The root-mean-square radii for neutrons in nuclei and their relationship to the neutron equation of state are investigated in the relativistic Hartree model. A correlation between the neutron skin in heavy nuclei and the derivative of the neutron equation of state is found which provides a linear continuation of results obtained from nonrelativistic Hartree-Fock models. The relativistic models tend to give larger neutron radii and an associated stiffer neutron equation of state compared with the nonrelativistic models.
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