plane PROBABILITY DISTRIBUTION
description
Transcript of plane PROBABILITY DISTRIBUTION
plane P
RO
BA
BIL
ITY
DIS
TR
IBU
TIO
N
Tra n sv e rs al v e lo ci ty (v
x ) re d uc t io n wit h in c re as in g b
124Sn
+ 64N
i (35A
MeV
)b- im
pact param
eter
Th. (No Filter included)
Filtered
-180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180
1.0
1.1
1.2
1.3
1.4
1.5
exp
theo
AH/AL= 4.6-10E2F
=2700-3100
124Sn +
64Ni 35 MeV/nucl.
<V
_R
>
plane
Preliminary
-180 -150 -120 -90 -60 -30 0 30 60 90 120 150 1800.9
1.0
1.1
1.2
1.3
1.4
1.5-180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180
0.9
1.0
1.1
1.2
1.3
1.4
1.5-180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180
0.9
1.0
1.1
1.2
1.3
1.4
1.5
E2F
=3500-3900
<V
_R
>
plane
E2F
=3100-3500
<V
_R
>1/25/03 14:03:40
AH/AL
124Sn + 64Ni 35 MeV/nucl.
E2F
=2700-3100
<
V_
R>
2.6-4.6 1.6-2.6 1.0-1.6
E.Piasecki et al. IWM(2001) November 28, Catania(I) (preliminary)
r DE
PE
ND
EN
CE
OF
IMF
ISO
SP
IN C
OM
PO
SIT
ION
: EO
S IN
FL
UE
NC
E
asystiffasysoft
124Sn
+64N
i35A
MeV
124Sn
64Ni
ISOSCALING and SYMMETRY ENERGY
Isoscaling result: lnR21=Ct+N+Z
Tn
T
p
2)(2)(
2
1
2
212
2
1
2
2
IIIIEII
Esym
sym
n
2)(2)(
2
1
2
212
2
1
2
2
IIIIEII
Esym
sym
p
Interpretation:
Consequences:
0
symE np
2
2
22
1
1 )()(4A
Z
A
ZEsymn
0
symE
1.)
2.)np )/( 0symsym CE for
np for )/( 0symsym CE
3.) ))((4
/
/ln 12
11
22 IIETZN
ZNsym
always
Derivation of )( sourcesymE ?Yes, if 12 , II measured
From Mirror Isobar Yield Ratios!
;
)exp()(),(
),(1,22,1 T
B
Z
N
NZY
ZNY
Observations: - too large N/Z for both n-rich and n-poor systems
- too small value for )( sourcesymE Problems: Evaporation corrections, Equilibrium scenario
Heavier IMF’s – liquid phase ?
1
NECK ISOSCALING
N = 0.95
Z=1
Z=3
Z=2
Z=5 Z=7Z=6
Z=8
Z=4
Z=9lnR
21
NiSn
NiSn58112
64124
at 35 MeV/n (b=6,7,8fm) = 0.69
asystiff
asysoft
Z
ln R
21NECK ISOSCALING
= -1.07
N=2
N=3
N=8N=7N=6N=5
N=4
NiSn
NiSn58112
64124
at 35 MeV/n (b=6,7,8fm)
= -0.68
asystiff
asysoft
“GRAND CANONICAL” NECK?
MeVII
ET sym 324
12
Dynamical Isoscaling
Z=1
Z=7
primary
final
yieldionlightSn
Sn112
124
A
ZNR
AfZNY
12221
2
2
2ln
)(exp)(),(
not very sensitive to Esym ?
124Sn Carbon isotopes (primary)
A
Asy-softAsy-stiff
M.J. van Goethem, G. Verde,M. ColonnaMSU data (2001-02)
nucl-ex/0210004
50 AMeV
(central coll.)
1. Competition of dissipative reaction mechanisms
2. N/Z of fast particle emission
3. (n,p) correlation functions
4. Isospin fractionation (isoscaling) *
5. Fragment multiplicities *
6. Isospin content of neck fragments *
7. Fast fission multiplicities
8. Isospin diffusion (charge equilibration)
9. n – p collective flows light isobar flows*
10. -/+ yields*
11. Deconfinement precursors
n-radii, n-star cooling, hybrid stars
ISOSPIN IN REACTIONS: ISOSPIN IN REACTIONS: EOS – SENSITIVE OBSERVABLESEOS – SENSITIVE OBSERVABLES
* Asy-stiff indications but low asymmetries so far