Pseudospin symmetry and its approximation in real nuclei

TL;DR

This paper explores the origin and approximate nature of pseudospin symmetry in real nuclei within the relativistic mean field theory, analyzing how pseudospin partners are affected by the pseudo spin-orbit potential.

Contribution

It provides a detailed discussion on the origin of pseudospin symmetry, its breaking in real nuclei, and the role of the pseudo spin-orbit potential in this process.

Findings

Pseudospin symmetry is approximate in real nuclei.

The pseudo spin-orbit potential significantly influences intruder orbits.

Disappearance of pseudospin partners relates to wave function properties.

Abstract

The origin of pseudospin symmetry and its broken in real nuclei are discussed in the relativistic mean field theory. In the exact pseudospin symmetry, even the usual intruder orbits have degenerate partners. In real nuclei, pseudospin symmetry is approximate, and the partners of the usual intruder orbits will disappear. The difference is mainly due to the pseudo spin-orbit potential and the transition between them is discussed in details. The contribution of pseudospin-orbit potential for intruder orbits is quite large, compared with that for pseudospin doublets. The disappearance of the pseudospin partner for the intruder orbit can be understood from the properties of its wave function.