# Quantitative analysis of $p$-wave three-body losses via cascade process

## TL;DR

This paper develops a rate equation model to analyze three-body losses in $p$-wave interacting fermions, explaining experimental results and extending to two-dimensional traps, revealing a proportionality to the scattering area.

## Contribution

It introduces a theoretical rate equation model for $p$-wave three-body losses and verifies it experimentally in both 3D and 2D systems, including the weakly interacting regime.

## Key findings

- The model explains experimental data above the universal scaling law.
- In 2D traps, the loss coefficient scales with the cube of the scattering area.
- The theoretical predictions match experimental results in both 3D and 2D configurations.

## Abstract

We describe the three-body loss coefficient of identical fermions with $p$-wave interactions using a set of rate equations in which three-body recombination happens via an indirect process. Our theoretical treatment explains experimental results just above the universal scaling law regime of weak interactions. Furthermore, we theoretically extend and experimentally verify the rate equation model for the case of atoms trapped in two dimensions. Moreover, we find that the three-body loss coefficient in a two-dimensional trap is proportional to $A_{p}^{3}$ in the weakly interacting regime, where $A_{p}$ is the scattering area. Our results are useful in understanding three-body physics with $p$-wave interactions.