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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19263 |
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| _version_ | 1866915039650250752 |
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| author | Hundertmark, Dirk Schulz, Marvin R. Vugalter, Semjon |
| author_facet | Hundertmark, Dirk Schulz, Marvin R. Vugalter, Semjon |
| contents | We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane. The third line is constrained to a plane perpendicular to the first one. Recently it was predicted in physics literature that such a system exhibits the so-called confinement induced Efimov effect. We prove that this prediction is not correct by showing that this system has at most finitely many bound-states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19263 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect Hundertmark, Dirk Schulz, Marvin R. Vugalter, Semjon Mathematical Physics We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane. The third line is constrained to a plane perpendicular to the first one. Recently it was predicted in physics literature that such a system exhibits the so-called confinement induced Efimov effect. We prove that this prediction is not correct by showing that this system has at most finitely many bound-states. |
| title | Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2411.19263 |