Calculations of the binding energies of weakly bound He–He–H, He–He–H− and He–H–H molecules

We searched for the existence of weakly bound He–He–H, He–He–H− and He–H– H molecules where the binding energies are expected to be of the order of degrees Kelvin. By employing the best empirical interaction between each pair of particles, we solved the Schrödinger equation for the triatomic systems using hyperspherical coordinates in the adiabatic approximation. We found no bound states for 4He–4He–1H, three bound states for 4He–4He–1H− and one bound state for 4He–1H–1H. Bound states for other isotope combinations are also examined.