Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda

2024/01/27 by Harald W. Grießhammer, Griesshammer, Harald W.
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Atomic and Molecular Clusters (physics.atm-clus) #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2401.15402

openalex publication_date 2024/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Resummed-Range Effective Field Theory is the consistent non-relativistic Effective Field Theory of point interactions in systems with large two-body scattering length a and an effective range r₀ large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio ξ:=2r₀/a once |r₀| is chosen as base unit. This presentation highlights aspects for three identical spinless bosons and adds details to a previous discussion [1]. At leading order, no three-body interaction is needed. A ground state exists only in the range 0.366…≥ξ≥-8.72…, and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero r₀.

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