Universal physics of 2+1 particles with non-zero angular momentum
Shimpei Endo, Pascal Naidon, and Masahito Ueda
TL;DR
This paper investigates the universal scattering properties of a particle and a dimer with non-zero angular momentum, deriving a generalized integral equation and identifying resonances related to universal and Efimov trimers.
Contribution
It introduces a generalized integral equation for non-zero angular momentum scattering and explores universal behaviors and resonances across different mass ratios.
Findings
Identification of scattering resonances linked to universal trimers.
Discovery of Efimov trimers at the collisional threshold.
Generalization of the Skorniakov - Ter-Martirosian equation for angular momentum.
Abstract
The zero-energy universal properties of scattering between a particle and a dimer that involves an identical particle are investigated for arbitrary scattering angular momenta. For this purpose, we derive an integral equation that generalises the Skorniakov - Ter-Martirosian equation to the case of non-zero angular momentum. As the mass ratio between the particles is varied, we find various scattering resonances that can be attributed to the appearance of universal trimers and Efimov trimers at the collisional threshold.
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