Abstract

Radial integrals consisting of products of Whittaker functions of the first and second kind arise frequently in expressions for various scattering processes. In particular, the Dirac-Coulomb radial integrals for intermediate energy DWBA lepton pair production and bremsstrahlung consist of products of Whittaker functions that result in slowly converging series expressions. An approximate partial differential matrix equation in the lepton energy is obtained that can be used to numerically propagate Dirac-Coulomb radial integrals along the lepton and photon energy spectrum, resulting in substantial time savings on the computer. Radial integrals for DWBA electron pair production from 10 MeV photons are calculated as an example of the use of the approximate equation that yield three significant digit accuracy.

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