Work

D -dimensional three-body bound-state problem with zero-range interactions

Year: 2022

Type: article

Abstract: We solved analytically the three-body mass-imbalanced problem embedded in $D$ dimensions for zero-range resonantly interacting particles. We derived the negative energy eigenstates of the three-body Schr\"odinger equation by imposing the Bethe-Peierls boundary conditions in $D$ dimensions for zero-energy two-body bound states. The solution retrieves the Efimov-like discrete scaling factor dependence with dimension. The analytical form of the mass-imbalanced three-body bound-state wave function can be used to probe the effective dimension of asymmetric cold atomic traps for Feshbach resonances tuned close to the Efimov limit.

Source: Physical Review A

DOI: 10.1103/physreva.106.023311

Authors: D. S. Rosa, T. Frederico, G. Krein, M. T. Yamashita

Institutions: Instituto Tecnológico de Aeronáutica, Universidade Estadual Paulista (Unesp)

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico