Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction

Abstract

We use a finite range simple effective interaction to construct nuclear equations of state for the study of the density dependence of the nuclear symmetry energy. The EoSs provide good descriptions of the nuclear symmetry energy at a subsaturation density ${\rho }_c=0.11$ fm${}^{-3}$ and at a density around two times the saturation density ${\rho }_0$. We obtain a correlation between the neutron skin thickness in ${}^{208}$Pb and the density slope parameter at the subsaturation density. A linear relation is obtained between the neutron skin thickness and the parameter ${\beta }^{\prime }=\frac{L({\rho }_c)}{3E_s({\rho }_0)}$, where $E_s({\rho }_0)$ and $L({\rho }_c)$ are respectively the nuclear symmetry energy at saturation density and the density slope parameter at the subsaturation density.

arXiv comment17 pages, 17figures, accepted version of Physica Scripta

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• Bayesian uncertainty quantification for nuclear matter incompressibility
• Constraining isovector nuclear interactions with giant dipole resonance and neutron skin in ${}^{208}$Pb from a Bayesian approach
• Bayesian inference of finite-nuclei observables based on the KIDS model
• Evolution of nuclear charge radii in copper and indium isotopes
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