Classical-trajectory Monte Carlo calculation for collision processes of e++(e-p) and micro++( micro-p).

Abstract

Classical-trajectory Monte Carlo (CTMC) method is applied to the pickup process, A+(BC)\ensuremath{\rightarrow}(AB)+C, of a bound light particle in a heavy particle by an incident light particle as well as the breakup process A+(BC)\ensuremath{\rightarrow}A+B+C. Calculation has been made for the cross sections of the processes in the case of A=${e}^{+}$,${\ensuremath{\mu}}^{+}$, B=${e}^{\mathrm{\ensuremath{-}}}$,${\ensuremath{\mu}}^{\mathrm{\ensuremath{-}}}$, and C=p. The cross sections for positronium formation agree with those of recent quantum-mechanical calculations except for low impact velocities. The cross sections for (${\ensuremath{\mu}}^{+}$${\ensuremath{\mu}}^{\mathrm{\ensuremath{-}}}$) formation are smaller in magnitude than those of the quantum-mechanical calculations using the first-order Born approximation and the first-order distorted-wave Born approximation.