Low-energy scatterings and pseudopotential of polarized quadrupoles

TL;DR

This paper studies low-energy scattering of polarized quadrupoles, revealing resonances and proposing a new pseudopotential, with analysis of bound states in free space and traps.

Contribution

It introduces a novel pseudopotential for polarized quadrupolar interactions and analyzes scattering resonances and bound states.

Findings

Resonances in s- and p-wave scattering for bosons and fermions.

Resonances in generalized scattering lengths involving s- and d-waves.

Proposed a new pseudopotential for quadrupolar interactions.

Abstract

We investigate the low-energy scattering properties of two identical particles interacting via the polarized quadrupolar interaction. It is shown that a series of $s$- and $p$-wave resonances appear for identical bosons and fermions, respectively, as the strength of the quadrupolar interaction increases. Interestingly, scattering resonances also appear on the generalized scattering length corresponding to the coupling between the $s$ and $d$ waves. This observation inspires us to propose a new pseudopotential for the quadupolar interaction. We also explore the bound-state properties of two particles in both free space and harmonic traps.