Properties of neutrinoless double beta decay nuclear matrix elements studied along isotopic chains

Tomás R Rodríguez,Gabriel Martínez-Pinedo

doi:10.1051/epjconf/20146608006

Tomás R Rodríguez, Gabriel Martínez-Pinedo

Open Access

https://doi.org/10.1051/epjconf/20146608006

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Abstract

We use energy density functional methods to compute the nuclear matrix elements (NME) of neutrinoless double beta decay (0 ) in the Cadmium isotopic chain. The interconnected role of deformation, pairing, configuration mixing in the NMEs is discussed in the candidate 116 Cd and extended to the whole isotopic chain. In addition, strong shell e ects are found and compared to a generalized seniority model.

Highlights

Detection of lepton number violating processes like neutrinoless double beta decays (0νββ) is one of the most promising scenarios to find physics beyond the standard model apart from the search for new physics at LHC [1]
In the mechanism known as the exchange of a light Majorana neutrino, the 0νββ decay rate is proportional to a phase space factor G0ν, and the square of both the effective Majorana mass mββ and the nuclear matrix element (NME) M0ν
The latter has to be evaluated from theoretical calculations using nuclear structure methods, e.g., quasiparticle random phase approximation (QRPA), interacting shell model (ISM), interacting boson model (IBM) or energy density functional methods (EDF) [3]

Summary

Introduction

Detection of lepton number violating processes like neutrinoless double beta decays (0νββ) is one of the most promising scenarios to find physics beyond the standard model apart from the search for new physics at LHC [1]. While most of these methods agree on the transition operator which describes the process, they differ in the way the initial and final nuclear wave functions are computed, and in the correlations taken into account.

Results

Conclusion