Some Exact Radial Integrals for Dirac-Coulomb Functions

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Abstract
The zero energy loss Dirac‐Coulomb integrals are evaluated using the technique of contour integration. The expressions obtained have a closed analytic form, showing that these integrals are formally similar to the corresponding classical and nonrelativistic quantum mechanical, zero energy loss integrals which also have exact elementary solutions. Application of the zero energy loss Dirac‐Coulomb integrals occurs in inelastic electron scattering and similar problems. The investigation of the finite energy loss Dirac‐Coulomb integrals requires a study of the zero energy loss integrals as a preliminary.