Statistical shell model for neutrinoless double β-decay nuclear transition matrix elements: Results for 76Ge, 82Se, 100Mo, 124Sn, 130Te and 136Xe

Statistical shell model (also called spectral distribution method or statistical spectroscopy method) based on random matrix theory and spherical shell model gives a theory for calculating neutrinoless double beta decay nuclear transition matrix elements. This theory is briefly described and then applied to [Formula: see text]Ge, [Formula: see text]Se, [Formula: see text]Mo, [Formula: see text]Sn, [Formula: see text]Te and [Formula: see text]Xe neutrinoless double beta decay. In these calculations, the Bethe’s spin-cutoff factor and a bivariate correlation coefficient are varied in a range dictated by random matrix theory and trace propagation. The calculated neutrinoless double beta decay nuclear transition matrix elements are compared with the results from several other models as available in the literature. The statistical shell model results are in general a factor of 2 smaller compared to those from the spherical shell model.