Generalised hydrogen interactions with $\texttt{CINCO}$: a window to new physics

TL;DR

This paper introduces semi-analytic solutions for hydrogen transition rates influenced by various new physics interactions, achieving high precision and enabling diverse applications from astrophysics to laboratory experiments.

Contribution

It provides a novel semi-analytic framework and a computational tool for calculating hydrogenic transition rates under new physics interactions with high accuracy.

Findings

Results agree with QED predictions to 0.005%

Enables calculation of transition rates for dark matter candidates

Provides a new computational tool 'CINCO'

Abstract

We present semi-analytic solutions for atomic transition rates in hydrogenic atoms induced by scalar, pseudoscalar, vector, axial-vector, and tensor interactions. Our results agree with quantum electrodynamics predictions to $\sim 0.005\,\%$ precision, and further allow us to calculate absorption and emission rates for axions, hidden photons, light scalars or other dark matter candidates for hydrogen and hydrogenic ions. These results can be used to inform searches for light new physics as well as in calculations relevant to searches for fifth forces or varying fundamental constants, with applications from astrophysics to laboratory spectroscopy experiments. We also provide a dedicated tool for the construction of hydrogenic transition amplitudes: "Computation of hydrogen radial INtegrals and COefficients" ($\texttt{CINCO}$).