Year: 2026
Type: preprint
Abstract: We prove that the Schrödinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body subsystem has a virtual level at zero energy. Our result establishes an analog of the Efimov effect for such four-particle systems in two dimensions.
Source: arXiv (Cornell University)
Authors: Rau, Jonathan, Schulz, Marvin R.
Institutions: Karlsruhe Institute of Technology, University of Copenhagen
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7127987976