Abstract
Asymptotic wave functions together with a perturbation-theoretic treatment of the long-range polarization effects are used to provide an analytic expression for the dipole-length matrix element for electron-neutral-atom bremsstrahlung. This result permits the evaluation of bremsstrahlung from elastic scattering phase shifts at the initial and final electron energy and from the static polarizability of the atom. The expression is approximate and contains a weak dependence on a cutoff parameter, but it provides a complete generalization of the formulas due to Low, and to Kas'yanov and Starostin, and it contains terms of all orders in the photon energy. The result is that, by substitution into the formulas, the bremsstrahlung cross section may be evaluated to within a few percent for nearly all the energy range tested, once the elastic scattering phase shifts have been determined.
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