State-selective single-electron-capture in collisions of dressed and bare projectiles with helium atoms are investigated by means of the prior-version of the four-body formalism of the target continuum distorted-wave approximation with a long-range Coulomb effects arising from the relative motion of the scattering aggregates. Here, we choose He2+\documentclass[12pt]{minimal}
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\begin{document}$$He^{2+}$$\end{document} and C4+\documentclass[12pt]{minimal}
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\begin{document}$$C^{4+}$$\end{document} ions as bare and dressed projectiles due to the availability of experimental data in the literature and impact energy varies from 10 to 600 keV/amu. For a dressed projectile, the passive electron plays the role of screening to the projectile nucleus. In the initial channel, the perturbation potential due to the interaction between the dressed projectile and the active electron(s), is approximated by a model potential that contains both the short-range and long-range parts. Coulomb continuum states of the active electron in the field of residual target ion as well as long-range Coulomb effects for the relative motion are incorporated in the final state wavefunction. State-selective total and projectile angular-differential cross sections for single-electron-capture have been calculated. Numerical results for state-selective total cross sections show good agreement with the available theoretical and experimental findings. Moreover, a prominent maxima and minima are observed in the projectile angular differential cross sections as impact energy decreases and its position moves to lower projectile scattering angle. Finally, the validity of the present model is critically assessed in comparison with the existing experimental data.
