N-body Efimov states from two-particle noise

TL;DR

This paper demonstrates that the ground state energies of universal N-body clusters related to Efimov trimers can be predicted from the statistical distribution of two-particle interactions, which is shown to be log-normal, at the unitary point.

Contribution

It introduces a novel approach linking N-body ground state energies to two-particle noise distributions, providing a predictive framework for Efimov-related clusters.

Findings

Distribution of two-particle interactions is log-normal.

Ground-state energies can be predicted from this distribution.

Numerical evidence supports the theoretical model.

Abstract

The ground state energies of universal N-body clusters tied to Efimov trimers, for N even, are shown to be encapsulated in the statistical distribution of two particles interacting with a background auxiliary field at large Euclidean time when the interaction is tuned to the unitary point. Numerical evidence that this distribution is log-normal is presented, allowing one to predict the ground-state energies of the N-body system.