Planar three-body bound states induced by $p$-wave interatomic resonance

TL;DR

This paper investigates three-body bound states in a two-dimensional system with a light particle and two heavy bosons, where a $p$-wave resonance induces interactions, leading to a Coulomb-like energy spectrum with a Gaussian cutoff.

Contribution

It introduces a novel analysis of planar three-body bound states induced by $p$-wave resonance, applying the Born-Oppenheimer approximation to predict their energy spectrum.

Findings

Prediction of Coulomb energy spectrum with Gaussian cutoff

Identification of $p$-wave resonance as a mechanism for binding

Application of Born-Oppenheimer approximation to a 2D three-body system

Abstract

We consider the bound states of a system consisting of a light particle and two heavy bosonic ones, which are restricted in their quantum mechanical motion to two space dimensions. A $p$-wave resonance in the heavy-light short-range potential establishes the interaction between the two heavy particles. Due to the large ratio of the atomic masses this planar three-body system is perfectly suited for the Born-Oppenheimer approximation which predicts a Coulomb energy spectrum with a Gaussian cut-off.