Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei

Correlations between the thickness of the neutron skin in finite nuclei and the nuclear matter symmetry energy are studied in the Skyrme Hartree-Fock model. From the most recent analysis of the isospin diffusion data in heavy-ion collisions based on an isospin- and momentum-dependent transport model with in-medium nucleon-nucleon cross sections, a value of $L=88\ifmmode\pm\else\textpm\fi{}25$ MeV for the slope of the nuclear symmetry energy at saturation density is extracted, and this imposes stringent constraints on both the parameters in the Skyrme effective interactions and the neutron skin thickness of heavy nuclei. Predicted thickness of the neutron skin is $0.22\ifmmode\pm\else\textpm\fi{}0.04$ fm for $^{208}\mathrm{Pb}$, $0.29\ifmmode\pm\else\textpm\fi{}0.04$ fm for $^{132}\mathrm{Sn}$, and $0.22\ifmmode\pm\else\textpm\fi{}0.04$ fm for $^{124}\mathrm{Sn}$.