We presently introduce three-body methods named boundary-corrected first-Born eikonal final state (CB1-EFS-3B) and boundary-corrected first-Born eikonal initial state (CB1-EIS-3B) for single charge exchange in ion-atom collisions. The perturbation potential in the CB1-EFS-3B approximation is the same as in the prior form of the three-body boundary-corrected first-Born (CB1-3B) approximation. However, unlike the CB1-3B method, the CB1-EFS-3B approach takes into account the eikonal form of the Coulomb continuum intermediate states of the captured electron in the exit channel. Similarly, in the case of the CB1-EIS-3B approach, the eikonal form of the Coulomb continuum intermediate states of the captured electron in the entrance channel is taken into account, whereas the perturbation potential remains the same as in the post form of the CB1-3B model. For the CB1-EFS-3B and CB1-EIS-3B methods, we have carried out an analytical reduction of the original six-dimensional integrals for the transition amplitudes, encompassing both symmetric and asymmetric collisions, to an efficient two-dimensional numerical quadrature over real variables. Using CB1-EFS-3B and CB1-EIS-3B models, we computed a large number of total cross sections for electron capture in the ${\mathrm{H}}^{+}-\mathrm{H}$ collisions as well as single-electron capture from the K shell of multielectron atomic targets (helium, nitrogen, and oxygen) by protons at intermediate and high impact energies. The independent particle model and the frozen core approximation are employed, considering only one target electron as active for multielectron targets. The initial state of the active electron in the multielectron targets is described by the hydrogenlike wave functions. The present results from the CB1-EFS/EIS-3B methods are found to be in good agreement with the existing experimental data on total cross sections. The provided cross-section database can find important applications in several investigative fields ranging from plasma physics, astrophysics, and heavy-ion transport physics through fusion research and technology to hadron therapy.

Close

PrevNext

View figure in article

• Scattering of atoms, molecules, clusters & ions