Abstract
Due to the peculiar shape of the proton charge density ρ(r) the value of the rms-radius r rms determined from electron scattering data depends strongly on the density ρ(r) at large radii, which is not fixed by scattering data. Supplementing the data with the large-r shape of ρ(r) resulting from the Fock components (n + π, . . .) dominating the large-r behavior produces a more reliable value. This radius agrees with the one we previously extracted, but disagrees with the one recently obtained from muonic Hydrogen. The origin of the discrepancy is not understood.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Sick I.: On the rms-radius of the proton. Phys. Lett. B 576, 62 (2003)
Arrington J., Melnitschouk W., Tjon J.A.: Global analysis of elastic form factor data with two-photon exchange corrections. Phys. Rev. C 76, 035205 (2007)
Borisyuk D.: Proton charge and magnetic rms radii from elastic ep scattering data. Nucl. Phys. A 843, 59 (2010)
Dziembowski Z., Holtmann H., Szcsurek A., Speth J.: Pionic corrections to nucleon electromagnetic properties in a light-cone framework. Ann. Phys. 258, 2 (1997)
Galster S., et al.: Elastic electron–deuteron scattering and the electric neutron form factor. Nucl. Phys. B 32, 221 (1971)
Kelly J.J.: Simple parameterizations of nucleon form factors. Phys. Rev. C 70, 068202 (2004)
Mitra A.N., Kumari I.: Relativistic form factor for clusters with nonrelativistic wave functions. Phys. Rev. D 15, 261 (1977)
Holzwarth G.: Baryons as solitons in effective chiral field theories. Prog. Part. Nucl. Phys. 36, 161 (1996)
Ji X.: A relativistic skyrmion and its form factors. Phys. Lett. B 254, 456 (1991)
Licht A.L., Pagnamenta A.: Wave functions and form factors for relativistic composite particles. Phys. Rev. D 2, 1156 (1970)
Sick I.: Model-independent nuclear charge densities from elastic electron scattering. Phys. Lett. B 44, 62 (1972)
Udem T., et al.: Phase-coherent measurement of the hydrogen 1s–2s transition frequency with an optical frequency interval divider chain. Phys. Rev. Lett. 79, 2646 (1997)
Melnikov K., van Ritbergen T.: Three-loop slope of the Dirac form factor and the 1S Lambshift in hydrogen. Phys. Rev. Lett. 84, 1673 (2000)
Pohl R., et al.: The size of the proton. Nature 466, 213 (2010)
Bernauer J.C., et al.: High-precision determination of the electric and magnetic form factors of the proton. Phys. Rev. Lett. 105, 242001 (2010)
de Rujula A.: QED is not endangered by the proton size. Phys. Lett. B 693, 555 (2010)
Friar J.L., Sick I.: Muonic hydrogen and the third Zemach moment. Phys. Rev. A 72, 040502 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sick, I. Troubles with the Proton rms-Radius. Few-Body Syst 50, 367–369 (2011). https://doi.org/10.1007/s00601-010-0200-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-010-0200-y