Electron capture by fully stripped high-Zprojectiles from the hydrogen atom

A single-channel distorted-wave approximation is used to calculate the one-electron capture cross section into an arbitrary state (nlm) of ${\mathrm{Ti}}^{22+}$, ${\mathrm{V}}^{23+}$, and ${\mathrm{Fe}}^{26+}$ from the ground state of a hydrogen atom. Since the interaction between the heavy projectile and the target electron is stronger, we represent the initial-channel wave function by a continuum distorted wave while the wave function in the final channel is taken to be a traveling atomic orbital. The nth partial cross sections are found to be in qualitative agreement with previous calculations for some other systems. It is found that at high energies the value ${\mathit{n}}_{\max }$, where the nth partial cross section is maximum, is larger by a few steps than obtained from the ${\mathit{n}}_{\max }$=${\mathit{Z}}^{3/4}$ model. However, for a fixed projectile ${\mathit{n}}_{\max }$ moves towards the smaller values as the energy increases. The l dependence of the cross sections are also studied at different energies at the corresponding ${\mathit{n}}_{\max }$. We have further studied the mth partial cross sections at various energies and at the corresponding ${\mathit{n}}_{\max }$ for several l values. It is found that the contributions from higher m values are decreasing rapidly for m≳5.