Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality

TL;DR

This paper develops a general theoretical framework for understanding low-energy collisions of aligned dipoles with spin-orbit coupling, revealing universal scattering behaviors at ultracold temperatures.

Contribution

It introduces a comprehensive formalism for multi-channel scattering of spin-orbit-coupled dipoles, applicable to particles with arbitrary spin, and validates it against numerical results.

Findings

Born approximation accurately describes scattering cross-sections at ultracold temperatures.

Excellent agreement between analytical and numerical results.

Universal scattering behavior observed away from shape resonances.

Abstract

A theoretical study of the low-energy scattering properties of two aligned identical bosonic and fermionic dipoles in the presence of isotropic spin-orbit coupling (SOC) is presented. A general treatment of particles with arbitrary (pseudo-) spin is given in the framework of multi-channel scattering. At ultracold temperatures and away from shape resonances or closed-channel dominated resonances, the cross-section can be well described within the Born approximation to within corrections due to the s-wave scattering. We compare our findings with numerical calculations and find excellent agreement.