Classical-trajectory Monte Carlo calculations of differential electron-emission cross sections in fast heavy-ion collisions with water molecules

Abstract

A classical description of electron-emission differential ionization cross sections for highly charged high-velocity ions ($\ensuremath{\sim}10$ a.u.) impinging on water molecules is presented. We investigate the validity of the classical statistical mechanics description of ionization ($\ensuremath{\hbar}=0$ limit of quantum mechanics) in different ranges of electron-emission energy and solid angle, where mechanisms such as soft and binary collisions are expected to contribute. The classical-trajectory Monte Carlo method is employed to calculate doubly and singly differential cross sections for ${\mathrm{C}}^{6+}$, ${\mathrm{O}}^{8+}$, and ${\mathrm{Si}}^{13+}$ projectiles, and comparisons with continuum-distorted-wave eikonal-initial-state theoretical results and with experimental data are presented. We implement a time-dependent screening effect in our model, in the spirit of mean-field theory, to investigate its effect for highly charged projectiles. We also focus on the role of an accurate description of the molecular target by means of a three-center potential to show its effect on differential cross sections. Very good agreement with experiments is found at medium to high electron-emission energies.