QED calculations of three-photon transition probabilities in H-like ions with arbitrary nuclear charge

TL;DR

This paper presents a quantum electrodynamical framework for calculating three-photon transition probabilities in hydrogen-like ions across a wide range of nuclear charges, providing data useful for testing fundamental quantum statistics.

Contribution

It introduces a relativistic QED approach to compute three-photon decay rates in hydrogen-like ions for various states and nuclear charges, including gauge comparisons.

Findings

Calculated three-photon decay rates for $2p_{3/2}$, $2p_{1/2}$, and $2s_{1/2}$ states across Z=1 to 95.

Provided decay probabilities in two different gauges for validation.

Results applicable to testing Bose-Einstein statistics in multiphoton systems.

Abstract

The quantum electrodynamical theory of the three-photon transitions in hydrogen-like ions is presented. Emission probabilities of various three-photon decay channels for $ 2p_{3/2} $, $ 2p_{1/2} $ and $ 2s_{1/2} $ states are calculated for the nuclear charge $Z$ values $1\leqslant Z \leqslant 95$. The results are given in two different gauges. The fully relativistic three-photon decay rates of hydrogen-like ions with half-integer nuclear spin are given for transitions between fine structure components. The results can be applied to the tests of the Bose-Einstein statistics for the multiphoton systems.