Partial dynamical symmetry and odd-even staggering in deformed nuclei

TL;DR

This paper demonstrates how partial dynamical symmetry (PDS) can effectively describe odd-even staggering in the gamma band of deformed nuclei like Gd-156, while preserving symmetry properties in other bands.

Contribution

It introduces classes of interacting boson model Hamiltonians with SU(3) PDS that accurately model nuclear spectral features.

Findings

PDS explains odd-even staggering in gamma bands.

SU(3) symmetry is retained in ground and beta bands.

Multiple Hamiltonian classes with SU(3) PDS are identified.

Abstract

Partial dynamical symmetry (PDS) is shown to be relevant for describing the odd-even staggering in the $\gamma$-band of $^{156}$Gd while retaining solvability and good SU(3) symmetry for the ground and $\beta$ bands. Several classes of interacting boson model Hamiltonians with SU(3) PDS are surveyed.