Partial Dynamical Symmetry in Odd-Mass Nuclei

TL;DR

This paper investigates the spectral properties of the odd-mass nucleus $^{195}$Pt using an interacting boson-fermion Hamiltonian that exhibits partial dynamical symmetry, revealing a novel symmetry structure in mixed Bose-Fermi systems.

Contribution

It introduces the first example of partial dynamical symmetry in a mixed Bose-Fermi system, specifically applied to $^{195}$Pt.

Findings

Selected eigenstates are exactly solvable and preserve symmetry.

Other states are mixed, breaking the symmetry.

The approach provides new insights into nuclear spectral features.

Abstract

Spectral features of the odd-mass nucleus $^{195}$Pt are analyzed by means of an interacting boson-fermion Hamiltonian with SO(6) partial dynamical symmetry. For the latter, selected eigenstates are solvable and preserve the symmetry exactly, while other states are mixed. The analysis constitutes a first example of this novel symmetry construction in a mixed Bose-Fermi system.