Scaling Law for Three-body Collisions in Identical Fermions with $p$-wave Interactions

TL;DR

This study experimentally verifies the threshold behavior and scattering law of three-body loss in ultracold fermionic gases near a p-wave Feshbach resonance, highlighting the conditions and limitations of these laws.

Contribution

It provides the first experimental confirmation of the threshold and scattering length scaling laws for three-body losses in p-wave interacting fermions, including the conditions for their breakdown.

Findings

Threshold law holds in limited temperature and magnetic field regions.

Scaling law is valid within specific scattering volume ranges.

Breakdown of scaling laws linked to effective-range term emergence.

Abstract

We experimentally confirmed the threshold behavior and scattering length scaling law of the three-body loss coefficients in an ultracold spin-polarized gas of $^6$Li atoms near a $p$-wave Feshbach resonance. We measured the three-body loss coefficients as functions of temperature and scattering volume, and found that the threshold law and the scattering length scaling law hold in limited temperature and magnetic field regions. We also found that the breakdown of the scaling laws is due to the emergence of the effective-range term. This work is an important first step toward full understanding of the loss of identical fermions with $p$-wave interactions.