Neutrinoless Double-Beta Decay and Realistic Shell Model

TL;DR

This paper calculates the neutrinoless double-beta decay nuclear matrix element for 76Ge using a realistic shell model, emphasizing the importance of the Pauli blocking effect in deriving the effective operator.

Contribution

It introduces a derivation of the effective decay operator within the realistic shell model, highlighting the role of Pauli blocking effects.

Findings

The effective shell-model Hamiltonian was successfully derived using many-body perturbation theory.

The Pauli blocking effect significantly influences the calculation of the decay matrix element.

Results provide a more accurate estimate of the neutrinoless double-beta decay rate for 76Ge.

Abstract

We report on the calculation of the neutrinoless double-beta decay nuclear matrix element for 76Ge within the framework of the realistic shell model. The effective shell-model Hamiltonian and the two-body transition operator describing the decay are derived by way of many-body perturbation theory. Particular attention is focused on the role played by the so-called Pauli blocking effect in the derivation of the effective operator.