Electron capture into arbitraryn,llevels of fast projectiles

Abstract

The approach to electron capture previously developed by the authors is extended to describe the capture of hydrogenic $\mathrm{ls}$ electrons into arbitrary hydrogenic $n$,$l$ excited states of fast projectiles. A simple formula for $n$,$l$ distributions is derived. Capture occurs mainly into states around $n_{\mathrm{res}}\approx \frac{Z_p}{Z_t}$ ($Z_t$ and $Z_p$ are the target and projectile charges) and $l\approx n_{\mathrm{res}}-1\mathrm{}$. The $n$,$l$ distributions for ${\mathrm{O}}^{8+}+\mathrm{H}\mathrm{}\left(1s\right)\mathrm{}\to {\mathrm{O}}^{7+}\mathrm{}\left(\mathrm{nl}\right)+{\mathrm{H}}^{+}$ and for ${\mathrm{O}}^{8+}+\mathrm{He}\left(1\mathrm{}{s}^2\right)\to {\mathrm{O}}^{7+}\mathrm{}\left(\mathrm{nl}\right)+{\mathrm{He}}^{+}\mathrm{}\left(1s\right)\mathrm{}$ are graphically displayed as representative examples. For the reactions ${\mathrm{H}}^{+}+\mathrm{H}\mathrm{}\left(1s\right)\mathrm{}\to \mathrm{H}\mathrm{}\left(\mathrm{nl}\right)+{\mathrm{H}}^{+}$ and ${\mathrm{H}}^{+}+\mathrm{He}\left(1\mathrm{}{s}^2\right)\to \mathrm{H}\mathrm{}\left(\mathrm{nl}\right)+{\mathrm{He}}^{+}\mathrm{}\left(1s\right)\mathrm{}$ ($nl=2s,2p,3s,3p,3d, \mathrm{and} 4s$), good agreement is obtained with experimental cross sections.