Resonant two-cluster scattering in a quasi-one-dimensional Bose gas
Tomohiro Tanaka, Yusuke Nishida
TL;DR
This paper studies how transverse confinement induces effective three-body interactions in a quasi-one-dimensional Bose gas, revealing a resonance in two-cluster scattering through theoretical analysis.
Contribution
It introduces a method to analyze three-body interactions and identifies a scattering resonance in a quasi-one-dimensional Bose gas using the Lüscher formula.
Findings
Finite and positive scattering length for elastic two-cluster scattering
Identification of a scattering resonance due to confinement effects
Application of the Lüscher formula to a Bose gas system
Abstract
We investigate two-cluster scattering in a quasi-one-dimensional Bose gas. We focus on the effective three-body interaction induced by transverse confinement, which is the leading term for breaking integrability in the quasi-one-dimensional setting. Exploiting the L\"uscher formula and the integrability of the Lieb-Liniger Bose gas, we find a finite and positive scattering length for elastic two-cluster scattering. The resulting scattering lengths indicate the emergence of a resonance.
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