Nucleon distribution in nuclei beyond β-stability line

Details Nucleon distribution in nuclei beyond β-stability line Nucleon distribution in nuclei beyond β-stability line

2011-12-13

arxiv.org/abs/1112.2863v3

Phys. Rev. C 85, 034309 (2012)

Physics

Nuclear Physics

Nuclear Theory

20 pages, 9 figures, published in Phys. Rev. C. arXiv admin note: text overlap with arXiv:1010.5103

Scientific paper

10.1103/PhysRevC.85.034309

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 the neutron skin in unstable nuclei does not obey the saturation condition because of the polarization effect. The value of the neutron-skin thickness \Delta r_{np}=\sqrt{}-\sqrt{} is caused by the different radii (skin effect) and only slightly by the different shapes (halo effect) of neutron and proton distributions. The relative contribution of both effects depends on the competition between the symmetry energy, and the 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.

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