Resonant two-cluster scattering in a quasi-one-dimensional Bose gas
Quantum Gases
2026-05-19 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.2603.28250,
title = {Resonant two-cluster scattering in a quasi-one-dimensional Bose gas},
author = {Tomohiro Tanaka and Yusuke Nishida},
journal= {arXiv preprint arXiv:2603.28250},
year = {2026}
}
Comments
8 pages, 1 figure, 1 table