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.

Highlights

  • A mesonic atom is a Coulomb bound system consisting of negatively-charged mesons surrounding a nucleus

  • A study of kaonic deuterium [6,10,11] gives interesting constraint on the isospin dependence of the K N interaction. Encouraged by these results, we investigate whether the physics of exotic atoms can be extended to three-body systems, without assuming that two of them form a nucleus

  • By varying the strength of the short-range term, they studied the level rearrangement of the spectrum, and the transition from atomic to nuclear states. They found that the contributions from long- and short-range potentials to the energy shifts can be factorized within a certain range of the potential strength

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Summary

Introduction

A mesonic atom is a Coulomb bound system consisting of negatively-charged mesons surrounding a nucleus Studying such systems gives access to the properties of the meson-baryon interaction at very low energy [1,2,3,4,5,6,7]. A study of kaonic deuterium [6,10,11] gives interesting constraint on the isospin dependence of the K N interaction Encouraged by these results, we investigate whether the physics of exotic atoms can be extended to three-body systems, without assuming that two of them form a nucleus. By varying the strength of the short-range term, they studied the level rearrangement of the spectrum, and the transition from atomic to nuclear states. Our aim is to extend this study, to consider more realistic cases treated in a more quantitative manner

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