Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect
Mathematical Physics
2024-12-02 v1 math.MP
Abstract
We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane. The third line is constrained to a plane perpendicular to the first one. Recently it was predicted in physics literature that such a system exhibits the so-called confinement induced Efimov effect. We prove that this prediction is not correct by showing that this system has at most finitely many bound-states.
Cite
@article{arxiv.2411.19263,
title = {Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect},
author = {Dirk Hundertmark and Marvin R. Schulz and Semjon Vugalter},
journal= {arXiv preprint arXiv:2411.19263},
year = {2024}
}