Virtual levels of multi-particle quantum systems and their implications for the Efimov effect

Semjon A. Vugalter, G. M. Zhislin

Saidakhmat Norzhigitovich Lakaev

A.C.B. Antunes, Vera Lúcia Vieira Baltar, Erasmo M. Ferreira

R. D. Amado, Julian V. Noble

Giulia Basti, Alessandro Teta

Jonathan Rau, Marvin R. Schulz

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.