Structure and Occurrence of Three-Body Halos in Two Dimensions

T. Frederico, Marcelo Takeshi Yamashita, Lauro Tomio

T. Frederico, Marcelo Takeshi Yamashita

Esben Nielsen, D. V. Fedorov, A. S. Jensen

A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Borromean systems are shown to exist in two dimensions for a certain class of potentials. An extensive numerical investigation shows that a weakly bound two-body state gives rise to two weakly bound three-body states, a reminiscence of the Efimov effect in three dimensions. The properties of these two states in the weak binding limit turn out to be universal.

Karsten Riisager, D. V. Fedorov, A. S. Jensen

Quantum halos are defined as systems with dominating few-body structure and radii large compared to the sizes of the classically allowed regions. Dimensionless, universal scaling plots of radii vs. binding energies of two- and three-body systems are constructed to characterize and classify halo states. Short-range as well as long-range interactions are considered and molecular, atomic and nuclear states appear on the same plot. Specific two- and three-body systems are discussed, including Efimov states.

Sergio A Albeverio, Pavel Kurasov

Lucas Platter