Ps formation in the laser-assistede+-He collision

Abstract
Using the first Born approximation and the A⋅p gauge, the Ps formation in a laser-assisted positron-helium collision is studied. In reducing the S matrix, we have developed an exponential-parameter integration technique which causes the laser-modified scattering amplitude to be reduced from nine-dimensional infinite integrals to one-dimensional finite ones without a singularity. Our results indicate that when the laser electric vector is parallel to the incident momentum, the integral cross section for Ps formation decreases, but when the electric vector is perpendicular to the incident momentum, the integral cross section increases. These results are quite different from that for an atomic-hydrogen target.

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