D-dimensional three-body bound-state problem with zero range interactions
Atomic Physics
2022-09-07 v1
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.
Cite
@article{arxiv.2209.00575,
title = {D-dimensional three-body bound-state problem with zero range interactions},
author = {D. S. Rosa and T. Frederico and G Krein and M. T. Yamashita},
journal= {arXiv preprint arXiv:2209.00575},
year = {2022}
}