Shell-model study of the N=82 isotonic chain with a realistic effective hamiltonian

TL;DR

This study uses a realistic shell-model approach with a derived effective Hamiltonian to accurately predict low-energy states of N=82 isotones without relying on phenomenological inputs.

Contribution

It introduces a fully microscopic shell-model calculation for N=82 isotones using a derived effective Hamiltonian from the CD-Bonn potential, avoiding phenomenological parameters.

Findings

Good agreement between theoretical predictions and experimental data.

Effective Hamiltonian accurately reproduces low-energy spectra.

Method demonstrates reliability of microscopic interactions in shell-model calculations.

Abstract

We have performed shell-model calculations for the even- and odd-mass N=82 isotones, focusing attention on low-energy states. The single-particle energies and effective two-body interaction have been both determined within the framework of the time-dependent degenerate linked-diagram perturbation theory, starting from a low-momentum interaction derived from the CD-Bonn nucleon-nucleon potential. In this way, no phenomenological input enters our effective Hamiltonian, whose reliability is evidenced by the good agreement between theory and experiment.