1112.2863 (V. M. Kolomietz et al.)

Nucleon distribution in nuclei beyond β-stability line    [PDF]

V. M. Kolomietz, S. V. Lukyanov, A. I. Sanzhur

The radii of nucleon distribution, bulk density and neutron skin in nuclei beyond the \beta-stability line are studied within the direct variational method. We evaluate the partial equation of state of finite nuclei and demonstrate that the bulk density decreases beyond the beta stability line. We show that the growth of neutron skin in unstable nuclei does not obey the saturation condition because of polarization effect. The value of the neutron-skin thickness \Delta r_{np}=\sqrt{}-\sqrt{} is caused by the different radii (skin effect) and slightly only by the different shape (halo effect) of neutron and proton distributions. The relative contribution of both effects depends on the competition between symmetry energy, spin-orbit and Coulomb interactions. The calculations of the isovector shift of the nuclear radius \Delta r_{np} show its primarily linear dependence on the asymmetry parameter X=(N-Z)/A.

View original: http://arxiv.org/abs/1112.2863