Wave function of the proton in a uniform magnetic field

Abstract

We calculate the wave functions of the d-quark in the ground state of the proton, and how it is affected in the presence of a uniform background magnetic field. We focus on wave functions in the Landau and Coulomb gauges. We observe the formation of a scalar u-d diquark pair within the proton in Landau gauge, which is not present in Coulomb gauge. The overall distortion of the wave functions under a very large magnetic field, as demanded by the quantisation conditions on the field, is quite small.