Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.10792 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911778467741696 |
|---|---|
| author | frederico, Tobias Francisco, Rafael Mendes Rosa, Dérick dos Santos Krein, Gastão Inácio Yamashita, Marcelo Takeshi |
| author_facet | frederico, Tobias Francisco, Rafael Mendes Rosa, Dérick dos Santos Krein, Gastão Inácio Yamashita, Marcelo Takeshi |
| contents | We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions $(D)$, we discuss the effective potential of the heavy-particles Schrodinger equation. We study how including the two-body energy in the effective potential changes the light-particles wave function and the ratio between successive Efimov states. We present the limit cycles associated with correlation between the energy of successive levels for the three and four-body systems. Our study is exemplified by considering a system composed of $N$-bosons, namely two Rubidium atoms interacting with $N-2$ Lithium ones ($^7$Li$_{N-2}-^{87}$Rb$_2$), which represent compounds of current experimental interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10792 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete scaling in non-integer dimensions frederico, Tobias Francisco, Rafael Mendes Rosa, Dérick dos Santos Krein, Gastão Inácio Yamashita, Marcelo Takeshi Atomic Physics We explore the effect of a finite two-body energy in the discrete scale symmetry regime of two heavy bosonic impurities immersed in a light bosonic system. By means of the Born-Oppenheimer approximation in non-integer dimensions $(D)$, we discuss the effective potential of the heavy-particles Schrodinger equation. We study how including the two-body energy in the effective potential changes the light-particles wave function and the ratio between successive Efimov states. We present the limit cycles associated with correlation between the energy of successive levels for the three and four-body systems. Our study is exemplified by considering a system composed of $N$-bosons, namely two Rubidium atoms interacting with $N-2$ Lithium ones ($^7$Li$_{N-2}-^{87}$Rb$_2$), which represent compounds of current experimental interest. |
| title | Discrete scaling in non-integer dimensions |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2402.10792 |