Abstract
We explore the three-body problem in two dimensions using the adiabatic hyperspherical representation. We develop the main equations in terms of democratic hyperangular coordinates and determine several symmetry properties and boundary conditions for both interacting and noninteracting solutions. From the analysis of the three-body effective potentials, we determine the threshold laws for low-energy three-body recombination, collision-induced dissociation, as well as inelastic atom-diatom collisions in two dimensions. Our results show that the hyperspherical representation can offer a simple and conceptually clear physical picture for three-body process in two dimensions which is also suitable for calculations using finite-range two-body interactions supporting a number of bound states.
| Original language | English |
|---|---|
| Article number | 042707 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 90 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 16 2014 |
ASJC Scopus Subject Areas
- Atomic and Molecular Physics, and Optics
Fingerprint
Dive into the research topics of 'Adiabatic hyperspherical representation for the three-body problem in two dimensions'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS