Constraining Nuclear Symmetry Energy parameters from Neutron skin thickness of ${}^{48}$Ca

Abstract

In the present work, we use a finite range effective interaction to calculate the neutron skin thickness in ${}^{48}$Ca and correlate these quantities with the parameters of nuclear symmetry energy. Available experimental data on the neutron skin thickness in ${}^{48}$Ca are used to deduce information on the density slope parameter and the curvature symmetry parameter of the nuclear symmetry energy at saturation and at subsaturation densities. We obtained the constraints such as $54.5\le L({\rho }_0)\le 97.5$ MeV and $47.3\le L({\rho }_c)\le 57.1$ MeV for the density slope parameter. The constraints on the curvature symmetry energy parameter are obtained as $-170.7\le K_{sym}({\rho }_0)\le -43.4$ MeV and $-80.8\le K_{sym}({\rho }_c)\le 23.8$ MeV. A linear relation between the neutron skin thickness in ${}^{48}$Ca and in ${}^{2088}$Pb is obtained.

arXiv comment10 pages, 5 figures

References in corpus (5)

• Charge, neutron, and weak size of the atomic nucleus
• How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
• Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in ${}^{116,118,120,122,124,130,132}$Sn, ${}^{208}$Pb, and ${}^{48}$Ca
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Neutron skin of ${}^{48}$Ca consistent with experimental data on skins