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

Author(s)

Sandoval, J. H. ; Bellotti, F. F. ; Jensen, A. S. ; Yamashita, M. T.

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 94, n. 2, p. 10-pg., 2016-08-31.

Abstract

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)

• FAPESP's process: 16/01816-2 - Dimensional transition in Few-Atom Systems
• Grantee: Marcelo Takeshi Yamashita
• Support Opportunities: Regular Research Grants