The Efimov's effect for a model of a three particle discrete Shr\"odinger operator

TL;DR

This paper investigates the existence of infinitely many eigenvalues in a three-particle discrete Schrödinger operator model, contributing to the understanding of spectral properties in quantum many-body systems.

Contribution

It demonstrates the conditions under which an infinite number of eigenvalues exist for the specified three-particle discrete Schrödinger operator.

Findings

Existence of infinitely many eigenvalues established

Conditions for eigenvalue accumulation identified

Spectral properties of the model clarified

Abstract

In the paper we study existance of infinitly many egenvalues for a model of a three particle discrete Shr\"odinger operator.