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Nuclear Theory
Title: Universality for Three Bosons with Large, Negative Effective Range: Aspects and Addenda
(Submitted on 27 Jan 2024 (v1), last revised 30 Apr 2024 (this version, v2))
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 $r_0$ large in magnitude but negative. Its leading order is non-perturbative, and its observables depend only on the dimensionless ratio $\xi:=2r_0/a$ once $|r_0|$ 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 $0.366\ldots\ge\xi\ge-8.72\ldots$, and excited states display self-similarity and Discrete Scale Invariance, with small corrections for nonzero $r_0$.
Submission history
From: Harald W. Griesshammer [view email][v1] Sat, 27 Jan 2024 12:51:55 GMT (1090kb,D)
[v2] Tue, 30 Apr 2024 15:06:12 GMT (1091kb,D)
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