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Mean-square radii of two-component three-body systems in two spatial dimensions

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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 AUG 31 2016.
Citações Web of Science: 4

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
Linha de fomento: Auxílio à Pesquisa - Regular