Short-Range Interaction Impact on Two-Dimensional Dipolar Scattering

Abstract

Abstract. We report numerical investigation of the short range interaction influence on the two-dimensional quantum scattering of two dipoles. The model simulates two ultracold polar molecules collisions in two spatial dimensions. The used algorithm allows us to quantitatively analyse the scattering of two polarized dipoles with account for strongly anisotropic nature of dipolar interaction. The strong dependence of the scattering total cross section on the short range interaction radius was discovered for threshold collision energies. We also discuss differences of calculated scattering cross section dependencies for different polarisation axis tilt angles.

Binding energies of quantum dipole in plane

“…We fill this gap employing the proposed numerical algorithm for solving the 2D Schrödinger equation. It is based on the method of shifted inverse iterations and the variation of the discrete-variable method, proposed in the paper of Melezhik [14] for a solution of the multichannel scattering problem and applied for study of the 2D scattering of two unpolarized dipoles [15,16] and the 2D Hydrogen atom in a tilted magnetic field [17,18].…”