Article

A phenomenological equation of state for isospin asymmetric nuclear matter

Shanghai Jiao Tong University Department of Physics Shanghai 200240 China; National Laboratory of Heavy Ion Accelerator Center of Theoretical Nuclear Physics Lanzhou 730000 China
Science in China Series G Physics Mechanics and Astronomy (impact factor: 1.41). 04/2012; 52(10):1494-1505. DOI:10.1007/s11433-009-0200-4 pp.1494-1505

ABSTRACT A phenomenological momentum-independent (MID) model is constructed to describe the equation of state (EOS) for isospin asymmetric
nuclear matter, especially the density dependence of the nuclear symmetry energy E
sym(ρ). This model can reasonably describe the general properties of the EOS for symmetric nuclear matter and the symmetry energy
predicted by both the sophisticated isospin and momentum dependent MDI model and the Skyrme-Hartree-Fock approach. We find
that there exists a nicely linear correlation between K
sym and L as well as between J
0/K
0 and K
0, where L and K
sym represent, respectively, the slope and curvature parameters of the symmetry energy at the normal nuclear density ρ
0, while K
0 and J
0 are, respectively, the incompressibility and the third-order derivative parameter of symmetric nuclear matter at ρ
0. These correlations together with the empirical constraints on K
0, L and E
sym(ρ
0) lead to an estimation of −477 MeV ≤ K
sat,2 ≤ −241 MeV for the second-order isospin asymmetry expansion coefficient for the incompressibility of asymmetric nuclear matter
at the saturation point.

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Keywords

asymmetric nuclear matter
 
curvature parameters
 
density dependence
 
estimation
 
general properties
 
momentum dependent MDI model
 
normal nuclear density ρ
 
nuclear symmetry energy E
 
phenomenological momentum-independent
 
second-order isospin asymmetry expansion coefficient
 
Skyrme-Hartree-Fock approach
 
sym
 
sym(ρ
 
symmetric nuclear matter
 
symmetry energy
 
third-order derivative parameter
 

LieWen Chen