Abstract
The shake-off mechanism, known in photon impact, has been applied to the analysis of two-electron transitions in slow ion-atom collisions. The mechanism consists of relaxation of the electronic state of an outer target electron upon relocalization of the inner-electron wave function from the target to projectile nucleus. Based on this mechanism, a method is proposed to estimate cross sections of two-electron processes. The method is demonstrated by calculating cross sections of double capture, transfer excitation, and transfer ionization for collisions of the excited He $(1s2l)$ atom with the ${\mathrm{B}}^{5+}$ ion. The dependence of the cross sections of double capture and transfer excitation on the principal quantum number $n$ of the final state is presented.
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