On the Efimov Effect in Higher Partial Waves

TL;DR

This paper investigates the Efimov effect in higher partial waves using effective field theory, deriving analytical formulas and numerical results for atom-dimer scattering and relaxation rates, especially focusing on P-waves.

Contribution

It extends the understanding of the Efimov effect to higher partial waves and provides analytical and numerical tools for analyzing atom-dimer interactions.

Findings

Analytical expressions for scattering cross sections and relaxation rates.

Numerical calculations for P-wave atom-dimer interactions.

Dependence of observables on scattering length, mass ratio, and energy.

Abstract

Using the framework of effective field theory, we present a detailed study of the Efimov effect in higher partial waves for systems of two identical particles and a third distinguishable particle. Depending on the total angular momentum $L$, the two identical particles must be bosons or fermions. We derive analytical expressions for the elastic and inelastic atom-dimer scattering cross sections as well as the atom-dimer relaxation rate at the dimer breakup threshold. For the experimentally most relevant case of P-waves, we numerically calculate the atom-dimer scattering cross sections and relaxation rates as a function of the scattering length, three-body parameter, and mass ratio for energies away from the breakup threshold.