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absolute convergence angular momentum Approximation in Partial Bessel function Born approximation bound electrons calculate CB and DW collision problem combining computational continuum radial contributions correlated corresponding definite direct discussed distorted wave eikonal approximation eikonal multiple term eikonal theory eikonal-related approximations electron scattering emphasized equivalent essential excitation expansion formula extend fact formal procedure formulated in partial harmonic Hartree-Fock Hence high incident energies Hiroshima impact important integral of interaction interaction potential involving Japan kind limit linear many-electron atomic systems matrix element method multiple scattering multipolarity N-electron atoms Nagoya University obtain orbital partial wave version perturbation phase integral Physics possible to evaluate practical applications present Professors projectile provides reduce reexpress relativistic restricted scattering from many-electron scattering from N-electron second stage similar spherical standard straight path Substituting summation supposed target tends values wave functions wishes to thank Z+l-in