Exact relativistic tritium beta-decay endpoint spectrum in a hadron model

TL;DR

This paper provides a relativistic calculation of the tritium beta-decay endpoint spectrum within a hadron model, incorporating higher order effects and nuclear recoil to aid neutrino mass determination.

Contribution

It introduces a relativistic formalism for tritium beta-decay spectrum analysis, including higher order hadron current effects and a connection to the standard Kurie function.

Findings

Derived a simple relativistic Kurie function for endpoint spectrum analysis

Accounted for higher order hadron current effects and nuclear recoil

Established a link with the conventional Kurie function

Abstract

We present the relativistic calculation of the beta-decay of tritium in a hadron model. The elementary particle treatment of the transition 3H -> 3He + e^- + nu_e is performed in analogy with the description of the beta-decay of neutron. The effects of higher order terms of hadron current and nuclear recoil are taken into account in this formalism. The relativistic Kurie function is derived and presented in a simple form suitable for the determination of neutrino masses from the shape of the endpoint spectrum. A connection with the commonly used Kurie function is established.