+ Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria ++ Joint Institute for Nuclear...
-
Upload
lenard-stephens -
Category
Documents
-
view
217 -
download
0
Transcript of + Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria ++ Joint Institute for Nuclear...
+ Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria
++Joint Institute for Nuclear Research, Dubna, Russia
ON E0 TRANSITIONS BETWEEN 0+ STATES IN
THE SAME NUCLEUS
V. P. Garistov+O.K. Egorov
A.A. Solnyshkin++
The experimental information on a large sequences of states with J = 0+
In a given nucleus is quite a lot. The theoretical approaches that are able to explain and correctly describe all the
data in this respect are seemingly in debt to the experiment
20 02
monH R R R R
1( 1)
2 m
jmR j-mj-m j-m
j-m jmm
1R (-1)
2
+1
4 +
0 jm jm j-m j-mR -m
( )
2j 1
2
,...m j j
0 ± ± + - 0[R ,R ] = ±R [R ,R ] = 2R
+ + +- +R = 2Ω - b bb R = b 2Ω - b b
+0R = b b - Ω
+[b,b ] 1 + +[b,b] = [b ,b ] = 0
2 2R b bb R b b b
0R b b
Holstein Primakoff transformation
+ + +monH = b b + bB bbA b + C
2E(n) = n + BnA + C
20 02
monH R R R R
0
4
n
E
[ M
eV ]
E=an+bn2
0 2 4 6 8 10 12 14 16 18 20
0,0
0,5
1,0
1,5
2,0
2,5
3,0
3,5
En
erg
y [M
eV]
Number of Monopole Bosons ( n )
S. R. Lesher, A. Aprahamian et al. (to be published)
V. P. Garistov rearrangement E0(n)=an-bn2
a=0.611, b=0.029913 Estimated Variance -> 0.00524058 Previous data
158Gd
0 2 4 6 8 10 12
0,0
0,5
1,0
1,5
2,0
2,5
Me
V
n
a=0.77795b=-0.06757
158Dy
0+
-2 0 2 4 6 8 10 12 14 16
0,0
0,5
1,0
1,5
2,0
2,5
a=0.58218b=-0.03338
Me
V
n
168Er0+
0+
mishmash
0 5 10 15 20 250,0
0,5
1,0
1,5
2,0
2,5
3,0
3,5
4,0
0 2 4 6 8 10 12 14 160,0
0,5
1,0
1,5
2,0
2,5
1 2 3 4 5 6 7 8 9 10 11 12
0,5
1,0
1,5
2,0
2,5
0 2 4 6 8 10 12 14 160,0
0,5
1,0
1,5
2,0
2,5
MeV
n
a=0.80244b=-0.03282c=-1.30713
162Er
2+
n
2+
168Yb
a=0.55638b=-0.03817c=0.38816
MeV
n
168Er
6+
a=1.32377b=-0.09788c=-2.15658
n
a=0.5235b=-0.03604c=0.49834
168Yb
4+
ОБНАРУЖЕНИЕ ВОЗБУЖДЕННОГО 0+-СОСТОЯНИЯ В ЯДРЕ 160DY С ЭНЕРГИЕЙ 681.3 КЭВ
И.Адам, Д.Д.Богаченко, В.П.Гаристов, О.К.Егоров, Т.А.Исламов, В.В.Колесников, В.И.Силаев,
А.А.Солнышкин,
0 2 4 6 8 10
-0.5
0
0.5
1
1.5
2
ЭН
ЕР
ГИ
Я С
ОС
ТО
ЯН
ИЯ
, М
эВ
ЧИСЛО БОЗОНОВ
0+-СОСТОЯНИЯ
160Dy
Модель взаимодействующих бозонов
FR Er. П-2. 24.03.72. СП-3. tэ=24 часа. Объектив 8*. h=20 мкм. 1 проход. H=581 Гс.
700 000
900 000
1 100 000
1 300 000
1 500 000
1 700 000
1 900 000
2 100 000
2 300 000
2 500 000
2 700 000
2 900 000
3 100 000
3 300 000
3 500 000
13000 18000 23000 28000 33000 38000 43000 48000 53000 58000 63000 68000 73000 78000
Y, мкм
N
578 628 678 728 778 828 878 928 978 1028 1078
Рис. I-2I
FR Er. П-2. 24.03.72. СП-3. tэ=24 часа. Об. 8*. h=10 мкм. DY=20 мкм. 8 проходов. H=581 Гс. Wрасч = 80 мкм.
-40 000
-20 000
0
20 000
40 000
60 000
80 000
100 000
120 000
140 000
160 000
180 000
18300 18400 18500 18600 18700 18800 18900 19000 19100 19200 19300 19400 19500 19600 19700 19800 19900 20000
Ee, кэВ - Y, мкм
N
617,6 618,6 619,6 620,6 621,6 622,6 623,6 624,6 625,6 626,6 627,6 628,6 629,6
Рис. I-2I
Григорьев: ΣI=0.031 ΣI=0.14
K672.35I=0.020
K673.09I=0.025
K681.3I=0.046
K682.3I=0.094
1952.3 (n=4)
1708.2 (n=3)
1456.7 (n=8)
1280.0 (n=2)
681.3 (n=1)
86.8 0.0 (n=0)
0+6
0+5
0+4
0+3
0+2
2+1
0+1
160Dy
0.015
0.033
<0.005
0.053
0.020
<0.005
<0.005
0.039 0.0024
<0.005
0.046
1952
.3
1708
.2
1456
.7
1280
.0
681.
3
1271
.0
1026
.9
775.
4
598.
767
2.3
428.
2
176.
7
495.
6
251.
5
244.
1
594.5Iγ < 0.3
2+ 2503.8
1822.5 {1822.4(3)}Iγ=0.24 Изв. РАН,2002
X > 0.66
0.024
FR Er. П-2. 24.03.72. СП-3. tэ=24 часа. Об. 8*. h=10 мкм. DY=20 мкм. 8 прох. (-4 ÷ -1; +3 ÷ +6). H=581 Гс. w=95 мкм.
-20 000
-10 000
0
10 000
20 000
30 000
40 000
50 000
60 000
70 000
80 000
94000 94100 94200 94300 94400 94500 94600 94700 94800 94900 95000
Ee, кэВ - Y, мкм
N
1215,1 1216,1 1217,1 1218,1 1219,1 1220,1 1221,1 1222,1 1223,1
Рис. I-2I
K1271.89I=0,096
K1271.0I=0,024
K1274.25+K1276.0
ΣI=0.12
Усредненный спектр по 2 ф/п FR Er П-2 и FR Er П-8. Об. 8*. h=10 мкм. DY=20 мкм. w=95 мкм.
-10 000
0
10 000
20 000
30 000
40 000
50 000
60 000
62200 62400 62600 62800 63000 63200 63400 63600 63800 64000 64200 64400 64600 64800 65000 65200
Ee, кэВ Y, мкм
N
957,6 959,6 961,6 963,6 965,6 967,6 969,6 971,6 973,6 975,6 977,6 979,6
Рис. I-2I+II*
1
(M1-M5)-966,18 160Dy
4
K-1026,90 160Dy2
K-1022,62 160Dy
3K-?
5K-?
I=0.53
I=1.40
I<0.3
593.5
595.3
594.5
X( (E0/E2) = 0.628235
N[17/An^(2/3)
X(X0/E2) = 0.576814
An=160;r0=1.02*An^(1/3);be2=5.94*0.01*An^(4/3);ro=0.7/An^(1/3);ea=1.44;ea^2*r0^4*ro^2/be2
Митропольский И.А. (теор.)препринт ЛИЯФ, 1095, 1985 г. наша оценка (эксп.)
X(X0/E2) > 0.66
NEW 0+- EXCITED STATE WITH THE ENERGY OF 681.3 KEV IN 160DY NUCLEUS J.Adam1, D.Bogachenko2, V.P.Garistov3, O.K.Egorov2, T.A.Islamov1, V.V.Kolesnikov2, V.I.Silaev2, A.A.Solnyshkin1
1)Joint Institute for Nuclear Research, Dubna, Russia2)Institute Theoretical and Experimental Physics, Moscow, Russia
3)Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria
The theoretical calculations [1] predict existence of a 0+ state with energy ~700 keV in 160Dy nucleus. For finding-out of existence of this 0+ state we measure β-spectrograms of [2] DLNP JINR for fractions Er (two photographic plates) and Ho (one photographic plate) using universal installation МАС-1 in ITEP [3]. At the analysis it was found out, that on all three photographic plates to the left of known line EIK with energy 682.3 keV below by energy on 1 keV, the peak comparable by intensity with the specified line is confidently observed. Our attempts to carry the mentioned peak to a conversion line or to any of known from the literature [4] γ-transitions in 160Dy nucleus have not crowned with success. Then we proposed, that this peak is probably caused by new transition with energy 681.3 keV, unloading the corresponding new raised state with energy 681.3 keV to the ground state. Except for the specified state, from experiment four more states with excitation energies 1280.0, 1456.7, 1708.2 and 1952.3 keV are known. Considering, that from these levels transitions to the entered by us 681.3 keV level are possible, we have undertaken searches of such transitions. As a result one of such transitions with energy 1271.0 keV, between states 1952.3 and 681.3 keV, has been found out. In spite of that this fact already is powerful enough argument in favour of existence of a state 681.3 keV in a nucleus 160Dy, searches of other transitions now proceed.1. A.A.Solnyshkin, e.a. // Phys. Rev. C. 2005. V.72. P. 064321-1.2. Abdurazakov A.A. e.a. “Beta-spectrographs with constant magnets”, Tashkent, Uzbekistan, 1972.3. Egorov O.K. e.a. JTF. 2003. V. 48, № 3.4. I.Adam e.a.// Izv. RAN, ser. Fiz. 2002. V.66. P.1384 and C.W. Reich // Nuclear Data Sheets 105, 557 (2005).
СПАСИБО ЗА ВНИМАНИЕ!