Nuclear matrix elements of neutrinoless double beta decay for masses 130 and 136 in the shell model

The nuclear matrix elements (NMEs) for the 0 nu beta beta decays from Te-130 to Xe-130 and from Xe-136 to Ba-136 are calculated in the nuclear shell model. In order to investigate the model dependence on the NMEs, pair-truncated shell-model calculations are also performed. It is found that the NMEs are sensitive to the ground-state correlations. In particular, the isovector monopole-pairing interactions largely affect the NMEs.