# Precision Theoretical Analysis of Neutron Radiative Beta Decay

## TL;DR

This paper provides a precise theoretical calculation of the neutron radiative beta decay rate, including weak magnetism and proton recoil effects, revealing a significant increase in the predicted decay rate.

## Contribution

It offers a detailed Standard Model calculation of neutron radiative beta decay incorporating higher-order effects, improving accuracy over previous estimates.

## Key findings

- Weak magnetism and proton recoil increase decay rate by about 0.70%.
- Compared to neutron beta decay, these effects contribute about 0.16%.
- Results enhance understanding of neutron decay processes.

## Abstract

In the Standard Model of electroweak interactions and in the tree--approximation we calculate the rate and branching ratio of the neutron radiative beta decay with one-real photon emission by taking into account the contributions of the weak magnetism and proton recoil to order 1/m_p of the large proton mass m_p expansion. We find that the obtained contributions of the weak magnetism and proton recoil increase the rate and branching ratio of the neutron radiative beta decay by about 0.70%. This is large compared with the contribution of the weak magnetism and proton recoil of about 0.16% to the rate of the neutron beta decay, calculated in Phys. Rev. D88, 073002 (2013).

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Source: https://tomesphere.com/paper/1701.04613