Efimov Trimers : Analytic Solution Via Separable Potentials

TL;DR

This paper derives an exact equation for Efimov trimers using Yamaguchi separable potentials, providing a clear analytic solution that addresses previous non-uniqueness issues in zero-range models.

Contribution

It introduces an exact dynamical equation for Efimov trimers using separable potentials, overcoming non-uniqueness problems of zero-range approaches.

Findings

Derived an exact equation for Efimov trimers

Overcame non-uniqueness in zero-range potential models

Resembles recent equations by Gogolin et al.

Abstract

The exact dynamical equation for Efimov trimers in the short range limit of dimer resonances is derived via Yamaguchi separable potentials. This equation which overcomes the non-uniqueness problem of zero-range potentials, closely resembles one derived recently by Gogolin et al, with no further assumptions, and hence enjoys all the benefits of the latter results.