Interaction between particles in a 1/$\lambda$-statistics anyon gas

TL;DR

This paper investigates the interactions among anyons in a fractional statistics gas, revealing a short-range attraction that influences the spectral properties of charge-1 particles through an exact three-body analysis.

Contribution

It provides an exact three-body solution demonstrating the short-range attractive interaction between anyons in a 1/λ-statistics gas.

Findings

Anyons exhibit short-range attractive interactions.

Interaction significantly affects the spectral function of charge-1 particles.

Exact three-body solution elucidates particle dynamics.

Abstract

We analyze the dynamics between 1/$\lambda$-fractional statistics particles (anyons) in an exact three-body solution of the Sutherland Hamiltonian. We show that anyons interact by means of a short-range attraction. The interaction dictates important features of the spectral function for a charge-1 particle.