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

neutron. symmetric. Sly4. a 4. 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.

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

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  1. neutron symmetric Sly4 a4 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 • Isospin distillation • Isoscaling • Charge equilibration 1 • Neck fragmentation M. Di Toro, V. Baran and M. Colonna; HIC 03

  2. Symmetry Energy Asy-stiff Esym(rB) (MeV) Asy-soft 0 1 2 3 rB/r0 Expansion around r0 Pressure & compressibility

  3. 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

  4. I=0.192 (124Sn asym.) p n n p (fm-3) SkLa SGII EFFECTIVE MASS PROBLEM p n p n (fm-3) SkLb SKM*

  5. * = - ± r M M Φ f d S 3 - º + º ( p , n ) • Spin-orbit splitting • Collective flow Effective Mass Splitting RMF-(r+d) RMF-r RMF-r 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

  6. X<0 attractive int. np < F 0 0 ISOSPIN DISTILLATION: Instability Region a=0 a=0.5 a=0.8 chemical In Symmetric NM 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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