Electron capture by protons from theK-shell of H and Ar |
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Authors: | D? Belki? S Saini H S Taylor |
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Institution: | 1. Department of Chemistry, University of Southern California, University Park, Los Angeles, California, USA
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Abstract: | Whenever a collision takes place between charged particles, the first Born approximation for electron capture from hydrogenlike ions (Z T ,e) by a bare nucleusZ P , must be modified in order to account for the long-range Coulomb effects. One of the simplest ways to fulfill this requirement is provided by theT-matrix of the following form: $$T_{if}^{(1)} = \left\langle {\Phi _f exp\left\{ { - i\frac{{Z_T (Z_p - 1)}}{\upsilon } ln (\upsilon R + v \cdot R)} \right\}\left| {\frac{{Z_P }}{R} - \frac{{Z_P }}{{r_P }}} \right| exp\left\{ {i\frac{{Z_P (Z_T - 1)}}{\upsilon } ln (\upsilon R + v \cdot R)} \right\}\Phi _i } \right\rangle $$ where Φ's are the usual unperturbed channel states andZ's are the nuclear charges. In this transition amplitude, both initial and final scattering states satisfy the correct asymptotic boundary conditions in their respective channels. In the present paper, detailed computation of theK-shell cross sections is carried out for charge exchange in H+-H and H+-Ar collisions. The results are in good agreement with experimental data. |
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