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

TL;DR

This study uses a finite range effective interaction to relate neutron skin thickness in calcium-48 to nuclear symmetry energy parameters, constraining their values at saturation and subsaturation densities based on experimental data.

Contribution

It provides new constraints on the density slope and curvature parameters of nuclear symmetry energy using neutron skin data in $^{48}$Ca.

Findings

Constraints on $L( ho_0)$: 54.5-97.5 MeV

Constraints on $K_{sym}( ho_0)$: -170.7 to -43.4 MeV

Linear relation between neutron skin thickness in $^{48}$Ca and $^{208}$Pb

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 $54.5\leq L(\rho_0) \leq 97.5$ MeV and $47.3\leq L(\rho_c) \leq 57.1$ MeV for the density slope parameter. The constraints on the curvature symmetry energy parameter are obtained as $-170.7\leq K_{sym}(\rho_0) \leq -43.4$ MeV and $-80.8\leq K_{sym}(\rho_c) \leq 23.8$ MeV. A linear relation between the neutron skin thickness in $^{48}$Ca and in $^{2088}$Pb is obtained.