Calculation of cross sections for electron capture by fastLi3+ions from atomic hydrogen in the continuum distorted-wave approximation

A method for the calculation of cross sections for electron capture into arbitrary $n$, $l$, and $m$ states of fast bare projectiles in collisions with fully stripped ions and ground-state hydrogenic targets has been proposed in the framework of the continuum distorted-wave approximation. The charge-exchange amplitude has been reduced to a one-dimensional integral in real space which is very convenient for numerical evaluation. The present method is applied in ${\mathrm{Li}}^{3+}$-$\mathrm{H}\mathrm{}\left(1s\right)\mathrm{}$ collisions and the calculated cross sections are in excellent agreement with the experimental data for the incident energies $E\ge 700$ keV.