We obtained the conditions under which the maximum non-equilibrium distribution of the population of alkali atoms in the ground state in atomic beam pumped by laser-MW double resonance is achieved. These conditions are consistent with recent experiments. We examined the processes which affect the realization of the non-equilibrium distribution of population, and indicated the methods of eliminating the effects of these processes. The features of pumping processes with laser-MW double resonances are discussed, and compared with the two laser pumping process.
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