Spectral distribution Method for neutrinoless double beta decay: Results for $^{82}$Se and $^{76}$Ge

TL;DR

This paper introduces a spectral distribution method combining shell model and random matrix theory to calculate neutrinoless double beta decay matrix elements, showing promising initial results for specific isotopes.

Contribution

The paper develops a novel spectral distribution approach for neutrinoless double beta decay calculations, integrating shell model and random matrix theory.

Findings

Results for $^{82}$Se and $^{76}$Ge are close to existing shell model calculations.

The spectral method provides a new computational tool for decay matrix elements.

Initial results demonstrate the method's potential accuracy.

Abstract

Statistical spectral distribution method based on shell model and random matrix theory is developed for calculating neutrinoless double beta decay nuclear transition matrix elements. First results obtained for $^{82}$Se and $^{76}$Ge using the spectral method are close to the available shell model results.