Abstract :
When three particles interact via zero-range potentials it is possible to find some exact solutions of the three-body Schrödinger equation for infinite scattering lengths. For s-wave interactions the exact solutions correspond to the famous Efimov states. Similar exact solutions for two-body zero-range potentials with ℓ=1 are considered in this manuscript. Efimov states emerge in the limit as a1→∞. We also report exact solutions for ℓ=0 with a0≠0.