A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer Approximation
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866918311762067456 |
|---|---|
| author | Basti, G. Ferretti, D. Teta, A. |
| author_facet | Basti, G. Ferretti, D. Teta, A. |
| contents | In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different lighter particle such that the interaction between a boson and the light particle is resonant. We also assume the validity of the Born-Oppenheimer approximation. Under these conditions, we show that the three-particle system exhibits infinitely many negative eigenvalues which accumulate at zero and satisfy the universal geometrical law characterising the Efimov effect. The result we find is a generalisation of previous results recently obtained in [13, 24]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_20762 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer Approximation Basti, G. Ferretti, D. Teta, A. Mathematical Physics Quantum Physics 81Q10, 35P20, 35Q40, 47B25 In this note we discuss the Efimov effect emerging in a three-particle quantum system with zero-range interactions. In particular, we consider two non-interacting identical bosons plus a different lighter particle such that the interaction between a boson and the light particle is resonant. We also assume the validity of the Born-Oppenheimer approximation. Under these conditions, we show that the three-particle system exhibits infinitely many negative eigenvalues which accumulate at zero and satisfy the universal geometrical law characterising the Efimov effect. The result we find is a generalisation of previous results recently obtained in [13, 24]. |
| title | A Zero-Range Model for the Efimov Effect in the Born-Oppenheimer Approximation |
| topic | Mathematical Physics Quantum Physics 81Q10, 35P20, 35Q40, 47B25 |
| url | https://arxiv.org/abs/2601.20762 |