Abstract

A general expression is derived for the Born amplitude for electron capture by bare nuclei from hydrogenic atom targets, where capture takes place into high principal, and arbitrary angular momentum, quantum numbers, n and l. Cross sections for capture into high n and $l=0,1$ are given in analytic forms. The limiting values of the ratios of the Born over the Oppenheimer-Brinkman-Kramers cross sections for $n\ensuremath{\gg}1$ and $l=0,1$ are found, and shown that they confirm the empirical law of Jackson and Schiff only approximately. For high angular momenta, it is shown that the Born cross section approaches the OBK cross section. An error in a previous publication by the author has been corrected.

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