Isovector pair correlations in analytically solvable models

TL;DR

This paper investigates isovector pair correlations in nuclei near $^{56}$Ni using analytical models, revealing anharmonic pairing vibrations and potential alpha-like correlations that influence nuclear energy levels.

Contribution

It introduces analytical solutions for the collective Hamiltonian with various potentials, highlighting new insights into isovector pairing and alpha-like correlations in nuclei.

Findings

Isovector pair correlations can be modeled as anharmonic vibrations.

Presence of alpha-particle type correlations in nuclei around $^{56}$Ni.

Interaction effects beyond simple isovector pairing influence energy dependence.

Abstract

The eigensolutions of the collective Hamiltonian with different potentials suggested for description of the isovector pair correlations are obtained, analyzed and compared with the experimental energies. It is shown that the isovector pair correlations in nuclei around $^{56}$Ni can be described as anharmonic pairing vibrations. The results obtained indicate the presence of the $\alpha$-particle type correlations in these nuclei and the existence of the interaction different from isovector pairing which also influences on the isospin dependence of the energies.