Effects of core motion on static properties of the nucleon

The effects of core motion in the nucleon are calculated in a simple model in which the translation-invariant Hamiltonian describes a pion field interacting with a nucleon core. The ground state of the system is shown to be a self-consistent state in which the pion field binds the core, which, in turn, acts as an effective nonstatic source of the pion field. The form factor of the nonstatic source is softer than the intrinsic form factor of the corresponding Hamiltonian without core motion. The effects of core motion on the nucleon magnetic moments and charge radii are presented for the case that the core properties are computed in the bag model. It is found that for a given set of observed properties, the bag with core motion is smaller than the corresponding bag without core motion