New evaluation of proton structure corrections to hydrogen hyperfine splitting

Abstract

Abstract:We consider the proton structure corrections to hydrogen ground-state hyperfine structure, focusing on a state-of-the-art evaluation of the inelastic nucleon corrections-the polarizability corrections-using analytic fits to the most recent data. We find a value for the fractional correction ∆ pol of 1.3 ± 0.3 ppm. This is 1-2 ppm smaller than the value of ∆ pol one would deduce using hyperfine splitting data and elastic proton structure corrections obtained from modern form factor fits. In addition, we discuss the derivations of the relevant formulas, paying attention to lepton mass effects and to questions surrounding the use of unsubtracted dispersion relations.

Nucleon polarizabilities: From Compton scattering to hydrogen atom

“…the H HFS can be found in Refs. [272,273,[281][282][283], radiative corrections are calculated in Ref. [278].…”

“…The validity of the unsubtracted DRs is based on Regge theory[271], see also Refs [272,273]. for a discussion of the no-subtraction assumption.…”

Electric dipole polarizabilities of hydrogen and helium isotopes

“…Low moments may be further decomposed into Zemach moments [9] (viz., utilizing only ground-state expectation values of the charge and current operators) and polarization contributions (viz., including only virtual excited states between the two operators), both of which play significant roles. For the important proton (i.e., 1 H) case the polarization effects are significantly smaller than the static (Zemach) corrections because the proton is much more difficult to excite than any nucleus [10,11,12]. Although exceptionally interesting, hyperfine transitions are not the focus of this paper.…”

The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms

“…As a result, neglecting the lepton mass the nucleus polarizability contribution to HFS can be presented in the form [11][12][13][14]:…”