  The Formation of metastable molecules (Feshbach resonances) at the collision
of two atoms and subsequent stimulated transition to a lower unbound electronic
molecular state, with emission of a photon of the laser radiation has been
investigated. This can develop, in particular, for $Rb_2$ molecules due to
resonance scattering of two $Rb$ atoms. The considered process is a basis for
the creation of excimer lasers. Expressions for the cross sections of elastic
and inelastic resonance scattering and the intensity of the stimulated emission
of the photons have been obtained.
