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The transition probability for the emission of a Bessel photon by an atomicsystem is calculated within first order perturbation theory. We derive a closedexpression for the electromagnetic potentials beyond the paraxial approximationthat permits a systematic multipole approximation . The matrix elements betweencenter of mass and internal states are evaluated for some specially relevantcases. This permits to clarify the feasibility of observing the rotationaleffects of twisted light on atoms predicted by the calculations. It is shownthat the probability that the internal state of an atom acquires orbitalangular momentum from light is, in general, maximum for an atom located at theaxis of a Bessel mode. For a Gaussian packet, the relevant parameter is theratio of the spread of the atomic center of mass wave packet to the transversalwavelength of the photon.Comment: 10 pages, no figure

Rotational effects of twisted light on atoms beyond the paraxial approximation