Analytic strong-potential Born approximation cross sections for electron capture from the K shell by fast ions

The strong potential Born approximation has been applied to evaluate the transition amplitude for the collision process in which a fast ion of charge ZP captures an electron from the K shell of an atomic target with nuclear charge ZT, where ZT ≥ZP. The transition amplitude has been evaluated analytically in terms of Gauss hypergeometric functions. No peaking approximation has been made. We have considered the K-shell capture of electrons by high-energy protons from Li, C, Ne, Na, and Ar. Our results for C, Ne, and Ar are in good agreement with the available experimental data.