Universality of Three Identical Bosons with Large, Negative Effective Range

"Resummed-Range Effective Field Theory'' is a consistent nonrelativistic effective field theory of contact interactions with large scattering length \(a\) and an effective range \(r_0\) large in magnitude but negative. Its leading order is non-perturbative. Its observables are univers...

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Bibliographic Details
Published in:arXiv.org 2023-12
Main Authors: Griesshammer, Harald W, Ubirajara van Kolck
Format: Article
Language:English
Subjects:
Bosons
Excitation
Field theory
Ground state
Mesons
Scale invariance
Scattering
Online Access:Get full text
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Summary:"Resummed-Range Effective Field Theory'' is a consistent nonrelativistic effective field theory of contact interactions with large scattering length \(a\) and an effective range \(r_0\) large in magnitude but negative. Its leading order is non-perturbative. Its observables are universal, i.e.~they depend only on the dimensionless ratio \(\xi:=2r_0/a\), with the overall distance scale set by \(|r_0|\). In the two-body sector, the position of the two shallow \(S\)-wave poles in the complex plane is determined by \(\xi\). We investigate three identical bosons at leading order for a two-body system with one bound and one virtual state (\(\xi\le0\)), or with two virtual states (\(0\le\xi
ISSN:2331-8422