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arxiv hep-ph/9608484 v1 pith:PYIP4KN3 submitted 1996-08-29 hep-ph

Nuclear Structure-Dependent Radiative Corrections to the Hydrogen Hyperfine Splitting

classification hep-ph
keywords correctionsradiativecontributioncontributionshydrogenhyperfinenuclearsplitting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Radiative corrections to the Zemach contribution of the hydrogen hyperfine splitting are calculated. Their contributions amount to $-0.63(3)$ ppm to the HFS. The radiative recoil corrections are estimated to be $0.09(3)$ ppm and heavy particle vacuum polarization shifts the HFS by $0.10(2)$ ppm. The status of the nuclear-dependent contributions are considered. From the comparison of theory and experiment the proton polarizability contribution of $3.5(9)$ ppm is found. The nuclear structure-dependent corrections to the difference $\nu_{hfs}(1s) -n^3\nu_{hfs}(ns)$ are also obtained.

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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.