Singularities of the Born–Oppenheimer exchange amplitude

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Abstract
Born–Oppenheimer amplitude for exchange collisions of electrons by atoms or molecules is found to possess singularities in the complex k 0, k f , and K plane, where k 0, k f , and K denote the magnitudes of the incoming, outgoing, and momentum change vectors, respectively. The locations of the singularities are investigated using analytic Hartree–Fock wavefunctions as well as correlated wavefunctions for the target and are found to be related to the asymptotic behavior of the targed electron undergoing exchange.