Chiral perturbation theory of muonic hydrogen Lamb shift: polarizability contribution

Abstract

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})}(2P-2S)=8_{-1}^{+3}\mu$eV. This result is consistent with most of evaluations based on dispersive sum rules, but is about a factor of two smaller than the recent result obtained in {\em heavy-baryon} chiral perturbation theory. We also find that the effect of $\Delta (1232)$-resonance excitation on the Lamb-shift is suppressed, as is the entire contribution of the magnetic polarizability; the electric polarizability dominates. Our results reaffirm the point of view that the proton structure effects, beyond the charge radius, are too small to resolve the `proton radius puzzle'.

16 pages, 5 figures

References in corpus (5)

• Electromagnetic excitation of the Delta(1232)-resonance
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
• QED is not endangered by the proton's size
• What different variants of chiral EFT predict for the proton Compton differential cross section - and why

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