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- W1969653208 abstract "Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number $A$, both the symmetry energy coefficient ${a}_{mathrm{sym}}(A)$ in the semiempirical mass formula and the nuclear matter symmetry energy ${E}_{mathrm{sym}}({ensuremath{rho}}_{A})$ at a subsaturation reference density ${ensuremath{rho}}_{A}$ can be determined essentially by the symmetry energy ${E}_{mathrm{sym}}({ensuremath{rho}}_{0})$ and its density slope $L$ at saturation density ${ensuremath{rho}}_{0}$. Meanwhile, we find the dependence of ${a}_{mathrm{sym}}(A)$ on ${E}_{mathrm{sym}}({ensuremath{rho}}_{0})$ or $L$ is approximately linear and very similar to the corresponding linear dependence displayed by ${E}_{mathrm{sym}}({ensuremath{rho}}_{A})$, providing an explanation for the relation ${E}_{mathrm{sym}}({ensuremath{rho}}_{A})ensuremath{approx}{a}_{mathrm{sym}}(A)$.Our results indicate that a value of ${E}_{mathrm{sym}}({ensuremath{rho}}_{A})$ leads to a linear correlation between ${E}_{mathrm{sym}}({ensuremath{rho}}_{0})$ and $L$ and thus can put important constraints on ${E}_{mathrm{sym}}({ensuremath{rho}}_{0})$ and $L$. Particularly, the values of ${E}_{mathrm{sym}}({ensuremath{rho}}_{0})=30.5ifmmodepmelsetextpmfi{}3$ MeV and $L=$ $52.5ifmmodepmelsetextpmfi{}20$ MeV are simultaneously obtained by combining the constraints from recently extracted ${E}_{mathrm{sym}}({ensuremath{rho}}_{A}=0.1$ fm${}^{ensuremath{-}3})$ with those from recent analyses of neutron skin thickness of Sn isotopes in the same SHF approach." @default.
- W1969653208 created "2016-06-24" @default.
- W1969653208 creator A5067364245 @default.
- W1969653208 date "2011-04-12" @default.
- W1969653208 modified "2023-09-27" @default.
- W1969653208 title "Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula" @default.
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- W1969653208 doi "https://doi.org/10.1103/physrevc.83.044308" @default.
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