Abstract
A new technique for the evaluation of the exchange amplitude for the process H++H(1s) to H(nlm)+H+ in the Born approximation taking the full interaction into consideration has been presented. This technique is also applied to two other first-order approximations which aim at an improvement over the Born approximation by taking account of the lack of orthogonality of the initial- and final-state wavefunctions. It is found that, over a wide range of incident proton energies, the cross sections for electron capture into different angular momentum states of an excited state having a moderate or high value of the principal quantum number are related to the respective asymptotic cross sections by a simple scaling law. The results in the various approximations discussed have been compared with experimental data.
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