Few-body model approach to the bound states of helium-like exotic three-body systems

Abstract

In this paper, calculated energies of the lowest bound S-state of Coulomb three-body systems containing an electron (e—), a negatively charged muon (μ—) and a nucleus (NZ+) of charge number Z are reported. The 3-body relative wave function in the resulting Schrödinger equation is expanded in the complete set of hyperspherical harmonics (HH). Use of the orthonormality of HH leads to an infinite set of coupled differential equations (CDE) which are solved numerically to get the energy E.