Deformed Pseudospin Doublets as a Fingerprint of a Relativistic Supersymmetry in Nuclei

TL;DR

This paper reveals that the single-particle spectra in deformed nuclei display a supersymmetric pattern linked to relativistic pseudospin symmetry, involving doublets and intruder levels, providing new insights into nuclear structure.

Contribution

It demonstrates the presence of a relativistic supersymmetry in deformed nuclear spectra through the analysis of pseudospin doublets and intruder levels.

Findings

Single-particle spectra exhibit supersymmetric patterns.

Relativistic pseudospin symmetry underpins these patterns.

Identification of pseudospin doublets and intruder levels.

Abstract

The single-particle spectrum of deformed shell-model states in nuclei, is shown to exhibit a supersymmetric pattern. The latter involves deformed pseudospin doublets and intruder levels. The underlying supersymmetry is associated with the relativistic pseudospin symmetry of the nuclear mean-field Dirac Hamiltonian with scalar and vector potentials.