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Nuclear Theory

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

Authors: Harald W. Griesshammer (George Washington U.)
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 $r_0$.
Comments: 10 pages LaTeX2e (pdflatex) including 6 figures as 7 .pdf files using includegraphics and sn-jnl class. Contribution to the Proceedings of the 25th European Conference of Few-Body Physics, Mainz, 30 July - 4 August 2023. Typographical updates only
Subjects: Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); Atomic and Molecular Clusters (physics.atm-clus); Atomic Physics (physics.atom-ph); Quantum Physics (quant-ph)
Cite as: arXiv:2401.15402 [nucl-th]
  (or arXiv:2401.15402v2 [nucl-th] for this version)

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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