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The correlation between neutron skin-thickness of a neutron-rich nucleus andslope parameter of symmetry energy is assessed as a function of density usingrelativistic mean field models containing non-linear couplings among differentmesons. Models with larger skin were found to probe the slope parameter even atsuprasaturation densities, whereas models with smaller skin were observed to besensitive only at specific subsaturation density, connected to the averagedensity of nuclei. Possible reasons behind this density dependence are exploredsystematically. These results might be model specific, which need to bereassessed in other type of interactions existing in the literature.Nevertheless, extrapolating the predictions at high densities from models,which are optimized by data at saturation or subsaturation densities, needs tobe handled with care.

Density dependence of symmetry energy and neutron skin thickness revisited using relativistic mean field models with nonlinear couplings