Coriolis Coupling in Exotic Three-Body Coulomb Systems

Our approach provides high precision spectroscopic calculations and general formalism for the quantum description of three-body Coulomb systems. We seek the exact solutions of the 6D Schrödinger equation. For this we propose a new algorithm for the case of nonzero total angular momentum, taking into account the overall rotation of the system which is affected indirectly by the Coriolis coupling. The robustness, efficiency, and accuracy of the adopted algorithm are studied in detail. We employ Discrete Variable Representation (DVR) and construct a special set of hyperspherical harmonics which provides much more flexibility in choosing the best basis for the needs of this particular physical problem. The method is applied to the computation of the nonrelativistic energy levels of the exotic meta-stable antiprotonic helium.