Abstract
We derive expressions for the gluon production cross sections in the single diffractive proton-nucleus scattering and DIS processes in a quasiclassical approximation. The resulting cross sections include the effects of all multiple rescatterings in the classical background field of the target proton or nucleus, which remains intact after the scattering. We also write down an expression for the inclusive gluon production cross section in DIS in the quasiclassical approximation.