| Texto completo | |
| Autor(es): |
Sandoval, J. H.
;
Bellotti, F. F.
;
Jensen, A. S.
;
Yamashita, M. T.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PHYSICAL REVIEW A; v. 94, n. 2, p. 10-pg., 2016-08-31. |
| Resumo | |
We calculate root-mean-square radii for a three-body system confined to two spatial dimensions and consisting of two identical bosons (A) and one distinguishable particle (B). We use zero-range two-body interactions between each of the pairs, and focus thereby directly on universal properties. We solve the Faddeev equations in momentum space and express the mean-square radii in terms of first-order derivatives of the Fourier transforms of densities. The strengths of the interactions are adjusted for each set of masses to produce equal two-body bound-state energies between different pairs. The mass ratio, A = m(B)/m(A), between particles B and A are varied from 0.01 to 100, providing a number of bound states decreasing from 8 to 2. Energies and mean-square radii of these states are analyzed for small A by use of the Born-Oppenheimer potential between the two heavy A particles. For large A the radii of the two bound states are consistent with a slightly asymmetric three-body structure. When A approaches thresholds for binding of the three-body excited states, the corresponding mean-square radii diverge inversely proportional to the deviation of the three-body energy from the two-body thresholds. The structures at these three-body thresholds correspond to bound AB dimers and one loosely bound A particle. (AU) | |
| Processo FAPESP: | 16/01816-2 - Transição Dimensional em Sistemas de Poucos Átomos |
| Beneficiário: | Marcelo Takeshi Yamashita |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |