Universal bound and scattering properties for two dipoles

TL;DR

This paper investigates the universal bound and scattering properties of two oriented dipoles, revealing scaling laws and universal behaviors in their angular momentum and phase shifts, applicable to both bosonic and fermionic cases.

Contribution

It uncovers universal scaling laws for two dipoles' bound states and scattering properties, linking them to pendulum motion and extending to three dipole systems.

Findings

Universal scaling of angular momentum in bound states

Universal low-energy scattering phase shifts

Connections to three-dipole scaling laws

Abstract

The bound state and low-energy scattering properties of two oriented dipoles are investigated for both bosonic and fermionic symmetries. Interestingly, a universal scaling emerges for the expectation value of the angular momentum for deeply-bound two-dipole states. This scaling traces to the pendulum motion of two dipoles in strong dipole regime. The low-energy scattering phase shifts of two dipoles also show universal behavior. These universal observations make connections to the scaling laws reported in Refs. [1, 2] for three dipoles. Atomic units are used throughout this work.