4
dyba
redder
ouellet
roters
tout
pole1
poles 1-2
poles123
poles14
Ec.m. (MeV)
E2 S-factor (keV b)
Feuil3
2.803.003.203.403.603.804.004.204.40
10.055.402.571.261.272.374.417.2410.74
a=6.5, emin=2, g1^2=0.2a=6.5, emin=3, g1^2=0.5a=5.5, emin=2, g1^2=0.1a=5.5, emin=3, g1^2=0.2
g3^2g3^2g3^2g3^2
2.8010.053.8010.611.405.191.607.63
3.005.404.006.431.601.911.803.67
3.202.574.203.461.800.492.001.28
3.401.264.401.562.000.642.200.25
3.601.274.600.602.202.112.400.36
3.802.374.800.472.404.682.601.45
4.004.415.001.072.608.152.803.38
4.207.245.202.303.006.01
4.4010.745.404.113.209.25
5.606.39
5.809.13
6.0012.25
1.601.802.002.202.402.602.803.003.20
7.633.671.280.250.361.453.386.019.25
1.401.601.802.002.202.402.60
5.191.910.490.642.114.688.15
Feuil3
0000
0000
0000
0000
0000
0000
0000
000
000
0
0
0
Feuil2
a=6.5, g1=0.2, g3=3.5
matrpole1pole 2pole 3dep theor.dep expdep HSHS+g1HS+g1+g2
1.0990.0393400313-0.41308878510.00725564580.4390182041-0.0194956361-0.8-0.0254619257-0.0546572296-0.0537421555
1.480.0977536946-0.3793144890.00821933460.4601911394-0.1525196447-0.1-0.307821268-0.5554609651-0.5445976919
1.550.1081863911-0.37370090640.00842492360.4643052427-0.19876041990.7-0.4331979173-0.760918261-0.7456781174
1.5540.1087804713-0.37338514450.00843698260.4645425572-0.2016266205-0.6-0.4413731608-0.774115549-0.7585904968
1.7040.1309233636-0.36191744490.00891552960.4736203962-0.32573727850.1-0.8399063579-1.3964994063-1.3671294608
1.8690.1550603935-0.35008998090.00950880470.4840248016-0.49330665740.9-1.5246850253-2.405017576-2.3519150646
2.0030.1745825931-0.34103876910.01005203480.4928169161-0.64216625580.6-2.30765874-3.5028149032-3.4224485786
2.1520.1963000918-0.33150854220.01073389730.5029759976-0.80477189530.4-3.4443858814-5.0308956685-4.9103806653
2.2280.2074127088-0.32684973280.01111859540.5083208298-0.88043972850.1-4.1372452584-5.9351009694-5.7896536581
2.250.2106367388-0.32552546960.01123515570.5098892838-0.9008825990.2-4.3522723413-6.212345653-6.0590765554
2.3010.2181260713-0.32249647420.01151499730.5135627401-0.9451924517-0.8-4.8757540424-6.8814090852-6.70891494
2.3020.2182731577-0.32243764550.01152062380.5136352978-0.9460144645-0.1-4.886367365-6.894892824-6.7220060969
2.3780.2294825399-0.31802860580.01196494750.5192103263-1.00250768850.3-5.7320790891-7.9599836181-7.7554284699
2.430.2371920815-0.31508072540.01228924110.5230950721-1.03358587040.3-6.3548582139-8.7336540035-8.5052543205
2.4510.2403160947-0.31390566880.0124252440.5246804401-1.0441974895-0.7-6.616412439-9.0561739825-8.8176168197
2.4570.2412098613-0.31357154640.01246465670.525135169-1.0470142991-1.9-6.6921958542-9.1493711688-8.9078544586
2.5280.2518296317-0.30967110130.01295076520.5305765966-1.07269756290.0-7.624128673-10.286881171-10.0083319971
2.5880.2608735846-0.30644981160.01339212760.5352636772-1.0827011493-0.9-8.4613340632-11.296525206-10.9836268313
2.6780.2745790894-0.30174160450.01411361620.5424516535-1.07602093210.0-9.7995879389-12.8897719489-12.5195856276
2.7380.2838229221-0.29868235770.01463940590.5473518579-1.0564131856-1.9-10.7446906444-14.0016474043-13.5890344395
2.8290.2980322655-0.29415909580.01551609670.5549551413-1.0029472511-0.7-12.2550370238-15.7588973207-15.2746352937
2.8870.3072239126-0.29134694090.01613183080.5599123964-0.9539828517-1.3-13.2638298596-16.920778663-16.3857000495
30.3254845917-0.28601968780.01748356470.5698293586-0.8264831138-0.7-15.3259639672-19.2705875371-18.6230255678
3.0380.331743771-0.2842717270.0179905040.573243669-0.7745838813-1.2-16.0465955428-20.0846412282-19.3946732783
3.1310.347352933-0.28008262180.01936465730.581774916-0.6301873324-2.4-17.8640945717-22.1234405881-21.3181662537
3.2830.373927039-0.27349545940.02212698180.5962787638-0.3491772242-0.2-20.9858909393-25.5840031011-24.5462350213
3.3380.3839375289-0.27118764330.02333124630.601706668-0.2366297242-2.1-22.1575360785-26.8711768776-25.7319958966
3.4870.4124215072-0.2651268650.02736619180.61692039180.0886965884-1.5-25.4312887347-30.439342341-28.9608141032
3.56250.4278124164-0.26215805510.02999467080.62492685250.26256771231.1-27.1405300147-32.2876486119-30.5886382845
3.6380.4440505857-0.25925499660.03318172230.63314386320.4426880156-1.2-28.8801414064-34.1597406193-32.1941092535
3.750.4702286696-0.25506499190.03939052420.64573929180.72849121611.6-31.511418629-36.9758400182-34.4931056705
3.7870.479602463-0.25371039730.04198587320.65001113240.8313885506-0.3-32.3928633064-37.915371185-35.2173778975
3.93750.5236946528-0.24834564340.05735794350.66798575621.3523820599-0.1-36.0334964917-41.7778033612-37.8153316278
4.0870.5876524572-0.24323653590.09014180580.68685295732.34185440631.7-39.7263403529-45.6693194238-39.0689964624
4.10250.5968076692-0.24271883070.09582004130.68887024672.51050143931.1-40.1129996505-46.0754141572-39.0264795825
4.1240.6109215804-0.24200436140.10499403740.69168812032.78194117193.3-40.6504154875-46.6394402919-38.8710068427
4.1620.6414721673-0.2407518120.1263798150.69672533933.40787341724.5-41.6032370656-47.6383182143-38.2185942447
4.1990.6824734353-0.23954462040.15764479670.70170099984.29798620576.7-42.5344685621-48.6132195921-36.8469439612
4.2370.7477593414-0.2383173390.21134141670.70688565855.736355543311.4-43.4942586736-49.6166812459-34.0155143674
4.25250.7874720691-0.23782034080.24544222660.70902251926.585511454410.2-43.8866958808-50.0265952732-32.1216583715
4.2740.86775052-0.23713437810.31621564930.71200803038.193296046318.6-44.431916781-50.5957403425-28.2376589318
4.2890.9562972378-0.23665813830.39585090040.71410587859.777607206823.8-44.8128885708-50.9931870051-24.1393340071
4.349-31.7012862796-0.2347721553-53.83016783980.722622367230.184218246682.3-46.3413562643127.414188829925.7982735298
4.365-0.9380822459-0.2342742925-1.43433929790.724927847852.50888424861.2-46.7501286858126.98877003851.1314190669
4.386-0.1051797131-0.2336240431-0.62977910780.72797621111.4785770562126.2-47.2873595297126.429980016476.5849055286
4.4240.2354208897-0.232456531-0.31254368590.733557962155.9224095848145.6-48.2614792647125.417669599497.5343462942
4.4610.3524461737-0.2313309011-0.20969486010.7390756913164.9800275136154.5-49.2122992242124.430659633105.2804722807
4.470.3710002937-0.2310587456-0.19415397740.7404304158166.1146787231164.3-49.4439121528124.1903896011106.3988264192
4.4990.4175685266-0.2301861399-0.15672682930.7448296238168.6035123765159.6-50.1910683758123.4157203108.9189680872
4.5060.4266544861-0.2299764974-0.14975844940.7458993448169.0276714366160.2-50.3716053606123.22862874109.3476388558
4.5410.4641900814-0.2289339874-0.12252086790.751294373170.5541958087163.8-51.2753475871122.2926105668110.8209115361
4.5810.4967473835-0.227754061-0.10143638650.7575564796171.5633035913165.4-52.3102508298121.2218167313111.6140093226
4.6180.5212339421-0.2266734064-0.08750685060.7634425904172.1148879738167.0-53.2693583635120.2304335773111.8515037122
4.6550.5424291649-0.2256029584-0.07694108050.7694208861172.4444577818168.3-54.2300947738119.238286846111.7894499797
4.6930.5619929501-0.2245140523-0.06845258320.775659006172.6291411817169.8-55.218372165118.2186289873111.5154877436
4.71750.5737945029-0.2238175505-0.06390686470.7797348654172.687756688175.2-55.8563417336117.5608891787111.2564612655
4.7680.596799246-0.2223954513-0.05621252930.7882727475172.6975428548171.4-57.1731456289116.2044487446110.5738784406
4.8430.6291525562-0.2203164603-0.04768579850.8013035193172.5122302983172.2-59.1328077849114.1885996301109.303292149
4.890.6490323874-0.2190333219-0.0435463910.8096913512172.3073931627175.8-60.3629910598112.9247767552108.4007478755
4.9180.6608977509-0.2182759789-0.04140515890.8147723504172.1595603927173.6-61.0965498541112.1717337818107.8344748762
5.1150.7498735522-0.213092063-0.0307626590.8524067236170.713815487180.4-66.268723192106.8735368837103.4639966373
5.280.8428239158-0.2089359919-0.02531319410.8867109964169.1021825909177.0-70.609814581102.440571033299.5064974406
5.40.9347766708-0.2060137962-0.02242421420.9134460813167.7579658716182.7-73.768525218699.222077632396.5406485708
5.58751.2000371777-0.2016080056-0.01903054950.9586067085165.4200199445179.2-78.701553566794.20632595291.8227397451
5.71.6632022292-0.1990538383-0.01744635780.9879120357163.8974980629198.2-81.6576579527271.2062926254268.9623703614
5.865-2.2023573303-0.1954226572-0.01554806121.0342864422161.5246661413236.0-85.985301274446.8212132344264.745446039
5.9325-0.2671084074-0.1939750754-0.01488547591.0545372257340.5108612568266.3-87.7523165495445.0329253802263.0161182157
6.09750.4542650766-0.1905252204-0.01348113591.1075453823517.9391003354289.887.938187714440.6764211093258.7851735512
6.3750.7785987369-0.1849918895-0.0116350321.2098232734513.3555783179336.880.7275143729433.4010366417251.6764809589
6.56250.9163967917-0.1814315994-0.01064965271.2903353669510.1062961987336.875.8857933809428.5245137266246.8899770567
6.8251.0944946153-0.1766713804-0.00952081.4229046875505.3914114773341.469.1533896068421.7537738363420.2235940769
6.93751.1732850093-0.1747069019-0.00910708211.4884430943503.3209314916324.866.2855540287418.8728109031417.3812871003
7.1251.3142125965-0.1715280882-0.00849205741.6122056466499.8145579704336.861.5302430971414.09954547412.6659821716
7.51.6582373298-0.165505309-0.00748155951.9337912587492.6341416213339.752.1148297094404.6610906304403.3243370448
fig1
g1^2emin=2, emax=4.2emin=2, emax=3.4
0.002.183.771.790.35
0.102.811.782.530.37
0.203.511.153.420.55
0.304.201.254.320.78
0.404.831.625.140.98
0.505.372.075.831.15
0.605.842.496.401.27
0.706.242.876.871.37
0.806.573.187.261.45
0.906.863.467.591.51
1.007.123.717.881.57
matrpole 2
1.0990.03934003130.0072556458
1.480.09775369460.0082193346
1.550.10818639110.0084249236
1.5540.10878047130.0084369826
1.7040.13092336360.0089155296
1.8690.15506039350.0095088047
2.0030.17458259310.0100520348
2.1520.19630009180.0107338973
2.2280.20741270880.0111185954
2.250.21063673880.0112351557
2.3010.21812607130.0115149973
2.3020.21827315770.0115206238
2.3780.22948253990.0119649475
2.430.23719208150.0122892411
2.4510.24031609470.012425244
2.4570.24120986130.0124646567
2.5280.25182963170.0129507652
2.5880.26087358460.0133921276
2.6780.27457908940.0141136162
2.7380.28382292210.0146394059
2.8290.29803226550.0155160967
2.8870.30722391260.0161318308
30.32548459170.0174835647
3.0380.3317437710.017990504
3.1310.3473529330.0193646573
3.2830.3739270390.0221269818
3.3380.38393752890.0233312463
3.4870.41242150720.0273661918
3.56250.42781241640.0299946708
3.6380.44405058570.0331817223
3.750.47022866960.0393905242
3.7870.4796024630.0419858732
3.93750.52369465280.0573579435
4.0870.58765245720.0901418058
4.10250.59680766920.0958200413
4.1240.61092158040.1049940374
4.1620.64147216730.126379815
4.1990.68247343530.1576447967
4.2370.74775934140.2113414167
4.25250.78747206910.2454422266
4.2740.867750520.3162156493
4.2890.95629723780.39585090044.29E+002.9743137523
4.29E+002.97431375232.9743137523
4.349-31.7012862796-53.8301678398
4.365-0.9380822459-1.4343392979
4.386-0.1051797131-0.6297791078
4.4240.2354208897-0.3125436859
4.4610.3524461737-0.2096948601
4.470.3710002937-0.1941539774
4.4990.4175685266-0.1567268293
4.5060.4266544861-0.1497584494
4.5410.4641900814-0.1225208679
4.5810.4967473835-0.1014363865
4.6180.5212339421-0.0875068506
4.6550.5424291649-0.0769410805
4.6930.5619929501-0.0684525832
4.71750.5737945029-0.0639068647
4.7680.596799246-0.0562125293
4.8430.6291525562-0.0476857985
4.890.6490323874-0.043546391
4.9180.6608977509-0.0414051589
a=6.5
fig1
4.1752140023
2.0347546848
1.2886695649
1.3000975602
1.6279758057
2.0235867672
2.4121196146
2.7362939713
Emax=3.4 MeV
Emax=4.2 MeV
c2
test
-0.268011415633-0.41308878510.4390182041
0.131228445533-0.3793144890.4601911394
-4.024731705433-0.37370090640.4643052427
-0.044319640333-0.37338514450.4645425572
0.30383105833-0.36191744490.4736203962
0.661022755633-0.35008998090.4840248016
0.394502848233-0.34103876910.4928169161
0.32359348610.15424431930.1106703954-0.33150854220.5029759976
0.28479269910.08298406360.0681794226-0.32684973280.5083208298
0.21323593230.05626193270.0485971591-0.32552546960.5098892838
0.26957218890.08668163560.0707280053-0.32249647420.5135627401
0.30614031690.06046379690.0527244271-0.32243764550.5136352978
0.24312859710.05739800290.0500533476-0.31802860580.5192103263
0.17912933890.04194785560.0375901988-0.31508072540.5230950721
0.29185980660.04267366250.0387701238-0.31390566880.5246804401
0.250774240.03456583380.0318911857-0.31357154640.525135169
0.30186863150.03852488090.0354559045-0.30967110130.5305765966
0.23189842490.03359512860.0311130311-0.30644981160.5352636772
0.28706078070.02967014810.0278425732-0.30174160450.5424516535
0.27337399770.030058850.0281794752-0.29868235770.5473518579
0.29471878740.02930393160.0275668067-0.29415909580.5549551413
0.27504986820.0176581980.0170055679-0.29134694090.5599123964
0.3486642170.01801938050.0173635406-0.28601968780.5698293586
0.31035405630.02050581040.0196379958-0.2842717270.573243669
0.3435945810.01981261060.0189956525-0.28008262180.581774916
0.37124254420.019279920.0184904778-0.27349545940.5962787638
0.41326360470.01979037240.0189461229-0.27118764330.601706668
0.51743689670.01523846470.0147266793-0.2651268650.6169203918
0.56887794470.0170242630.0164055147-0.26215805510.6249268525
0.61463906670.01874733850.0180186297-0.25925499660.6331438632
0.70041278630.02241915520.0214424777-0.25506499190.6457392918
0.930119990.03462176260.0326840549-0.25371039730.6500111324
1.60878840040.09030479990.0820155958-0.24834564340.6679857562
2.97431375230.29647716110.2490620152-0.24323653590.6868529573
-0.36900887650.00600569420.0061029703-0.24271883070.6888702467
-0.04233713990.00383447270.0038246627-0.24200436140.6916881203
0.09842947290.00551987730.0054516584-0.2407518120.6967253393
0.18104774620.00673213820.0066116235-0.23954462040.7017009998
0.24004898330.00786999930.0076975065-0.2383173390.7068856585
0.24806290670.01037237380.0100736647-0.23782034080.7090225192
0.2984953040.01463760750.0140444986-0.23713437810.7120080303
0.32847617910.0158777380.0151813966-0.23665813830.7141058785
0.36030295310.01734277390.0165199538-0.23477215530.7226223672
0.39007881230.03687320810.0333720534-0.23427429250.7249278478
0.42644828630.0409036350.0367061461-0.23362404310.72797621
0.48092295990.04768063780.0422182203-0.2324565310.733557962
0.5257312060.04855081480.0430337391-0.23133090110.7390756913
0.59437794140.0584995470.0510279721-0.23105874560.7404304158
-0.23018613990.7448296238
-0.22997649740.7458993448
-0.22893398740.751294373
-0.2277540610.7575564796
-0.22667340640.7634425904
-0.22560295840.7694208861
-0.22451405230.775659006
-0.22381755050.7797348654
-0.22239545130.7882727475
-0.22031646030.8013035193
-0.21903332190.8096913512
-0.21827597890.8147723504
-0.2130920630.8524067236
-0.20893599190.8867109964
pole 4
pole 1
pole 3
rmat (6.5)
pole1
pole 3
R matrix
Feuil1
-0.811-0.0254619257-0.0546572296-0.0537421555-0.0194956361
-0.11.31.3-0.307821268-0.5554609651-0.5445976919-0.1525196447
0.711-0.4331979173-0.760918261-0.7456781174-0.1987604199
-0.60.90.9-0.4413731608-0.774115549-0.7585904968-0.2016266205
0.10.60.6-0.8399063579-1.3964994063-1.3671294608-0.3257372785
0.90.90.9-1.5246850253-2.405017576-2.3519150646-0.4933066574
0.60.90.9-2.30765874-3.5028149032-3.4224485786-0.6421662558
0.40.90.9-3.4443858814-5.0308956685-4.9103806653-0.8047718953
0.10.70.7-4.1372452584-5.9351009694-5.7896536581-0.8804397285
-0.80.70.7-4.3522723413-6.212345653-6.0590765554-0.900882599
-0.10.90.9-4.8757540424-6.8814090852-6.70891494-0.9451924517
0.30.70.7-4.886367365-6.894892824-6.7220060969-0.9460144645
-0.70.90.9-5.7320790891-7.9599836181-7.7554284699-1.0025076885
-1.90.80.8-6.3548582139-8.7336540035-8.5052543205-1.0335858704
00.70.7-6.616412439-9.0561739825-8.8176168197-1.0441974895
-0.90.70.7-6.6921958542-9.1493711688-8.9078544586-1.0470142991
00.80.8-7.624128673-10.286881171-10.0083319971-1.0726975629
-1.90.90.9-8.4613340632-11.296525206-10.9836268313-1.0827011493
-0.70.80.8-9.7995879389-12.8897719489-12.5195856276-1.0760209321
-1.30.90.9-10.7446906444-14.0016474043-13.5890344395-1.0564131856
-1.211-12.2550370238-15.7588973207-15.2746352937-1.0029472511
-2.40.70.7-13.2638298596-16.920778663-16.3857000495-0.9539828517
-0.20.70.7-15.3259639672-19.2705875371-18.6230255678-0.8264831138
-2.10.90.9-16.0465955428-20.0846412282-19.3946732783-0.7745838813
-1.50.90.9-17.8640945717-22.1234405881-21.3181662537-0.6301873324
-1.20.90.9-20.9858909393-25.5840031011-24.5462350213-0.3491772242
-0.30.90.9-22.1575360785-26.8711768776-25.7319958966-0.2366297242
1.70.60.6-25.4312887347-30.439342341-28.96081410320.0886965884
3.30.60.6-27.1405300147-32.2876486119-30.58863828450.2625677123
4.50.60.6-28.8801414064-34.1597406193-32.19410925350.4426880156
6.70.60.6-31.511418629-36.9758400182-34.49310567050.7284912161
11.40.60.6-32.3928633064-37.915371185-35.21737789750.8313885506
18.60.60.6-36.0334964917-41.7778033612-37.81533162781.3523820599
23.80.60.6-39.7263403529-45.6693194238-39.06899646242.3418544063
82.30.60.6-40.1129996505-46.0754141572-39.02647958252.5105014393
126.20.60.6-40.6504154875-46.6394402919-38.87100684272.7819411719
145.60.70.7-41.6032370656-47.6383182143-38.21859424473.4078734172
154.50.70.7-42.5344685621-48.6132195921-36.84694396124.2979862057
159.60.70.7-43.4942586736-49.6166812459-34.01551436745.7363555433
160.20.90.9-43.8866958808-50.0265952732-32.12165837156.5855114544
163.81.11.1-44.431916781-50.5957403425-28.23765893188.1932960463
165.41.11.1-44.8128885708-50.9931870051-24.13933400719.7776072068
1671.11.1-46.3413562643127.414188829925.798273529830.1842182466
168.32.12.1-46.7501286858126.98877003851.131419066952.508884248
169.82.12.1-47.2873595297126.429980016476.5849055286111.4785770562
171.42.12.1-48.2614792647125.417669599497.5343462942155.9224095848
172.21.91.9-49.2122992242124.430659633105.2804722807164.9800275136
173.61.91.9-49.4439121528124.1903896011106.3988264192166.1146787231
-50.1910683758123.4157203108.9189680872168.6035123765
-50.3716053606123.22862874109.3476388558169.0276714366
-51.2753475871122.2926105668110.8209115361170.5541958087
-52.3102508298121.2218167313111.6140093226171.5633035913
172.1148879738
total
HS
HS +1 + 3
HS + 1
dep HS
HS+g1
HS+g1+g2
dep theor.
Ec.m. (MeV)
phase shift (deg)
cap.dat
-0.8-0.811-0.006446222111
-0.1-0.11.31.3-0.06610685821.31.3
0.70.711-0.090692745811
-0.6-0.60.90.9-0.09227320730.90.9
0.10.10.60.6-0.16690121960.60.6
0.90.90.90.9-0.28782058980.90.9
0.60.60.90.9-0.41878161020.90.9
0.40.40.90.9-0.59883312690.90.9
0.10.10.70.7-0.70367305330.70.7
0.1718869366-0.80.70.7-0.73551712330.51566080980.5156608098
-0.8-0.10.90.9-0.81172299280.70.7
-0.10.30.70.7-0.81324901630.90.9
0.3-0.70.90.9-0.9324767950.70.7
0.3437738732-1.90.80.8-1.01733457840.68754774640.6875477464
-0.700.70.7-1.05224060950.90.9
-1.9-0.90.70.7-1.06227387540.80.8
000.80.8-1.1827115650.70.7
-0.9-1.90.90.9-1.28627274750.70.7
0-0.70.80.8-1.44265881550.80.8
-1.9-1.30.90.9-1.54622657070.90.9
-0.7-1.211-1.69962677650.80.8
-1.3-2.40.70.7-1.79354536470.90.9
-0.6646294882-0.20.70.7-1.96323079040.57295645530.5729564553
-1.2-2.10.90.9-2.015143654311
-2.4-1.50.90.9-2.12798324920.70.7
-0.2-1.20.90.9-2.25535214260.70.7
-2.1-0.30.90.9-2.27874798040.90.9
-1.51.70.60.6-2.2591140090.90.9
1.05423987783.30.60.6-2.18877080720.57295645530.5729564553
-1.24.50.60.6-2.06310701250.90.9
1.62719633316.70.60.6-1.73562487710.57295645530.5729564553
-0.311.40.60.6-1.57704268250.90.9
-0.091673032818.60.60.6-0.50043435860.57295645530.5729564553
1.723.80.60.62.08980573950.60.6
1.054239877882.30.60.62.55191531470.57295645530.5729564553
3.3126.20.60.63.30120208580.60.6
4.5145.60.70.75.05102292210.60.6
6.7154.50.70.77.59149722030.60.6
11.4159.60.70.711.84078626980.60.6
10.2215431627160.20.90.914.4383952760.57295645530.5729564553
18.6163.81.11.119.53334087090.60.6
23.8165.41.11.124.75161530280.60.6
82.31671.11.182.21682205690.60.6
61.2146676853168.32.12.1106.09830194871.71886936591.7188693659
126.2169.82.12.1128.3149091460.60.6
145.6171.42.12.1147.37571518910.70.7
154.5172.21.91.9155.35619409230.70.7
164.3468296409173.61.91.9156.62333614841.14591291061.1459129106
159.6159.72137977210.70.7
160.2160.30356073460.90.9
163.8162.58568678491.11.1
165.4164.34591991261.11.1
167165.49354561711.11.1
168.3166.3467593652.12.1
169.8167.01373616482.12.1
175.2330022918167.36077123421.14591291061.1459129106
171.4167.92424430882.12.1
172.2168.49321222231.91.9
175.8059587471168.73533602761.14591291061.1459129106
173.6168.84769419071.91.9
180.3896103896169.17260151656.30252100846.3025210084
176.9518716578169.02508605072.86478227652.8647822765
182.6814362108168.75024398113.43773873193.4377387319
179.243697479168.08987449579.74025974039.7402597403
198.1512605042167.57303637225.15660809785.1566080978
235.9663865546166.66498036568.02139037438.0213903743
266.333078686346.244590991913.750954927413.7509549274
289.8242933537525.103303798413.750954927413.7509549274
336.8067226891522.84169788044.58365164254.5836516425
336.8067226891521.08901872756.87547746376.8754774637
341.3903743316518.35966128536.30252100846.3025210084
324.7746371276337.09939714184.01069518724.0106951872
336.8067226891334.88859598225.15660809785.1566080978
339.6715049656330.09782790835.15660809785.1566080978
d'agostino
plaga
dep theor.
Ec.m. (MeV)
phase shift (deg)
desph.dat
1.099-0.2789179866-0.2680114156100
1.48-0.19752173480.1312284455100
1.55-100-4.0247317054-0.6605460863
1.554-0.1700227472-0.04431964030.7959657437
1.7040.07169037010.3038310581.0654530536
1.8690.25652662250.66102275562.3901824008
2.0030.21161344490.39450284820.7251095163
2.1520.21292309070.32359348610.4778378054
2.2280.21661327650.28479269910.3677767627
2.3010.16463877310.21323593230.269497865
2.3020.19884418360.26957218890.3562538245
2.3780.25341588980.30614031690.3666041138
2.4510.19307524950.24312859710.3005266
2.4570.14153914010.17912933890.2210771945
2.5280.25308968280.29185980660.3345334691
2.5880.21888305430.250774240.2853400738
2.6780.26641272710.30186863150.3403935125
2.7380.20078539390.23189842490.2654935535
2.8290.25921820750.28706078070.3167309288
2.8870.24519452250.27337399770.3034328477
3.0380.26715198060.29471878740.324022719
3.1310.25804430030.27504986820.2927080662
3.2830.33130067630.3486642170.3666835975
3.3380.29071606050.31035405630.3308598667
3.4870.32459892850.3435945810.3634071916
3.6380.35275206640.37124254420.3905224643
3.7870.39431748180.41326360470.4330539771
4.0870.50271021740.51743689670.5326753614
4.1240.552472430.56887794470.5859022077
4.1620.5966204370.61463906670.6333864051
4.1990.67897030850.70041278630.7228319415
4.2370.89743593510.930119990.9647417526
4.2741.52677280471.60878840041.6990932003
4.2892.72525173712.97431375233.2707909134
4.349-0.3751118468-0.3690088765-0.3630031823
4.386-0.0461618026-0.0423371399-0.0385026672
4.4240.09297781450.09842947290.1039493502
4.4610.17443612270.18104774620.1877798844
4.4990.23235147690.24004898330.2479189827
4.5060.2379892420.24806290670.2584352805
4.5410.28445080530.2984953040.3131329114
4.5810.31329478250.32847617910.3443539171
4.6180.34378299930.36030295310.377645727
4.6550.35670675890.39007881230.4269520204
4.6930.38974214020.42644828630.4673519213
4.7680.43870473950.48092295990.5286035976
4.8430.48269746690.5257312060.5742820209
4.9180.54334996930.59437794140.6528774885
-0.2789179866-0.2680114156100
-0.19752173480.1312284455100
-100-4.0247317054-0.6605460863
-0.1700227472-0.04431964030.7959657437
0.07169037010.3038310581.0654530536
0.25652662250.66102275562.3901824008
0.21161344490.39450284820.7251095163
0.21292309070.32359348610.4778378054
0.21661327650.28479269910.3677767627
0.24286211960.2928509130.3502118505
0.16463877310.21323593230.269497865
0.19884418360.26957218890.3562538245
0.25341588980.30614031690.3666041138
0.26277421440.31015635030.3635566215
0.19307524950.24312859710.3005266
0.14153914010.17912933890.2210771945
0.25308968280.29185980660.3345334691
0.21888305430.250774240.2853400738
0.26641272710.30186863150.3403935125
0.20078539390.23189842490.2654935535
0.25921820750.28706078070.3167309288
0.24519452250.27337399770.3034328477
0.28910595410.30618037210.3239012131
0.26715198060.29471878740.324022719
0.25804430030.27504986820.2927080662
0.33130067630.3486642170.3666835975
0.29071606050.31035405630.3308598667
0.32459892850.3435945810.3634071916
0.39779878190.4112529580.4251040446
0.35275206640.37124254420.3905224643
0.43751019520.45090878860.4647109781
0.39431748180.41326360470.4330539771
0.43182262970.44418646040.4569126697
0.50271021740.51743689670.5326753614
0.49157748080.5052255050.5193176426
0.552472430.56887794470.5859022077
0.5966204370.61463906670.6333864051
0.67897030850.70041278630.7228319415
0.89743593510.930119990.9647417526
0.84735572660.87581780650.9058059868
1.52677280471.60878840041.6990932003
2.72525173712.97431375233.2707909134
-0.3751118468-0.3690088765-0.3630031823
-0.7173149465-0.6758371414-0.6382083635
-0.0461618026-0.0423371399-0.0385026672
0.09297781450.09842947290.1039493502
0.17443612270.18104774620.1877798844
0.27698582450.29153141250.3067026646
0.23235147690.24004898330.2479189827
0.2379892420.24806290670.2584352805
0.28445080530.2984953040.3131329114
0.31329478250.32847617910.3443539171
0.34378299930.36030295310.377645727
0.35670675890.39007881230.4269520204
0.38974214020.42644828630.4673519213
0.52411491320.55255376120.5831925655
0.43870473950.48092295990.5286035976
0.48269746690.5257312060.5742820209
0.61195324060.64775416470.6868750319
0.54334996930.59437794140.6528774885
0.7247179921.07404121971.9116386892
0.86605781121.05092797591.3216194534
1.57989571732.45218173215.2889529951
0.95680450762.7195766505100
-1.4328347498-0.9629841513-0.7195515984
-0.2451734752-0.1891451165-0.1423328248
-0.0888051295-0.02635721850.0358276578
0.03609835350.10383919580.1907977748
0.92698725711.40085837242.7536631713
1.08127784862.6388054118100
-100-2.1292777328-1.0312608251
1.01648582341.55036959083.1668435049
-3.5166193007-1.4128848138-0.8785057681
-0.7489781379-0.5524967116-0.4323970772
GCM
6.5224.2
-0.2440.02079.70E-08-0.240.29.70E-08
4.320.0233-1.00E-064.360.0139-1.00E-06
6.880.8841.00E-05103.51.00E-05
2.683.43E-042.683.43E-04
Brune
-0.40375988130.05774088661.620-0.2440.0207
4.30095987550.03689555994.320.0233
6.60921569050.927401246.880.884
2.67925615340.0006688823
matrdep theor.dep expSexp ou dep HSdep theor.
1.0990.1414053729-0.0064462221-0.8-0.0254619257-0.0194885794-0.03842322870.01152280520.16830579640.0004232746
1.480.1632347563-0.0661068582-0.1-0.307821268-0.1524323893-0.03065193560.013079080.18080761190.0005577477
1.550.1671674494-0.09069274580.7-0.4331979173-0.1986362686-0.02955372720.01341188590.18330929080.0005923212
1.5540.1673924076-0.0922732073-0.6-0.4413731608-0.2015000391-0.02949334450.01343141570.18345433640.0005944267
1.7040.1758770934-0.16690121960.1-0.8399063579-0.3254889107-0.02739443290.01420721220.18906431410.000685853
1.8690.1854108637-0.28782058980.9-1.5246850253-0.4928354489-0.02540562560.0151711220.19564536730.0008255196
2.0030.1934015718-0.41878161020.6-2.30765874-0.6414213661-0.02399112890.01605578940.20133691130.0009890961
2.1520.202643969-0.59883312690.4-3.4443858814-0.8035963025-0.02259245360.01716903160.2080673910.0012686098
2.2280.2075351547-0.70367305330.1-4.1372452584-0.8789828946-0.02194002840.01779849210.2116766910.0014822675
2.250.2089762446-0.73551712330.2-4.3522723413-0.9434204823-0.02175814290.01798941090.21274497660.0017683316
2.3010.2123636903-0.8117229928-0.8-4.8757540424-0.9442378511-0.0213478790.01844815010.21526341920.001773019
2.3020.2124307863-0.8132490163-0.1-4.886367365-1.0003505434-0.02133998920.01845737890.21531339660.0022203109
2.3780.2176106961-0.9324767950.3-5.7320790891-1.0416202531-0.02075696290.0191868590.21918080.0029304021
2.430.2212520175-1.01733457840.3-6.3548582139-1.0444000034-0.02037606890.01972012360.22190796280.0030095109
2.4510.2227464506-1.0522406095-0.7-6.616412439-1.0696137714-0.02022617980.01994397850.2230286520.0044221825
2.4570.223176046-1.0622738754-1.9-6.6921958542-1.0791736795-0.02018375850.02000887350.2233509310.0073297229
2.5280.2283517091-1.1827115650.0-7.624128673-1.0717403923-0.01969495760.02081014940.22723651730.5324845692
2.5880.2328661766-1.2862727475-0.9-8.4613340632-1.051567548-0.01929997360.02153906840.2306270818-0.0113864235
2.6780.2399041504-1.44265881550.0-9.7995879389-0.9971394207-0.01873633530.0227335010.2359069848-0.0044668434
2.7380.2447910026-1.5462265707-1.9-10.7446906444-0.9474903334-0.01837851670.02360621060.2395633088-0.0032197455
2.8290.2525346723-1.6996267765-0.7-12.2550370238-0.766015766-0.0178611740.02506560170.2453302446-0.0018645123
2.8870.2577004217-1.7935453647-1.3-13.2638298596-0.6201015171-0.01754636880.02609378140.2491530092-0.0014806672
30.2683500817-1.9632307904-0.7-15.3259639672-0.336134173-0.01696385430.02836025970.2569536762-0.0011078909
3.0380.2721248323-2.0151436543-1.2-16.0465955428-0.2223431786-0.01677655870.02921356460.2596878263-0.0010153906
3.1310.2818319027-2.1279832492-2.4-17.86409457170.1069492744-0.01633516520.03153574810.2666313198-0.0008280872
3.2830.2993986475-2.2553521426-0.2-20.98589093930.4661959794-0.0156616890.03624461120.2788157252-0.0006976653
3.3380.306386808-2.2787479804-2.1-22.15753607850.8621157421-0.01543147830.03831474280.2835035436-0.000603824
3.4870.3275210055-2.259114009-1.5-25.43128873472.4046744085-0.01484051660.04532847510.297033047-0.0004751449
3.56250.3397985894-2.18877080721.1-27.14053001472.8531619024-0.0145580190.04996284990.3043937585-0.0004629764
3.6380.3534952525-2.0631070125-1.2-28.88014140643.4902845442-0.01428607540.05565277970.3121285483-0.0004511112
3.750.3774202099-1.73562487711.6-31.5114186294.3950867873-0.01390087250.06696596530.3243551171-0.0004401283
3.7870.3866162056-1.5770426825-0.3-32.39286330645.8548261443-0.01377814240.07178684890.3286074991-0.0004293917
3.93750.4353298041-0.5004343586-0.1-36.03349649178.342869526-0.01330049070.10151205790.3471182369-0.0004194293
4.0870.5272768552.08980573951.7-39.72634035299.9440475715-0.01285770960.17244149090.3676930738-0.000415521
4.10250.54306259772.55191531471.1-40.112999650530.3625538513-0.01281348350.18590941780.3699666634-0.0004005898
4.1240.56891142113.30120208583.3-40.6504154875110.2395531441-0.01275263890.20849675560.3731673044-0.0003919055
4.1620.63182761675.05102292214.5-41.6032370656155.4236868823-0.01264650090.26551232710.3789617906-0.0003833699
4.1990.734098047.59149722036.7-42.5344685621164.7150215726-0.01254484010.36186352460.3847793555-0.0003754088
4.2370.955355712311.840786269811.4-43.4942586736168.4290926719-0.0124421190.57685478010.3909430511-0.0003675695
4.25251.142476639814.43839527610.2-43.8866958808168.8638369554-0.0124007010.76136307690.3935142638-0.000366161
4.2741.753329579619.533340870918.6-44.431916781170.429046395-0.01234370471.36853599040.3971372939-0.0003592773
4.2893.472345654524.751615302823.8-44.8128885708171.4653640342-0.01230424913.08494515040.3997047532-0.0003517205
4.349-0.369849039482.216822056982.3-46.3413562643172.0337292877-0.0121489173-0.76801549330.4103153712-0.0003450081
4.365-0.1749993863106.098301948761.2-46.7501286858172.3754405008-0.0121081556-0.57613192050.4132406898-0.0003385471
4.386-0.0287716055128.314909146126.2-47.2873595297172.569534561-0.0120550692-0.43386060560.4171440693-0.0003321586
4.4240.1125717699147.3757151891145.6-48.2614792647172.6510057258-0.011960182-0.29986608080.4243980327-0.0003202319
4.4610.1892990417155.3561940923154.5-49.2122992242172.4744775893-0.0118692162-0.23053943520.4317076931-0.0003091319
4.470.2034115523156.6233361484164.3-49.4439121528172.1281258042-0.0118472982-0.21826510140.4335239519-0.0002987757
4.4990.2414010504159.7213797721159.6-50.1910683758-0.011777221-0.18630345750.43948172890.0870590705
4.5060.2492408774160.3035607346160.2-50.3716053606-0.0117604298-0.17994312090.44094442820.0875205649
4.5410.283023453162.5856867849163.8-51.2753475871-0.0116771872-0.15370580230.44840644250.0899034254
4.5810.3139153497164.3459199126165.4-52.3102508298-0.0115834841-0.13175097670.45724981040.0927906782
4.6180.3378730633165.4935456171167.0-53.2693583635-0.0114981377-0.11637504870.46574624960.0956315491
4.6550.358937449166.346759365168.3-54.2300947738-0.0114140398-0.10421293340.47456442220.0986518656
4.6930.3785347589167.0137361648169.8-55.218372165-0.0113289399-0.09411169320.4839753920.101959054
4.71750.3903924701167.3607712342175.2-55.8563417336-0.0112747425-0.08857624450.49024345710.1042114861
4.7680.413526281167.9242443088171.4-57.1731456289-0.0111646495-0.07899869410.50368962460.1091832107
4.8430.4460051288168.4932122223172.2-59.1328077849-0.0110050561-0.06806794970.52507813460.1175091459
4.890.465888645168.7353360276175.8-60.3629910598-0.010907349-0.06263675150.53943274550.1234064229
4.9180.4777192817168.8476941907173.6-61.0965498541-0.0108499609-0.05979442580.54836366830.1272097206
5.1150.5648742272169.1726015165180.4-66.268723192-0.0104626561-0.04532400650.62066088980.1624304357
5.280.6498612404169.0250860507177.0-70.609814581-0.0101589243-0.03768544210.69770560690.2114696693
5.40.723424843168.7502439811182.7-73.7685252186-0.0099488759-0.03357071240.76694443130.2709656812
5.58750.8693744762168.0898744957179.2-78.7015535667-0.0096375199-0.02867812610.90769012220.4835237598
5.70.9841694181167.5730363722198.2-81.6576579527-0.0094598883-0.02637205271.02000135910.9134601064
5.8651.2133449763166.6649803656236.0-85.985301274-0.0092108946-0.02358990631.2461457771-3.0036111595
5.93251.3387177001346.2445909919266.3-87.7523165495-0.0091127712-0.02261394581.3704444171-1.0905364947
6.09751.7829184226525.1033037984289.887.938187714-0.0088814918-0.02053700861.8123369231-0.4265027091
6.3753.9332962461522.8416978804336.880.7275143729-0.008517913-0.01778922193.959603381-0.2107155489
6.562519.8274259404521.0890187275336.875.8857933809-0.0082886495-0.016314351219.8520289411-0.1570330102
6.825-4.3204212385518.3596612853341.469.1533896068-0.0079876614-0.0146176598-4.2978159172-0.1157490092
6.9375-2.8468532944337.0993971418324.866.2855540287-0.0078652558-0.0139939307-2.8249941079-0.1040280174
7.125-1.8187750045334.8885959822336.861.5302430971-0.0076693755-0.0130648143-1.7980408146-0.0890063891
7.5-1.0599452118330.0978279083339.752.1148297094-0.0073054961-0.011533322-1.0411063937-0.069061462
0.000010.710.1
180.25
11.251.51.7522.252.52.7533.253.53.7544.254.54.7555.255.55.7566.256.56.7577.257.57.758
0.0089.2152.4928.0513.235.864.216.9012.8821.3031.5143.0255.4368.4581.8595.44109.10122.71136.21149.52162.60175.44187.99200.24212.20223.84235.17246.19256.91267.322.224.18
0.10148.68101.5366.3640.8823.1811.665.042.292.575.249.7415.6822.7230.6039.1148.0757.3566.8576.4886.1795.88105.54115.24124.77134.20143.50152.67161.70170.592.852.03
0.20219.62163.79119.5384.9258.2838.2423.5513.256.532.741.341.873.997.3911.8317.1523.1529.6836.6543.9851.5759.3867.3475.3083.4291.5899.75107.92116.133.561.29
0.30298.80235.55183.33140.68106.0178.1956.0938.8325.6415.878.984.502.031.302.013.946.8910.7115.2520.3725.9932.0538.4745.1852.1159.3266.7274.1881.754.251.30
0.40383.55313.87254.57204.48162.39127.2798.1874.3154.9339.4127.1417.7910.886.113.161.781.762.905.048.0111.7416.1121.0626.4432.3038.4544.9051.5358.324.881.63
0.50001471.8042581384396.2377638761330.5273.4864459081224.4294025568182.4172176349146.6518820209116.404244647490.890328622869.737673442752.277745314338.128815005526.845351827218.068208399911.48280599356.84991190313.85435582582.32044079872.06258258762.90679260514.71697610927.394994316810.793974132114.886158666319.508935410524.573686368330.092363041935.88382201142.03803601815.43349415772.0235867672
0.60561.63480.73408.94345.57289.94241.36199.19162.60131.27104.5982.0463.1547.5234.7624.6416.7010.786.573.912.612.493.445.338.0411.4215.4620.0425.0030.495.902.41
0.70651.72565.89488.50419.12357.26302.28253.89211.40174.40142.34114.7691.2171.2854.7240.9429.8120.9214.079.035.553.532.763.114.446.649.6013.1817.4122.136.302.74
emin=2, emax=4.2idem Gamma_2=-0.064emin=2, emax=3.4idem Gamma-2=-0.064
0.002.183.772.224.181.790.351.790.35
0.102.811.782.852.032.530.372.540.37
0.203.511.153.561.293.420.553.430.55
0.304.201.254.251.304.320.784.340.77
0.404.831.624.881.635.140.985.160.98
0.505.372.075.43349415772.02358676725.831.155.85088410721.1386392507
0.605.842.495.902.416.401.276.421.26
0.706.242.876.302.746.871.376.881.36
0.806.573.187.261.45
0.906.863.467.591.51
1.007.123.717.881.57
7.50.6336.3339.7-86.5
GCM
-0.8-0.811
-0.1-0.11.31.3
0.70.711
-0.6-0.60.90.9
0.10.10.60.6
0.90.90.90.9
0.60.60.90.9
0.40.40.90.9
0.10.10.70.7
0.1718869366-0.80.70.7
-0.8-0.10.90.9
-0.10.30.70.7
0.3-0.70.90.9
0.3437738732-1.90.80.8
-0.700.70.7
-1.9-0.90.70.7
000.80.8
-0.9-1.90.90.9
0-0.70.80.8
-1.9-1.30.90.9
-0.7-1.211
-1.3-2.40.70.7
-0.6646294882-0.20.70.7
-1.2-2.10.90.9
-2.4-1.50.90.9
-0.2-1.20.90.9
-2.1-0.30.90.9
-1.51.70.60.6
1.05423987783.30.60.6
-1.24.50.60.6
1.62719633316.70.60.6
-0.311.40.60.6
-0.091673032818.60.60.6
1.723.80.60.6
1.054239877882.30.60.6
3.3126.20.60.6
4.5145.60.70.7
6.7154.50.70.7
11.4159.60.70.7
10.2215431627160.20.90.9
18.6163.81.11.1
23.8165.41.11.1
82.31671.11.1
61.2146676853168.32.12.1
126.2169.82.12.1
145.6171.42.12.1
154.5172.21.91.9
164.3468296409173.61.91.9
159.6
160.2
163.8
165.4
167
168.3
169.8
175.2330022918
171.4
172.2
175.8059587471
173.6
180.3896103896
176.9518716578
182.6814362108
179.243697479
198.1512605042
235.9663865546
266.333078686
289.8242933537
336.8067226891
336.8067226891
341.3903743316
324.7746371276
336.8067226891
339.6715049656
d'agostino
plaga
Brune
dep theor.
fig_cap
-0.8110.0393400313-0.0194956361-0.8-0.0254619257
-0.11.31.30.0977536946-0.1525196447-0.1-0.307821268
0.7110.1081863911-0.19876041990.7-0.4331979173
-0.60.90.90.1087804713-0.2016266205-0.6-0.4413731608
0.10.60.60.1309233636-0.32573727850.1-0.8399063579
0.90.90.90.1550603935-0.49330665740.9-1.5246850253
0.60.90.90.1745825931-0.64216625580.6-2.30765874
0.40.90.90.1963000918-0.80477189530.4-3.4443858814
0.10.70.70.2074127088-0.88043972850.1-4.1372452584
-0.80.70.70.2106367388-0.9008825990.1718869366-4.3522723413
-0.10.90.90.2181260713-0.9451924517-0.8-4.8757540424
0.30.70.70.2182731577-0.9460144645-0.1-4.886367365
-0.70.90.90.2294825399-1.00250768850.3-5.7320790891
-1.90.80.80.2371920815-1.03358587040.3437738732-6.3548582139
00.70.70.2403160947-1.0441974895-0.7-6.616412439
-0.90.70.70.2412098613-1.0470142991-1.9-6.6921958542
00.80.80.2518296317-1.07269756290-7.624128673
-1.90.90.90.2608735846-1.0827011493-0.9-8.4613340632
-0.70.80.80.2745790894-1.07602093210-9.7995879389
-1.30.90.90.2838229221-1.0564131856-1.9-10.7446906444
-1.2110.2980322655-1.0029472511-0.7-12.2550370238
-2.40.70.70.3072239126-0.9539828517-1.3-13.2638298596
-0.20.70.70.3254845917-0.8264831138-0.6646294882-15.3259639672
-2.10.90.90.331743771-0.7745838813-1.2-16.0465955428
-1.50.90.90.347352933-0.6301873324-2.4-17.8640945717
-1.20.90.90.373927039-0.3491772242-0.2-20.9858909393
-0.30.90.90.3839375289-0.2366297242-2.1-22.1575360785
1.70.60.60.41242150720.0886965884-1.5-25.4312887347
3.30.60.60.42781241640.26256771231.0542398778-27.1405300147
4.50.60.60.44405058570.4426880156-1.2-28.8801414064
6.70.60.60.47022866960.72849121611.6271963331-31.511418629
11.40.60.60.4796024630.8313885506-0.3-32.3928633064
18.60.60.60.52369465281.3523820599-0.0916730328-36.0334964917
23.80.60.60.58765245722.34185440631.7-39.7263403529
82.30.60.6
126.20.60.6
145.60.70.7
154.50.70.7
159.60.70.7
160.20.90.9
163.81.11.1
165.41.11.1
1671.11.1
168.32.12.1
169.82.12.1
171.42.12.1
172.21.91.9
173.61.91.9
-0.8
-0.1
0.7
-0.6
0.1
0.9
0.6
0.4
0.1
0.1718869366
-0.8
-0.1
0.3
0.3437738732
-0.7
-1.9
0
-0.9
0
-1.9
-0.7
-1.3
-0.6646294882
-1.2
-2.4
-0.2
-2.1
-1.5
1.0542398778
-1.2
1.6271963331
-0.3
-0.0916730328
1.7
1.0542398778
3.3
4.5
6.7
11.4
10.2215431627
18.6
23.8
82.3
61.2146676853
126.2
145.6
154.5
164.3468296409
159.6
160.2
163.8
165.4
167
168.3
169.8
175.2330022918
171.4
172.2
175.8059587471
173.6
180.3896103896
176.9518716578
182.6814362108
179.243697479
198.1512605042
235.9663865546
266.333078686
289.8242933537
336.8067226891
336.8067226891
341.3903743316
324.7746371276
336.8067226891
339.6715049656
P. Descouvemont:fit capture
emin=2, emax=4.2
phaseshift
matr
dep theor.
dep exp
dep HS
poles
E(MeV)S(MeV b)error1000
0.9427.1510.862.184.584.57dyba
0.9420.816.92.428.192.93
1.0628.312.32.568.241.37
1.18.853.482.832.220.19
1.1920.57.60.9427.1510.86redder
1.36.582.571.18.853.48
1.317.23.61.36.582.57
1.3711.74.11.43.531.83
1.43.531.831.55.722.15
1.448.03.61.621.200.60
1.55.722.151.76.361.59
1.564.42.51.83.191.59
1.587.321.912.321.06
1.621.20.62.081.620.65
1.693.21.82.133.063.05*
1.76.361.592.2211.705.32
1.783.81.42.236.072.76
1.83.191.592.283.891.30
1.912.321.062.332.121.41
1.942.12.02.352.121.41
1.9811.62.421.170.59
2.081.620.652.437.783.89
2.090.82.82.497.262.29
2.133.063.062.541.591.06
2.172.32.22.576.361.70
2.191.03.52.780.200.15
2.2211.75.322.80.360.35*
2.236.072.762.841.010.36
2.283.891.31.3711.704.10ouellet
2.291.91.91.587.302.00
2.332.121.411.783.801.40
2.352.121.411.981.000.90
2.392.61.72.172.302.20
2.391.51.52.392.601.70
2.428.192.932.582.800.60
2.421.170.592.841.180.21
2.437.783.892.981.720.17
2.443.33.20.9420.7916.85roters
2.497.262.291.0628.3212.32
2.490.92.21.1920.467.55
2.541.591.061.317.193.62
2.541.31.91.447.983.64
2.568.241.371.564.382.52
2.576.361.71.693.191.75
2.582.80.61.942.131.97
2.780.20.152.090.830.82*
2.792.60.82.190.990.98*
2.80.360.362.291.901.89*
2.823.20.92.391.501.49*
2.832.220.192.443.333.21
2.841.010.362.490.880.87*
2.841.180.212.541.331.29*
2.943.40.62.792.570.84
2.981.720.172.823.190.87
2.992.90.42.943.360.60
3.122.90.62.992.940.43
3.143.10.93.122.890.63
3.192.50.53.143.070.85
3.221.01.13.192.530.49
3.291.90.33.220.980.97*
3.390.71.13.291.881.87*
3.390.71.13.390.730.72*
P. Descouvemont:emin
P. Descouvemont:emax
P. Descouvemont:chi2 dephasage
P. Descouvemont:chi2 matr
P. Descouvemont:pour le fit du dephasage
P. Descouvemont:pour le fit du dephasage
P. Descouvemont:pour le fit du dephasage
Feuil1 (2)
E(MeV)phaseshifterreurrmat (6.5)
1.10E+00-8.00E-011-0.2789179866-0.26801141561003.00E+003.00E+00
1.48E+00-1.00E-011.3-0.19752173480.13122844551003.00E+003.00E+00
1.55E+007.00E-011-100-4.0247317054-0.66054608633.00E+003.00E+00
1.55E+00-6.00E-010.9-0.1700227472-0.04431964030.79596574373.00E+003.00E+00
1.70E+001.00E-010.60.07169037010.3038310581.06545305363.00E+003.00E+00
1.87E+009.00E-010.90.25652662250.66102275562.39018240083.00E+003.00E+00
2.00E+006.00E-010.90.21161344490.39450284820.72510951633.00E+003.00E+00
2.15E+004.00E-010.90.21292309070.32359348610.47783780541.11E-011.54E-01
2.23E+001.00E-010.70.21661327650.28479269910.36777676276.82E-028.30E-02
2.30E+00-8.00E-010.70.16463877310.21323593230.2694978654.86E-025.63E-02
2.30E+00-1.00E-010.90.19884418360.26957218890.35625382457.07E-028.67E-02
2.38E+003.00E-010.70.25341588980.30614031690.36660411385.27E-026.05E-02
2.45E+00-7.00E-010.90.19307524950.24312859710.30052665.01E-025.74E-02
2.46E+00-1.90E+000.80.14153914010.17912933890.22107719453.76E-024.19E-02
2.53E+000.00E+000.70.25308968280.29185980660.33453346913.88E-024.27E-02
2.59E+00-9.00E-010.70.21888305430.250774240.28534007383.19E-023.46E-02
2.68E+000.00E+000.80.26641272710.30186863150.34039351253.55E-023.85E-02
2.74E+00-1.90E+000.90.20078539390.23189842490.26549355353.11E-023.36E-02
2.83E+00-7.00E-010.80.25921820750.28706078070.31673092882.78E-022.97E-02
2.89E+00-1.30E+000.90.24519452250.27337399770.30343284772.82E-023.01E-02
3.04E+00-1.20E+0010.26715198060.29471878740.3240227192.76E-022.93E-02
3.13E+00-2.40E+000.70.25804430030.27504986820.29270806621.70E-021.77E-02
3.28E+00-2.00E-010.70.33130067630.3486642170.36668359751.74E-021.80E-02
3.34E+00-2.10E+000.90.29071606050.31035405630.33085986671.96E-022.05E-02
3.49E+00-1.50E+000.90.32459892850.3435945810.36340719161.90E-021.98E-02
3.64E+00-1.20E+000.90.35275206640.37124254420.39052246431.85E-021.93E-02
3.79E+00-3.00E-010.90.39431748180.41326360470.43305397711.89E-021.98E-02
4.09E+001.70E+000.60.50271021740.51743689670.53267536141.47E-021.52E-02
4.12E+003.30E+000.60.552472430.56887794470.58590220771.64E-021.70E-02
4.16E+004.50E+000.60.5966204370.61463906670.63338640511.80E-021.87E-02
4.20E+006.70E+000.60.67897030850.70041278630.72283194152.14E-022.24E-02
4.24E+001.14E+010.60.89743593510.930119990.96474175263.27E-023.46E-02
4.27E+001.86E+010.61.52677280471.60878840041.69909320038.20E-029.03E-02
4.29E+002.38E+010.62.72525173712.97431375233.27079091342.49E-012.96E-01
4.35E+008.23E+010.6-0.3751118468-0.3690088765-0.36300318236.10E-036.01E-03
4.39E+001.26E+020.6-0.0461618026-0.0423371399-0.03850266723.82E-033.83E-03
4.42E+001.46E+020.70.09297781450.09842947290.10394935025.45E-035.52E-03
4.46E+001.55E+020.70.17443612270.18104774620.18777988446.61E-036.73E-03
4.50E+001.60E+020.70.23235147690.24004898330.24791898277.70E-037.87E-03
4.51E+001.60E+020.90.2379892420.24806290670.25843528051.01E-021.04E-02
4.54E+001.64E+021.10.28445080530.2984953040.31313291141.40E-021.46E-02
4.58E+001.65E+021.10.31329478250.32847617910.34435391711.52E-021.59E-02
4.62E+001.67E+021.10.34378299930.36030295310.3776457271.65E-021.73E-02
4.66E+001.68E+022.10.35670675890.39007881230.42695202043.34E-023.69E-02
4.69E+001.70E+022.10.38974214020.42644828630.46735192133.67E-024.09E-02
4.77E+001.71E+022.10.43870473950.48092295990.52860359764.22E-024.77E-02
4.84E+001.72E+021.90.48269746690.5257312060.57428202094.30E-024.86E-02
4.92E+001.74E+021.90.54334996930.59437794140.65287748855.10E-025.85E-02
1.10E+00-8.00E-011
1.48E+00-1.00E-011.3
1.55E+007.00E-011
1.55E+00-6.00E-010.9
1.70E+001.00E-010.6
1.87E+009.00E-010.9
2.00E+006.00E-010.9
2.15E+004.00E-010.9
2.23E+001.00E-010.7
2.25E+001.72E-010.5156608098
2.30E+00-8.00E-010.7
2.30E+00-1.00E-010.9
2.38E+003.00E-010.7
2.43E+003.44E-010.6875477464
2.45E+00-7.00E-010.9
2.46E+00-1.90E+000.8
2.53E+000.00E+000.7
2.59E+00-9.00E-010.7
2.68E+000.00E+000.8
2.74E+00-1.90E+000.9
2.83E+00-7.00E-010.8
2.89E+00-1.30E+000.9
3.00E+00-6.65E-010.5729564553
3.04E+00-1.20E+001
3.13E+00-2.40E+000.7
3.28E+00-2.00E-010.7
3.34E+00-2.10E+000.9
3.49E+00-1.50E+000.9
3.56E+001.05E+000.5729564553
3.64E+00-1.20E+000.9
3.75E+001.63E+000.5729564553
3.79E+00-3.00E-010.9
3.94E+00-9.17E-020.5729564553
4.09E+001.70E+000.6
4.10E+001.05E+000.5729564553
4.12E+003.30E+000.6
4.16E+004.50E+000.6
4.20E+006.70E+000.6
4.24E+001.14E+010.6
4.25E+001.02E+010.5729564553
4.27E+001.86E+010.6
4.29E+002.38E+010.6
4.35E+008.23E+010.6
4.37E+006.12E+011.7188693659
4.39E+001.26E+020.6
4.42E+001.46E+020.7
4.46E+001.55E+020.7
4.47E+001.64E+021.1459129106
4.50E+001.60E+020.7
4.51E+001.60E+020.9
4.54E+001.64E+021.1
4.58E+001.65E+021.1
4.62E+001.67E+021.1
4.66E+001.68E+022.1
4.69E+001.70E+022.1
4.72E+001.75E+021.1459129106
4.77E+001.71E+022.1
4.84E+001.72E+021.9
4.89E+001.76E+021.1459129106
4.92E+001.74E+021.9
5.12E+001.80E+026.3025210084
5.28E+001.77E+022.8647822765
5.40E+001.83E+023.4377387319
5.59E+001.79E+029.7402597403
5.70E+001.98E+025.1566080978
5.87E+002.36E+028.0213903743
5.93E+002.66E+0213.7509549274
6.10E+002.90E+0213.7509549274
6.38E+003.37E+024.5836516425
6.56E+003.37E+026.8754774637
6.83E+003.41E+026.3025210084
6.94E+003.25E+024.0106951872
7.13E+003.37E+025.1566080978
7.50E+003.40E+025.1566080978
D'Agostino
GCM1000
0.349.9975
0.527.3982
0.717.7121
0.912.7574
1.19.94976
1.38.27407
1.57.27837
1.76.75514
1.96.63079
2.16.95257
2.38.03449
2.511.9118
2.6231.1829
2.6451.7011
2.66150.025
2.683723.69
2.730.1458
2.730.1458
2.722.60023
2.740.0501054
2.760.246896
2.780.889573
2.81.56361
2.94.09531
2.94.09531
36.10882
3.17.58287
3.17.58287
3.28.56822
3.39.92082
3.411.2557
3.512.5027
3.613.5509
3.714.2775
3.814.5916
3.914.4719
413.9759
4.113.2147
4.212.3133
4.311.3789
D'Agostino
4.5827.1511.720.794.574.5710.8610.864.14.116.8516.85328.6846009297345.210098599313.2389811341333.6790391199
8.198.857.328.322.932.933.483.482212.3212.32205.5732704013218.7458393394193.1011119137209.3561068459
8.246.583.820.461.371.372.572.571.41.47.557.55136.7710054708147.5757529284126.3995977196139.6964748064
2.223.5317.190.190.191.831.830.90.93.623.6294.7950334167103.819287531886.00598456397.0762059791
5.722.37.982.152.152.22.23.643.6467.546119528775.169446207260.006278610969.3225186802
1.22.64.380.60.61.71.72.522.5249.03303979755.516141970142.515402067450.4022856288
6.362.83.191.591.590.60.61.751.7536.018488858841.549364188430.361136288437.0527361765
3.191.182.131.591.590.210.211.971.9726.630957778431.350840383121.713987114127.3861388738
2.321.720.831.061.060.170.170.820.8219.728507949123.747391658215.460225408420.2498622266
1.620.990.650.650.980.9814.582763680817.989165841910.89100098514.9083111595
3.061.93.053.051.891.8910.711411627313.57875312357.537854535710.8742200565
11.71.55.325.321.491.497.784554043410.17544311255.08094720437.8142674296
6.073.332.762.763.213.215.57000291277.53916493723.29558340415.4939090801
3.890.881.31.30.870.873.90014188035.49645192882.01990969633.7439574743
2.121.331.411.411.291.292.65122963923.91914739071.13480496532.4397268252
2.122.571.411.410.840.841.73011727812.71073081810.55102113861.4876867163
1.173.190.590.590.870.871.06549491511.79731917020.20075381340.8167271984
7.783.363.893.890.60.60.6019550111.12158711840.03199294440.3723300484
7.262.942.292.290.430.430.29582319440.63852368160.00469051910.1126391774
1.592.891.061.060.630.630.11208314660.31232435490.0882334730.0058794495
6.363.071.71.70.850.850.02190313150.11389995230.26012068010.0289778357
0.22.530.150.150.490.490.00023208520.01843116730.50648800360.1679456892
0.360.980.350.350.970.970.02231693410.00170999260.82782905690.4230913572
1.011.880.360.361.871.870.05464116510.03020236991.26983527610.8375175569
0.730.720.720.01946589780.01782501032.22682968251.7802733969
1.04600441110.98651117227.84038303697.1704928879
2.44855732592.347719714411.238986089710.4545089799
7.03201432136.84453600519.784905679618.7679919704
34.77964759334.327476100659.205336351957.4937157541
56.323007703955.739876566686.457675682784.4048804057
103.1460085172102.3486361417142.5875184544139.9780844941
235.262586676234.0553579322292.4499908467288.7790700857
882.0700232219879.8164138882984.3581762556977.9943148987
11439.364156048611439.364156048611439.364156048611439.3641560486
1133.77580425861136.64910129731013.87619397131020.8591274689
301.9440866478303.4685417482240.9074306623244.3401544258
139.027722589140.076605304498.7163462326100.902543951
80.908458676281.719315078550.982509599252.5451498443
53.578705827154.247474578629.86741822931.0575487768
15.864774849816.25416393524.50687135244.9604826191
8.28833745598.58887071041.01956757441.2335858572
5.43226145525.69129152110.20372671080.3014013348
1.11394903421.39027982521.06792161171.0096076284
1.04340958681.49670065281.56139625611.6884918485
1.10308649561.8002827931.88045437992.2834338678
1.17674912462.18878054962.11197270662.8794764274
1.23315751832.64124834852.27004278213.5014918132
1.25559038953.15595984572.35238269234.164524186
1.23139309053.74169631922.35083226024.8856486876
1.14943786634.41893322752.25407857285.690925761
0.99979839785.22641873742.04850647176.6243759792
0.77556044716.23622247351.71923882857.7647040207
0.48041508427.5886409721.25478894169.2623573046
0.1573281629.58327968340.66829053611.4348351165
0.009506334912.96399266330.098429176215.0622714749
1.053540392820.0969025840.397657188722.5988492635
10.885770918442.97348022278.615202546846.3130036706
dyba
redder
ouellet
roters
"+/+"
"+/-"
"-/+"
"-/-"
GCM
"-/-""-/+""+/-""+/+"1.00E+06
0.00E+00366.356.7504.971.3
4.00E+0051.417.674.715.7
8.00E+0019.211.223.411.7
1.20E+0112.86.711.88.4
1.60E+0111.55.210.15.2
2.00E+0110.49.410.34.1
2.40E+018.721.29.97.2
2.80E+016.842.68.516.5
3.20E+015.475.16.433.5
3.60E+015.8120.04.659.6
4.00E+018.7178.53.696.2
4.40E+0115.4251.64.5144.2
4.60E+0120.4293.96.0172.9
"+/+""+/-""-/+""-/-"
0.23.29E+023.45E+023.13E+023.34E+02
0.32.06E+02218.7461.93E+022.09E+02
0.41.37E+02147.5761.26E+021.40E+02
0.59.48E+01103.8198.60E+019.71E+01
0.66.75E+0175.1696.00E+016.93E+01
0.74.90E+0155.5164.25E+015.04E+01
0.83.60E+0141.5493.04E+013.71E+01
0.92.66E+0131.3512.17E+012.74E+01
11.97E+0123.7471.55E+012.02E+01
1.11.46E+0117.9891.09E+011.49E+01
1.21.07E+0113.5797.54E+001.09E+01
1.37.78E+001.02E+015.08E+007.81E+00
1.45.57E+007.54E+003.30E+005.49E+00
1.53.90E+005.50E+002.02E+003.74E+00
1.62.65E+003.92E+001.13E+002.44E+00
1.71.73E+002.71E+005.51E-011.49E+00
1.81.07E+001.80E+002.01E-018.17E-01
1.96.02E-011.12E+003.20E-023.72E-01
22.96E-016.39E-014.69E-031.13E-01
2.11.12E-013.12E-018.82E-025.88E-03
2.22.19E-021.14E-012.60E-012.90E-02
2.32.32E-041.84E-025.06E-011.68E-01
2.42.23E-021.71E-038.28E-014.23E-01
2.55.46E-023.02E-021.27E+008.38E-01
2.61.95E-021.78E-022.23E+001.78E+00
2.6601.05E+009.87E-017.84E+007.17E+00
2.6652.45E+002.35E+001.12E+011.05E+01
2.6707.03E+006.84E+001.98E+011.88E+01
2.6753.48E+013.43E+015.92E+015.75E+01
2.6765.63E+015.57E+018.65E+018.44E+01
2.6771.03E+021.02E+021.43E+021.40E+02
2.6782.35E+022.34E+022.92E+022.89E+02
2.6798.82E+028.80E+029.84E+029.78E+02
2.6801.14E+041.14E+041.14E+041.14E+04
2.6811.13E+031.14E+031.01E+031.02E+03
2.6823.02E+023.03E+022.41E+022.44E+02
2.6831.39E+021.40E+029.87E+011.01E+02
2.6848.09E+018.17E+015.10E+015.25E+01
2.6855.36E+015.42E+012.99E+013.11E+01
2.6901.59E+011.63E+014.51E+004.96E+00
2.6958.29E+008.59E+001.02E+001.23E+00
2.75.43E+005.69E+002.04E-013.01E-01
2.81.11E+001.39E+001.07E+001.01E+00
2.91.04E+001.50E+001.56E+001.69E+00
31.10E+001.80E+001.88E+002.28E+00
3.11.18E+002.19E+002.11E+002.88E+00
3.21.23E+002.64E+002.27E+003.50E+00
3.31.26E+003.16E+002.35E+004.16E+00
3.41.23E+003.74E+002.35E+004.89E+00
3.51.15E+004.42E+002.25E+005.69E+00
3.61.00E+005.23E+002.05E+006.62E+00
3.77.76E-016.24E+001.72E+007.76E+00
3.84.80E-017.59E+001.25E+009.26E+00
3.91.57E-019.58E+006.68E-011.14E+01
49.51E-031.30E+019.84E-021.51E+01
4.11.05E+002.01E+013.98E-012.26E+01
4.21.09E+014.30E+018.62E+004.63E+01
-/+
+/+
-/-
+/-
"-/-"
"-/+"
"+/-"
"+/+"
c2
4.5827.1511.720.794.574.5710.8610.864.14.116.8516.85
8.198.857.328.322.932.933.483.482212.3212.32
8.246.583.820.461.371.372.572.571.41.47.557.55
2.223.5317.190.190.191.831.830.90.93.623.62
5.722.37.982.152.152.22.23.643.64
1.22.64.380.60.61.71.72.522.52
6.362.83.191.591.590.60.61.751.75
3.191.182.131.591.590.210.211.971.97
2.321.720.831.061.060.170.170.820.82
1.620.990.650.650.980.98
3.061.93.053.051.891.89
11.71.55.325.321.491.49
6.073.332.762.763.213.21
3.890.881.31.30.870.87
2.121.331.411.411.291.29
2.122.571.411.410.840.84
1.173.190.590.590.870.87
7.783.363.893.890.60.6
7.262.942.292.290.430.43
1.592.891.061.060.630.63
6.363.071.71.70.850.85
0.22.530.150.150.490.49
0.360.980.350.350.970.97
1.011.880.360.361.871.87
0.730.720.72
+/-
+/-
-/+
-/+
+/+
+/+
-/-
-/-
dyba
redder
ouellet
roters
"+/+"
"+/-"
"-/+"
"-/-"
Ec.m. (MeV)
E2 S-factor (keV b)
Ecm (MeV)toutpole1poles 1-2poles123poles14
0.2345.2100985944595.0297845765595.8015729184568.0730564565357.8969124632345.2100985944595.0297845765595.8015729184568.0730564565357.8969124632
0.3218.7458393362400.5521320608401.2509097419378.4038316253228.6886122449218.7458393362400.5521320608401.2509097419378.4038316253228.6886122449
0.4147.5757529261288.0862979422288.7293293496269.1565528566155.7296701204147.5757529261288.0862979422288.7293293496269.1565528566155.7296701204
0.5103.8192875301216.9102445214217.5100603759200.301149499110.7083335594103.8192875301216.9102445214217.5100603759200.301149499110.7083335594
0.675.1694462059168.8293446451169.3950583291153.98758255781.109359243475.1694462059168.8293446451169.3950583291153.98758255781.1093592434
0.755.516141969134.7020704885135.2404397677121.265093965360.710526153755.516141969134.7020704885135.2404397677121.265093965360.7105261537
0.841.5493641875109.5174016592110.033548970997.236974530146.136387729141.5493641875109.5174016592110.033548970997.236974530146.1363877291
0.931.350840382490.337749124490.83564125179.038427650235.42807040831.350840382490.337749124490.83564125179.038427650235.428070408
123.747391657675.347655576675.830433674964.90248283427.385981521923.747391657675.347655576675.830433674964.90248283427.3859815219
1.117.989165841463.377221492763.847444450153.69246171921.24244340517.989165841463.377221492763.847444450153.69246171921.242443405
1.213.578753123153.647007010354.106849096844.651901062216.487664345913.578753123153.647007010354.106849096844.651901062216.4876643459
1.310.175443112245.623421223146.074850004537.262927135112.772121027410.175443112245.623421223146.074850004537.262927135112.7721210274
1.47.539164936938.932465088739.377416244631.16195316289.84931987017.539164936938.932465088739.377416244631.16195316289.8493198701
1.55.496451928533.305964432433.746525920126.08735107717.54098792535.496451928533.305964432433.746525920126.08735107717.5409879253
1.63.919147390528.546876321828.985495673921.84592744275.71525709413.919147390528.546876321828.985495673921.84592744275.7152570941
1.72.710730817924.506406755924.946143842818.29104007884.27263804242.710730817924.506406755924.946143842818.29104007884.2726380424
1.81.7973191721.068802362321.51366966415.30824702333.13679212771.7973191721.068802362321.51366966415.30824702333.1367921277
1.91.121587118318.141295225518.596768402512.80598424652.2483209921.121587118318.141295225518.596768402512.80598424652.248320992
20.638523681515.647545229616.121414297810.70967060221.56048606650.638523681515.647545229616.121414297810.70967060221.5604860665
2.10.312324354813.523426323414.02736439078.95823942531.03618115560.312324354813.523426323414.02736439078.95823942531.0361811556
2.20.113899952311.714334010912.26711313777.50268016330.64573204690.113899952311.714334010912.26711313777.50268016330.6457320469
2.30.018431167310.173436136110.80845311856.30723673830.36525300980.110.173436136110.80845311856.30723673830.3652530098
2.40.00170999268.86047870159.64704891695.35759492670.17538796520.18.86047870159.64704891695.35759492670.1753879652
2.50.03020236997.74090237538.86680751434.70235867790.06032594650.17.74090237538.86680751434.70235867790.1
2.60.01782501036.78512809299.19456208164.84762307140.00701967710.16.78512809299.19456208164.84762307140.1
2.660.98651117216.279633430417.533606301711.16803245510.00006762290.98651117216.279633430417.533606301711.16803245510.1
2.6652.34771971436.239604638522.438131093715.13200401620.00024726842.34771971436.239604638522.438131093715.13200401620.1
2.676.84453600486.199885788634.155202951124.95674349850.00053829126.84453600486.199885788634.155202951124.95674349850.1
2.67534.32747610016.160474288184.27768968369.37021799590.000939569434.32747610016.160474288184.27768968369.37021799590.1
2.67655.73987656596.1526286433117.664414240999.89311734740.001032957555.73987656596.1526286433117.664414240999.89311734740.1
2.677102.34863614066.1447951691185.4382095068162.88507543950.0011307025102.34863614066.1447951691185.4382095068162.88507543950.1
2.678234.05535793046.1369738451365.0130055526332.87879911360.0012327953234.05535793046.1369738451365.0130055526332.87879911360.1
2.679879.81641388396.12916465081209.45468076011148.84894099980.0013392272879.81641388396.12916465081209.45468076011148.84894099980.1
2.6811439.36415605756.12136756611443.226274862311442.97395155560.001449989411439.36415605756.12136756611443.226274862311442.97395155560.1
