Bound-state field theory approach to proton structure effects in muonic hydrogen

Published

May 17, 2013

Author(s)

Peter J. Mohr, J Griffith, J. Sapirstein

Abstract

A bound-state field theory approach to muonic hydrogen is set up using a variant of the Furry representation in which the lowest-order Hamiltonian describes a muon in the presence of a point Coulomb field, but the origin of the binding field is taken to be three charged quarks in the proton which are modeled as Dirac particles that move freely within a spherical well. Bound-state field theory techniques are used to evaluate one- and two-photon effects. Particular attention is paid to two-photon exchange diagrams, which include the effect of proton polarizability. In addition the modification of the electromagnetic self energy of the proton by the electric field of the muon is examined. Finally, the model is used to carry out a calculation of the static electric polarizability of the proton.

Citation

Physical Review A

Issue

052511

Pub Type

Journals

Keywords

proton radius, muonic hydrogen, QED, proton polarizability, bag model

Citation

Mohr, P. , Griffith, J. and Sapirstein, J. (2013), Bound-state field theory approach to proton structure effects in muonic hydrogen, Physical Review A (Accessed January 2, 2026)