  We show that the Lorentz integral transform (LIT) technique which has been
successfully applied to photoreactions in light nuclei can also be applied to
photoreactions involving particle production. A simple model where results are
easily calculable in the traditional fashion is used to test the technique.
Specifically we compute inclusive $\pi^+$ photoproduction from deuterium for
photon energies less than 200 MeV using a Yamaguchi model for the NN
interaction. It is demonstrated that although the response functions for
inclusive meson production do not have favourable asymptotic behavior one can
nontheless extract them by inversion of the transform. The implication is that
one can treat realistic problems of photo-meson production including all final
state interactions by means of the LIT technique.
