Analytical quantal collisional Stark mixing probabilities

Abstract
An exact expression for the probability P(n)ℓ'ℓ of Stark mixing transitions between arbitrary angular momentum states ℓ and ℓ' within the same energy shell n, as a result of a collision with a slow charged projectile at large impact parameters is presented. The formula obtained is compact and easy to use for numerical evaluations even for very large quantum numbers (n~100). A classical approximation is directly obtained and compared with the exact quantal result in the limit of large n. Two distinct sets of quantal oscillations are predicted.

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