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.

Comments: 10 pages, 5 figures