Abstract
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.
Highlights
The double beta decay is a second order process of the weak interaction which increases the atomic number of a nucleus by two
Up to now 2ν ββ decay half-lives have been measured in ten cases in experiment
The SM results and the pair-truncated shell-model (PTSM) results in S, S D- and S DG-spaces are shown in Table 1 in comparison with those of the interacting boson approximation (IBM) [4] and the quasi-particle random-phase approximation (QRPA) [3]
Summary
The double beta decay is a second order process of the weak interaction which increases the atomic number of a nucleus by two. The 0ν mode can only take place if the neutrino is a Majorana particle. This demands an extension of the Standard Model of electroweak interactions because it violates the lepton number conservation. Many theoretical methods have been applied so far to evaluate the nuclear matrix elements, namely, in the shell-model [1, 2], and the quasi-particle random-phase approximation (QRPA) [3] and in the microscopic interacting boson approximation (IBM) [4]. We calculate the nuclear matrix elements of the 0ν ββ decay for the transition from 82Se to 82Kr in two different formulations
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
