Model-independent determination of the magnetic radius of the proton from spectroscopy of ordinary and muonic hydrogen
arXiv:1405.6515 · doi:10.1103/PhysRevD.90.053013
Abstract
To date the magnetic radius of the proton has been determined only by means of electron-proton scattering, which is not free of controversies. Any existing atomic determinations are irrelevant because they are strongly model-dependent. We consider a so-called Zemach contribution to the hyperfine interval in ordinary and muonic hydrogen and derive a self-consistent model-independent value of the magnetic radius of the proton. More accurately, we constrain not a value of the magnetic radius by itself, but its certain combination with the electric-charge radius of the proton, namely, R_E^2+R_M^2. The result from the ordinary hydrogen is found to be R_E^2+R_M^2=1.35(12) fm^2, while the derived muonic value is 1.49(18) fm^2. That allows us to constrain the value of the magnetic radius of proton R_M=0.78(8) fm at the 10% level.
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Cited by in corpus (7)
- Precise determination of proton magnetic radius from electron scattering data
- Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
- The Proton Radius from Bayesian Inference
- The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen
- Note on the electromagnetic radius of proton
- Laser excitation of the 1s-hyperfine transition in muonic hydrogen
- Clustering in hadrons and light nuclei from Lorentz boosted form factors