Abstract
The neutron skin thickness of stable and unstable nuclei is studied in Skyrme Hartree-Fock (SHF) and relativistic mean field (RMF) models to investigate the relation between the pressure and the equation of state in neutron matter. We found a clear linear correlation between the neutron skin thickness in heavy nuclei $^{132}\mathrm{Sn}$ and $^{208}\mathrm{Pb}$ and the pressure of neutron matter in both SHF and RMF models, while the correlation is weak in the unstable nuclei $^{32}\mathrm{Mg}$ and $^{44}\mathrm{Ar}$. Relations between the neutron skin thickness and other nuclear matter properties such as the symmetry energy coefficients and the nuclear incompressibility are discussed.
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