Isospin Dynamics at the Fermi energies Transport properties

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Isospin Dynamics at the Fermi energies: Transport properties of the symmetry term HIC: probing

Isospin Dynamics at the Fermi energies: Transport properties of the symmetry term HIC: probing different B regions v Mean field v N/Z fast particles v Effective masses v n, p correlation functions v collective flows v Chemical potentials v Isospin diffusion 1 neutron symmetric Sly 4 Isospin distillation v Isoscaling v Charge equilibration v 1 v Neck fragmentation a 4 M. Di Toro, V. Baran and M. Colonna; HIC 03

Symmetry Energy f Esym ( B) (Me. V) y s A f i t

Symmetry Energy f Esym ( B) (Me. V) y s A f i t -s Asy 0 1 B/ 0 -sof t 2 Expansion around 0 Pressure & compressibility 3

Mean Field & Chemical Potentials symmetry part of the mean field neutron 124 Sn“asymmetry”

Mean Field & Chemical Potentials symmetry part of the mean field neutron 124 Sn“asymmetry” a = 0. 2 proton neutron-proton chemical potentials neutron bulk proton neck spinodal interface

I=0. 192 (124 Sn asym. ) n p SGII Sk. La n p SKM*

I=0. 192 (124 Sn asym. ) n p SGII Sk. La n p SKM* Sk. Lb (fm-3) n p EFFECTIVE MASS PROBLEM p n (fm-3)

Effective Mass Splitting RMF-( +d) RMF-r RM * M = M - Φ ±

Effective Mass Splitting RMF-( +d) RMF-r RM * M = M - Φ ± fd r S 3 F- ( - º p , + º n) Splitting sign Agree Disagree RMFT, DHF( V. Greco et al. , PRC 63, PRC 64 (2001)) DBHF (F. Hofmann et al. , PRC 64 (2001) ) SLy (E. Chabanat et al. , NPA 627 (1997)) BHF (W. Zuo, PRC 60 (1999) 24605) “Old” Skyrme • Spin-orbit splitting • Collective flow

ISOSPIN DISTILLATION: Instability Region a=0. 5 a=0. 8 ica em ch l F 0

ISOSPIN DISTILLATION: Instability Region a=0. 5 a=0. 8 ica em ch l F 0 np < 0 In Symmetric NM attractive int. X= 1+Fs, Y=1+Fa X<0 Y>0 a=0. 5 X<0 mech. chem. A UNIQUE SPINODAL INSTABILITY! V. Baran et al. PRL 86 (2001)