Nuclear symmetry energy and neutron skin thickness of 208Pb using a finite range effective interaction

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 Pb-208 and the density slope parameter at the subsaturation density. A linear relation is obtained between the neutron skin thickness and the parameter beta ' = 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.