General features and contact modeling of $N$-body isolated resonances near threshold
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910637988249600 |
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| author | Pricoupenko, Ludovic |
| author_facet | Pricoupenko, Ludovic |
| contents | $N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the effective range approximation. This two-parameter description can be used in various contexts from ultra-cold to hadronic physics. The universal character of these states makes it possible a formulation in terms of a contact model. The singularity at the contact imposes the introduction of a modified scalar product to solve the normalization catastrophe and to restore the self-adjoint character of the model. An equivalence with the standard scalar product used for realistic finite range models is derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18372 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | General features and contact modeling of $N$-body isolated resonances near threshold Pricoupenko, Ludovic Quantum Gases Nuclear Theory $N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the effective range approximation. This two-parameter description can be used in various contexts from ultra-cold to hadronic physics. The universal character of these states makes it possible a formulation in terms of a contact model. The singularity at the contact imposes the introduction of a modified scalar product to solve the normalization catastrophe and to restore the self-adjoint character of the model. An equivalence with the standard scalar product used for realistic finite range models is derived. |
| title | General features and contact modeling of $N$-body isolated resonances near threshold |
| topic | Quantum Gases Nuclear Theory |
| url | https://arxiv.org/abs/2311.18372 |