THE EFIMOV EFFECT - DISCRETE SPECTRUM ASYMPTOTICS

We study a three-particle Schrodinger operator H for which none of the two-particle subsystems has negative bound states and at least two of them have zero energy resonances. We prove that under this condition the number N(z) of bound states of H below z < 0 has the asymptotics N(z) approximately U0\log\z\\ as z --> -0, where the coefficient U0 depends only on the ratio of masses of the particles.