  The S-matrix element and the cross section of the laser-assisted nuclear
photoeffect are recalculated in a gauge invariant manner taking into account
the effect of the Coulomb field of the remainder nucleus. The \gamma-photon
energy dependence of the laser free cross section obtained in the plane wave
and long-wavelength Coulomb-Volkov approximations are compared. Numerically the
laser-assisted partial cross sections with laser photon energy 2 keV and some
different polarization states of \gamma-photon of energy 3 MeV are
investigated.
