Inversionless gain in a degenerate three-level system driven by a strong ex
ternal field and by collisions with a buffer gas is investigated. The mecha
nism of population distribution in upper laser level, contributed by the co
llision transfer, as well as by relaxation, induced by pressure of a buffer
gas, is discussed in detail. Explicit formulae for analysis of optimal con
ditions are derived. The idea developed here for the incoherent pump could
be generalized to other systems.