Shell-model study of titanium isotopic chain with chiral two- and three-body forces

TL;DR

This study uses advanced nuclear shell-model calculations with chiral two- and three-body forces to analyze the titanium isotopic chain, focusing on how effective interactions influence shell structure evolution.

Contribution

It introduces a comprehensive shell-model approach incorporating three-body forces derived from chiral potentials to study titanium isotopes.

Findings

Calculated two-neutron separation energies align with experimental data.

Excitation energies of yrast 2+ states match observed values.

The effective interactions significantly affect shell evolution patterns.

Abstract

The even-even Ti isotopic chain, from A = 42 to 70, has been studied within the nuclear shell-model framework by employing an effective Hamiltonian which is derived by way of many-body perturbation theory from a chiral potential with two- and three-body forces, and includes three-body contributions which account for Pauli principle violations in nuclei with more than two valence particles. We consider 40Ca as a closed core and a model space spanned by the neutron and proton 0f1p orbitals with the addition of the 0g9/2 orbital for neutrons. Calculated two-neutron separation energies and excitation energies of the yrast 2+ states are reported and compared with the experimental data, which are available up to 62Ti. The present study intends to investigate the effects of the adopted effective interactions on the evolution of the shell structure.