Effects of tensor interaction on pseudospin energy splitting and shell correction

TL;DR

This paper investigates how tensor interactions influence pseudospin energy splitting and shell correction energies in nuclei, revealing significant effects on nuclear stability, especially in superheavy elements, using a Skyrme-Hartree-Fock framework.

Contribution

It demonstrates the impact of tensor forces on pseudospin splitting and shell correction energies within a Skyrme-Hartree-Fock approach, highlighting their role in nuclear stability.

Findings

Tensor force significantly affects pseudospin energy splitting.

Tensor interaction modifies shell correction energies.

Influence on superheavy nuclei stability.

Abstract

In the framework of a Skyrme-Hartree-Fock approach combined with BCS method, the role of the tensor force on the pseudospin energy splitting for tin isotope chain is investigated. The tensor force turns out to obviously affect the pseudospin energy splitting of the spin-unsaturated nuclei. Since the tensor force shifts the single-particle levels, it modifies the single-particle level density and the shell correction energy thereof. The influence of the tensor interaction on shell correction energy is considerable according to our analysis taking a magic nucleus $^{132}$Sn as well as a superheavy nucleus $^{298}114$ as examples. This modification of the shell correction energy due to the tensor component affects the stability of the superheavy nuclei.