Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula

作者：Chen, Lie Wen^*

来源：Physical Review C, 2011, 83(4): 044308.

DOI：10.1103/PhysRevC.83.044308

Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number A, both the symmetry energy coefficient a(sym)(A) in the semiempirical mass formula and the nuclear matter symmetry energy E-sym(rho(A)) at a subsaturation reference density rho(A) can be determined essentially by the symmetry energy E-sym(rho(0)) and its density slope L at saturation density rho(0). Meanwhile, we find the dependence of a(sym)(A) on E-sym(rho(0)) or L is approximately linear and very similar to the corresponding linear dependence displayed by E-sym(rho(A)), providing an explanation for the relation Esym(rho(A)) approximate to a(sym)(A). Our results indicate that a value of E-sym(rho(A)) leads to a linear correlation between E-sym(rho(0)) and L and thus can put important constraints on E-sym(rho(0)) and L. Particularly, the values of E-sym(rho(0)) = 30.5 /- 3 MeV and L = 52.5 /- 20 MeV are simultaneously obtained by combining the constraints from recently extracted E-sym(rho(A) = 0.1 fm(-3)) with those from recent analyses of neutron skin thickness of Sn isotopes in the same SHF approach.

• 出版日期2011-4-12
• 单位上海交通大学