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

Author(s)

Rosa, D. S. ; Frederico, T. ; Krein, G. ; Yamashita, M. T.

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 106, n. 2, p. 5-pg., 2022-08-16.

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 Schrodinger 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. (AU)

• FAPESP's process: 20/00560-0 - Dimensional aspects of few-body physics
• Grantee: Dérick dos Santos Rosa
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 19/00153-8 - Dimensional effects in few-body physics in a many-body environment
• Grantee: Marcelo Takeshi Yamashita
• Support Opportunities: Regular Research Grants
• FAPESP's process: 18/25225-9 - São Paulo Research and Analysis Center
• Grantee: Sergio Ferraz Novaes
• Support Opportunities: Special Projects
• FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
• Grantee: Brett Vern Carlson
• Support Opportunities: Research Projects - Thematic Grants