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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/2405.04035 |
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| _version_ | 1866911983551381504 |
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| author | Givois, J. Petrov, D. S. |
| author_facet | Givois, J. Petrov, D. S. |
| contents | By developing the mean-field theory valid for large $N$, we investigate the problem of two light fermions interacting via a zero-range potential with $N$ heavy fermions in two dimensions. We obtain numerical evidence that this system is never fully bound. It always splits into droplets containing a single light atom. This is in contrast to the one-dimensional case where any number of heavy and light fermions can be bound together. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04035 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absence of binding of heavy fermions by two light atoms in two dimensions Givois, J. Petrov, D. S. Quantum Gases Nuclear Theory By developing the mean-field theory valid for large $N$, we investigate the problem of two light fermions interacting via a zero-range potential with $N$ heavy fermions in two dimensions. We obtain numerical evidence that this system is never fully bound. It always splits into droplets containing a single light atom. This is in contrast to the one-dimensional case where any number of heavy and light fermions can be bound together. |
| title | Absence of binding of heavy fermions by two light atoms in two dimensions |
| topic | Quantum Gases Nuclear Theory |
| url | https://arxiv.org/abs/2405.04035 |