Collective model with isovector pair and alpha-particle type correlations

TL;DR

This paper develops a collective Hamiltonian incorporating isovector pairing and alpha-particle correlations, improving the theoretical description of ground state energies in nuclei around nickel-56.

Contribution

It introduces a new collective Hamiltonian that includes alpha-particle type correlations, enhancing the accuracy of nuclear energy predictions.

Findings

Achieves satisfactory agreement with experimental ground state energies.

Significant improvement over previous models by including alpha-particle correlations.

Demonstrates the importance of alpha-particle correlations in nuclear structure calculations.

Abstract

The collective Hamiltonian including isovector pairing and $\alpha$-particle type correlation degrees of freedom is constructed. The Hamiltonian is applied to description of the relative energies of the ground states of even-even nuclei around $^{56}$Ni. A satisfactory description of the experimental data is obtained. A significant improvement of the agreement with the experimental data compared to our previous calculations is explained by inclusion in the Hamiltonian of the dynamical variables describing $\alpha$-particle type correlations.