| Full text | |
| Author(s): |
Frederico, T.
;
Francisco, R. M.
;
Rosa, D. S.
;
Krein, G.
;
Yamashita, M. T.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | FEW-BODY SYSTEMS; v. 65, n. 2, p. 10-pg., 2024-03-19. |
| Abstract | |
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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$<^>7$$\end{document}LiN-2-87\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_{N-2}{-}<^>{87}$$\end{document}Rb2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$_2$$\end{document}), which represent compounds of current experimental interest. (AU) | |
| FAPESP's process: | 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems |
| Grantee: | Brett Vern Carlson |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 23/08600-9 - Discrete and continuous scale invariance in the quantum few-body problem |
| Grantee: | Rafael Mendes Francisco |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei |
| Grantee: | Leandro Romero Gasques |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 23/02261-8 - Dimensional aspects in few-body physics and applications in light exotic nuclei |
| Grantee: | Dérick dos Santos Rosa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/25225-9 - São Paulo Research and Analysis Center |
| Grantee: | Sergio Ferraz Novaes |
| Support Opportunities: | Special Projects |