Multipolar model of bremsstrahlung accompanying proton-decay of nuclei

TL;DR

This paper introduces an improved multipolar model for bremsstrahlung photon emission during proton decay of nuclei, providing detailed calculations and predictions that align with experimental data, opening avenues for experimental studies.

Contribution

The paper presents a new multipolar model for bremsstrahlung in proton decay, with detailed angular formalism and predictions for various nuclei, enhancing understanding of photon emission in nuclear decay.

Findings

Predicted bremsstrahlung spectra match experimental data for alpha decay.

Model applicable to various nuclei decaying from different states.

Supports experimental investigation of bremsstrahlung in proton decay.

Abstract

Emission of bremsstrahlung photons accompanying proton decay of nuclei is studied. The new improved multipolar model describing such a process is presented. The angular formalism of calculations of the matrix elements is stated in details. The bremsstrahlung probabilities for the $^{157}{\rm Ta}$, $^{161}{\rm Re}$, $^{167}{\rm Ir}$ and $^{185}{\rm Bi}$ nuclei decaying from the $2s_{1/2}$ state, the $^{109}_{53}{\rm I}_{56}$ and $^{112}_{55}{\rm Cs}_{57}$ nuclei decaying from the $1d_{5/2}$ state, the $^{146}_{69}{\rm Tm}_{77}$ and $^{151}_{71}{\rm Lu}_{80}$ nuclei decaying from the $0h_{11/2}$ state are predicted. Such spectra have orders of values similar to the experimental data for the bremsstrahlung photons emitted during the $\alpha$-decay. This indicates on real possibility to study bremsstrahlung photons during proton decay experimentally and perform further measurements.