  We consider the Raman process developing in a disordered medium of
alkali-metal atoms when the scattered modes are trapped on a closed transition.
Our theoretical analysis, based on numerical simulations of the Bethe-Salpeter
equation for the light correlation function, which includes all Zeeman states
and light polarization, lets us track the stimulated amplification as well as
the losses associated with the inverse anti-Stokes scattering channel. We
discuss possible conditions when this process could approach the instability
point and enter the regime of random lasing.
