Transition Operators Entering Neutrinoles Double Electron Capture to Excited Nuclear States

TL;DR

This paper develops effective transition operators for neutrinoless double electron capture to excited nuclear states, which could help identify the light neutrino mass contribution if such processes are observed experimentally.

Contribution

It introduces new effective transition operators for neutrinoless double electron capture to non-$0^{+}$ states, aiding in distinguishing neutrino mass effects from other mechanisms.

Findings

Constructed operators for non-$0^{+}$ final states.

Highlights importance for experimental identification of neutrino mass.

Provides theoretical framework for future experimental analysis.

Abstract

We construct the effective transition operators relevant for neutrinoless double electron capture leading to final nuclear states different than $0^{+}$. From the structure of these operators we see that, if such a process is observed experimentally, it will be very helpful in singling out the very important light neutrino mass contribution from the other lepton violating mechanisms