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HIC: probing different B regions
Isospin Dynamics at the Fermi energies: Transport properties of the symmetry term HIC: probing different B regions Mean field Effective masses N/Z fast particles n,p correlation functions collective flows Chemical potentials Isospin diffusion 1 neutron symmetric Sly4 a4 Isospin distillation Isoscaling Charge equilibration 1 Neck fragmentation M. Di Toro, V. Baran and M. Colonna; HIC 03
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Symmetry Energy Asy-stiff Esym (rB) (MeV) Asy-soft rB/r0
1 2 3 rB/r0 Expansion around r0 Pressure & compressibility
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Mean Field & Chemical Potentials
symmetry part of the mean field neutron 124Sn“asymmetry” a = 0.2 proton neutron-proton chemical potentials neutron proton bulk neck spinodal interface
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p n n p p n p n (fm-3) SkLa EFFECTIVE MASS PROBLEM SGII (fm-3) SkLb
(124Sn asym.) p n n p (fm-3) SkLa SGII EFFECTIVE MASS PROBLEM p n p n (fm-3) SkLb SKM*
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Effective Mass Splitting
RMF-(r+d) RMF-r 3 f Φ M S - = * r d RMF-r ) , ( n p + - Splitting sign RMFT, DHF( V. Greco et al., PRC63, PRC64 (2001)) Agree DBHF (F. Hofmann et al., PRC64 (2001) ) SLy (E. Chabanat et al., NPA 627 (1997)) Disagree BHF (W.Zuo, PRC60 (1999) 24605) “Old” Skyrme Spin-orbit splitting Collective flow
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ISOSPIN DISTILLATION: Instability Region
chemical attractive int. F np < In Symmetric NM X<0 A UNIQUE SPINODAL INSTABILITY! Y>0 a=0.5 X= 1+Fs, Y=1+Fa X<0 V. Baran et al. PRL 86 (2001) chem. mech.
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