تقرير
General features and contact modeling of $N$-body isolated resonances near threshold
| العنوان: | General features and contact modeling of $N$-body isolated resonances near threshold |
|---|---|
| المؤلفون: | Pricoupenko, Ludovic |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter Nuclear Theory |
| مصطلحات موضوعية: | Condensed Matter - Quantum Gases, Nuclear Theory |
| الوصف: | $N$-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. Comment: 19 pages, 4 figures ; integration of an appendix in the main text; demonstration of the invariance of the modified scalar product in a reparameterization of the contact model added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.18372 |
| رقم الأكسشن: | edsarx.2311.18372 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |