Three-body correlations in mesonic-atom-like systems

TL;DR

This paper investigates three-body correlations in exotic atomic systems using simple models, comparing precise calculations with approximate formulas to identify regimes where three-body effects are significant.

Contribution

It introduces a comparative analysis of three-body correlations using simple models and assesses the validity of the Deser-Trueman formula in different interaction regimes.

Findings

Three-body correlations become significant at certain interaction strengths.

The Deser-Trueman formula accurately predicts energy shifts when two-body correlations dominate.

Three-body effects cannot be neglected in specific parameter ranges.

Abstract

Three-body correlations in three-body exotic atoms are studied with simple models that consist of three bosons interacting through a superposition of long- and short-range potentials. We discuss the correlations among particles by comparing the energy shifts given by precise three-body calculations and by the Deser-Trueman formula, in which the long- and short-range contributions are factorized. By varying the coupling of the short-range potential, we evaluate the ranges of the strength where the two-body correlations dominate and where the three-body correlations cannot be neglected.