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Generalised hydrogen interactions with CINCO: a window to new physics

17 Jul 2024arXiv:2407.12913links table onlyarchive 2025-07-28

Martin Bauer, Javier Perez-Soler, Jack D. Shergold

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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 ∼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" (CINCO).

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