The nuclear matrix elements (NMEs) for the 0 ββ decays from 130Te to 130Xe and from 136Xe to 136Ba 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.
Abstract
Nuclear shell-model calculations are carried out for isobaric nuclei with masses 76 and 82. Energy spectra and electromagnetic transition rates are compared with the experimental data. Using ...the wavefunctions thus obtained, nuclear matrix elements for the neutrinoless double beta decay are estimated. In order to investigate the model dependence on the nuclear matrix elements, pair-truncated shell-model calculations are also performed. By comparing the results with those in other models, the nuclear matrix elements are found to be sensitive to the ground-state correlations. In particular, nuclear matrix elements have strong correlations with pairing gaps.
The observation of the neutrinoless double-beta decay can determine whether the neutrino is a Majorana particle or not. For theoretical nuclear physics it is particularly important to estimate three ...types of matrix elements, namely Fermi (F), Gamow-Teller (GT), and tensor (T) matrix elements. In this paper, we carry out shell-model calculations and also pair-truncated shell-model calculations to check the model dependence in the case of mass A=82 nuclei.
It is evidence for an extension of the Standard Model in particle physics, if static electric dipole moments (EDMs) are measured for any elementary particle. The nuclear EDM arises mainly from two ...sources: one comes from asymmetric charge distribution in a nucleus and the other is due to the nucleon intrinsic EDM. We estimate the nuclear EDMs from two sources for the (ProQuest: Formulae and/or non-USASCII text omitted) states in Xe isotopes by a shell model approach using full orbitals between magic numbers 50 and 82.
PDF
