Manifestation of three-body forces in f7/2-shell nuclei

TL;DR

This paper extends the nuclear shell model to include three-body forces, demonstrating their significant impact on spectra, energies, and transition rates in 0f7/2-shell nuclei, thus improving theoretical accuracy.

Contribution

It introduces an empirical Hamiltonian with three-body forces for 0f7/2-shell nuclei, highlighting their importance beyond traditional two-body models.

Findings

Three-body forces affect spectra and energies.

Inclusion of three-body terms improves model accuracy.

Manifestations observed in transition rates and symmetry properties.

Abstract

The traditional nuclear shell model approach is extended to include many-body forces. The empirical Hamiltonian with a three-body force is constructed for the identical nucleons on the 0f7/2 shell. Manifestations of the three-body force in spectra, binding energies, seniority mixing, particle-hole symmetry, electromagnetic and particle transition rates are investigated. It is shown that in addition to the usual expansion of the valence space within the tranditional two-body shell model, the three-body component in the Hamiltonian can be an important part improving the quality of the theoretical approach.