Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula
Abstract
Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number A, both the symmetry energy coefficient asym(A) in the semiempirical mass formula and the nuclear matter symmetry energy Esym(ρA) at a subsaturation reference density ρA can be determined essentially by the symmetry energy Esym(ρ0) and its density slope L at saturation density ρ0. Meanwhile, we find the dependence of asym(A) on Esym(ρ0) or L is approximately linear and very similar to the corresponding linear dependence displayed by Esym(ρA), providing an explanation for the relation Esym(ρA)≈asym(A). Our results indicate that a value of Esym(ρA) leads to a linear correlation between Esym(ρ0) and L and thus can put important constraints on Esym(ρ0) and L. Particularly, the values of Esym(ρ0)=30.5±3 MeV and L= 52.5±20 MeV are simultaneously obtained by combining the constraints from recently extracted Esym(ρA=0.1 fm-3) with those from recent analyses of neutron skin thickness of Sn isotopes in the same SHF approach.
- Publication:
-
Physical Review C
- Pub Date:
- April 2011
- DOI:
- 10.1103/PhysRevC.83.044308
- arXiv:
- arXiv:1101.5217
- Bibcode:
- 2011PhRvC..83d4308C
- Keywords:
-
- 21.65.Ef;
- 21.30.Fe;
- 21.10.Gv;
- 21.60.Jz;
- Symmetry energy;
- Forces in hadronic systems and effective interactions;
- Mass and neutron distributions;
- Hartree-Fock and random-phase approximations;
- Nuclear Theory;
- Astrophysics - Solar and Stellar Astrophysics;
- Nuclear Experiment
- E-Print:
- 6 pages, 2 figures. Minor Modifications. Accepted version to appear in PRC