Simulation of scattering on the superposition of two potentials

Simple expressions are obtained for cross section of classical scattering by combination of repulsive hard sphere potential of an absolutely elastic sphere and attractive long-range potential of the form V(r) = –γ/rn, (n > 2). These expressions are given in terms of analytical functions of the energy of relative motion in two regions of relative collision energy variation. The developed procedure of scattering simulation is well combined with discretization of equation of charged particle motion in electric field. The proper algorithm is described in the framework of Monte Carlo based simulation. The extension of developed model to the case of anisotropic core repulsive potential is suggested.