Discrete and continuous scale invariance in the quantum few-body problem
Dimensional aspects in few-body physics and applications in light exotic nuclei
Transport properties and bifurcation analysis in nonlinear dynamical systems
| Full text | |
| Author(s): |
Shalchi, M. A.
;
Yamashita, M. T.
;
Hadizadeh, M. R.
;
Garrido, E.
;
Tomio, Lauro
;
Frederico, T.
Total Authors: 6
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW A; v. 97, n. 1, p. 6-pg., 2018-01-05. |
| Abstract | |
The discrete Efimov scaling behavior, well known in the low-energy spectrum of three-body bound systems for large scattering lengths (unitary limit), is identified in the energy dependence of an atom-molecule elastic cross section in mass-imbalanced systems. That happens in the collision of a heavy atom with mass m(H) with a weakly bound dimer formed by the heavy atom and a lighter one with mass m(L) << m(H). Approaching the heavy-light unitary limit, the s-wave elastic cross section sigma will present a sequence of zeros or minima at collision energies following closely the Efimov geometrical law. Our results, obtained with Faddeev calculations and supplemented by a Born-Oppenheimer analysis, open a perspective to detecting the discrete scaling behavior from low-energy scattering data, which is timely in view of the ongoing experiments with ultracold binary mixtures having strong mass asymmetries, such as lithium and cesium or lithium and ytterbium. (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 |