Resonant two-cluster scattering in a quasi-one-dimensional Bose gas
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916019661963264 |
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| author | Tanaka, Tomohiro Nishida, Yusuke |
| author_facet | Tanaka, Tomohiro Nishida, Yusuke |
| contents | 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 Lüscher 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28250 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Resonant two-cluster scattering in a quasi-one-dimensional Bose gas Tanaka, Tomohiro Nishida, Yusuke Quantum Gases Statistical Mechanics 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 Lüscher 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. |
| title | Resonant two-cluster scattering in a quasi-one-dimensional Bose gas |
| topic | Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2603.28250 |