Interaction of positrons with hydrogenlike atomic systems in hyperspherical approach

Within hyperspherical adiabatic approach in one-dimensional space calculations of energies were performed for the main and lower autoionising excitations in triplet states for three-particle systems in positron interactions with atomic systems H, He⁺ and Li²⁺ were performed. It was shown that only for the (е⁺Н) systems bond energy is under the ionization threshold of the hydrogen atom. In other cases, the energy of the ground state lays above the ionization threshold of the appropriate system. Existence of resonance quantum states, which coincide to the resonance levels of the system was found

positron, mixing configurations, autoionization states, boundary value problems, Jacobi relative variables, affinity energy