The Efimov effect of three-body Schrödinger operators (Q1174988)

The author considers three-body Schrödinger operators, with pair potentials decaying at infinity like \(| x|^{-\rho}\) with \(\rho>2\). Assuming that all two-particles subsystems have no negative bound states but a zero resonance energy, it is proved that the whole system has an infinite number of negative bound states energies, accumulating at zero (Efimov effect).