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arxiv 2208.04025 v1 pith:UN7AOFAJ submitted 2022-08-08 nucl-th hep-phphysics.atom-ph

Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen

Aldo Antognini , Yong-Hui Lin , Ulf-G. Mei{\ss}ner This is my paper
classification nucl-th hep-phphysics.atom-ph
keywords hydrogenmuoniccalculationcorrectionelectronichyperfinerecoil--finite-sizesplitting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a high-precision calculation of the recoil--finite-size correction to the hyperfine splitting (HFS) in muonic and electronic hydrogen based on nucleon electromagnetic form factors obtained from dispersion theory. This will help guide the upcoming searches of the HFS transition in muonic hydrogen, and will allow a precise determination of the polarizability and Zemach radius contributions when this transition is found.

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  1. Hadronic vacuum polarization in hydrogen-like atoms and ions amid the interplay of recoil and finite-size effects

    physics.atom-ph 2026-07 accept novelty 6.0

    The hVP contribution to the HFS in muonic hydrogen is 2.153(11) µeV, deviating from previous evaluations by ~10x the anticipated experimental precision, due to corrected recoil and finite-size interplay.