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

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.

References in corpus (9)

• Observation of an Efimov spectrum in an atomic system
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Efimov Physics in Cold Atoms
• Universal Relations for Identical Bosons from 3-Body Physics
• Universal Fermi gases in mixed dimensions
• Single-Particle Momentum Distribution of an Efimov trimer
• Efimov States of Strongly Interacting Photons
• Weakly bound states of two- and three-boson systems in the crossover from two to three dimension
• Three identical bosons: Properties in non-integer dimensions and in external fields