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

TL;DR

This paper uses relativistic mean field theory to analyze the spin-orbit and orbit-orbit strengths in the doubly magic nucleus $^{132}$Sn, providing insights into nuclear structure and parameter dependencies.

Contribution

It offers a novel application of RMF theory to determine Nilsson parameters and their isospin dependence for $^{132}$Sn, differing from traditional models.

Findings

RMF reproduces separation energies accurately.

RMF results match experimental single-particle spectra.

Provides isospin-dependent Nilsson parameters.

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.