Abstract
A systematic study of semiclassical and quantum cross sections of l-resolved intercombination transitions in Rydberg atoms due to collisions with fast electrons is performed in the Ochkur approximation for principal quantum numbers n\ensuremath{\le}15 and all possible orbital numbers l and changes \ensuremath{\Delta}l. The semiclassical approach provides reasonable estimates for cross sections over the angular-momentum range up to l\ensuremath{\sim}n/2. Intercombination transitions are shown to obey the ``Bethe rule'': at large l the transitions with n and l changing in the same direction dominate transitions with changes in opposite directions. It is also demonstrated that the more deeply inelastic the collision is, the higher the multipoles \ensuremath{\Delta}l that prevail in the total cross section. The semiclassical approach makes it possible to derive simple analytic formulas for cross sections with an explicit dependence on principal and orbital quantum numbers.
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