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

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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.