  The proton radius has been measured in electron-proton scattering experiments
and laser based spectroscopy of muonic hydrogen. The latter method is based on
the precise calculations for the atomic energy levels in the approximation of
static nucleus, and includes numerous corrective effects.The 4% discrepancy
between two measuring methods is known as the proton radius puzzle. We suggest
that this discrepancy may be caused by an additional electromagnetic
interaction with the magnetic moment generated by then ucleus motion around the
center of mass of the muonic hydrogen. The scale of this effect is estimated
based on the known hyper fine structure of the muonic hydrogen. Our estimation
show that the effect of the atomic nucleus motion is high enough and may help
to solve the proton radius puzzle
