Universality in few-body systems in two and three dimensions
Dimensional aspects in few-body physics and applications in light exotic nuclei
Discrete and continuous scale invariance in the quantum few-body problem
| Full text | |
| Author(s): |
Rosa, D. S.
;
Frederico, T.
;
Krein, G.
;
Yamashita, M. T.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW A; v. 97, n. 5, p. 5-pg., 2018-05-11. |
| Abstract | |
The existence of the Efimov effect is drastically affected by the dimensionality of the space in which the system is embedded. The effective spatial dimension containing an atomic cloud can be continuously modified by compressing it in one or two directions. In the present Rapid Communication we determine the dimensionality D for which the Efimov effect can exist for different values of the mass ratio A = m(B)/m(A) for a general AAB system formed by two identical bosons A and a third particle B in the two-body unitary limit. In addition, we provide a prediction for the Efimov discrete scaling factor exp(pi/s) as a function of a wide range of values of A and D, which can be tested in experiments that can be realized with currently available technology. (AU) | |
| FAPESP's process: | 16/01816-2 - Dimensional transition in Few-Atom Systems |
| Grantee: | Marcelo Takeshi Yamashita |
| Support Opportunities: | Regular Research Grants |
| 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: | 13/01907-0 - São Paulo Research and Analysis Center |
| Grantee: | Sergio Ferraz Novaes |
| Support Opportunities: | Research Projects - Thematic Grants |