State-selective cross section scalings for electron capture collisions

The classical-trajectory Monte Carlo method is used to calculate total and final n(f) state-selective electron capture cross sections for various fully stripped ions, ranging from He2+ to Ne10+ incident on H(n(i) = 1-4) and Li(2s and 2p) targets over the collision energies of 1-100 keV u(-1). Theoretical derivations of two scaling laws for state-selective electron capture cross sections as a function of collision energy, initial and final bound electron states and projectile charge are presented. The new scaling rules reduce the state-selective capture cross sections to Very distinct universal curves. Curve fits to the state-selective cross sections are presented to provide additional information about the peak locations and magnitudes as well as the behaviour of the reduced cross sections as a function of collision energy. The scaling laws developed in this report allow for the prediction of state-selective electron capture cross sections in low-energy regions where experimental data have been Limited or non-existent.