Universal noise and Efimov physics

TL;DR

This paper introduces a novel method using probability distributions of correlation functions to determine the spectrum of particles, specifically focusing on universal N-body clusters related to Efimov trimers at unitarity.

Contribution

It proposes a new approach leveraging correlation function distributions to analyze Efimov physics and predicts N-body binding energies analytically based on numerical evidence.

Findings

Distribution of correlation functions is log-normal.

Analytical N-dependence of N-body energies is derived.

Method provides a new tool for studying universal clusters.

Abstract

Probability distributions for correlation functions of particles interacting via random-valued fields are discussed as a novel tool for determining the spectrum of a theory. In particular, this method is used to determine the energies of universal N-body clusters tied to Efimov trimers, for even N, by investigating the distribution of a correlation function of two particles at unitarity. Using numerical evidence that this distribution is log-normal, an analytical prediction for the N-dependence of the N-body binding energies is made.