Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-01-27
Phys.Rev.C83:044308,2011
Physics
Nuclear Physics
Nuclear Theory
6 pages, 2 figures. Minor Modifications. Accepted version to appear in PRC
Scientific paper
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 semi-empirical 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 is very similar to the corresponding linear dependence displayed by E_{sym}(\rho_A), providing an explanation for the relation E_{sym}(\rho_A) \approx 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.
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