Spin-orbit and orbit-orbit strengths for radioactive neutron-rich doubly magic nucleus ${}^{132}$Sn in relativistic mean field theory

Abstract

Relativistic mean field (RMF) theory is applied to investigate the properties of the radioactive neutron-rich doubly magic nucleus ${}^{132}$Sn and the corresponding isotopes and isotones. The two-neutron and two-proton separation energies are well reproduced by the RMF theory. In particular, the RMF results agree with the experimental single-particle spectrum in ${}^{132}$Sn as well as the Nilsson spin-orbit parameter $C$ and orbit-orbit parameter $D$ thus extracted, but remarkably differ from the traditional Nilsson parameters. Furthermore, the present results provide a guideline for the isospin dependence of the Nilsson parameters.

4 pages, 4 figures, Phys. Rev. C in press

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• $\beta$-decay half-lives of neutron-rich nuclei and matter flow in the $r$-process
• Feasibility of the finite amplitude method in covariant density functional theory
• Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
• Enhanced collectivity in neutron-deficient Sn isotopes in energy functional based collective Hamiltonian
• Role of residual interaction in the relativistic description of M1 excitation