Generator Coordinate Method framework for Double Beta Decay

TL;DR

This paper develops a Generator Coordinate Method framework incorporating particle number and angular momentum projection to accurately compute nuclear matrix elements for double-beta decay in deformed nuclei.

Contribution

It introduces a consistent prescription for deriving PQRPA equations within the GCM framework, including formulas for excitation energies and wave functions.

Findings

Provides closed-form expressions for excitation energies.

Enables more accurate NME calculations for deformed nuclei.

Integrates particle number and angular momentum projections.

Abstract

We propose a consistent prescription for the derivation of the particle number and angular momentum projected QRPA (PQRPA) equation in the Generator Coordinate Method (GCM) framework for calculation of NME's of double-beta decay of axially deformed nuclei. We derive closed formulae for the calculation of excitation energies and wave functions of the intermediate nucleus.