Broken Pair Model: A viable Alterative to the Shell Model for Odd-Spherical Nuclei

TL;DR

This paper extends the broken pair model to odd-spherical nuclei, demonstrating its effectiveness as a computationally simpler alternative to the shell model with good agreement to experimental and shell model data.

Contribution

The paper introduces an extended broken pair model applicable to odd nuclei, providing a new, simplified approach that aligns well with existing shell model results and experimental data.

Findings

Model shows good agreement with shell model results.

Model results align with experimental data.

Extension successfully applied to Zr region.

Abstract

The broken pair model has been developed earlier as an useful approximation to the nuclear shell model for even-even nuclei. It is extended and developed here to include odd nuclei too. The model is then applied successfully in the Zr region, using two different sets of matrix elements, the empirical and the realistic sussex ones. The broken pair model results show a considerable agreement with the shell model results wherever available and with the experimental data where shell model calculations are not performed yet.