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In this paper, calculated energies of the lowest bound state of Coulombthree-body systems containing an electron ($e^-$), a negatively charged muon($\mu^-$) and a nucleus ($N^{Z+}$) of charge number Z are reported. The 3-bodyrelative wave function in the resulting Schr\"odinger equation is expanded inthe complete set of hyperspherical harmonics (HH). Use of the orthonormality ofHH leads to an infinite set of coupled differential equations (CDE) which aresolved numerically to get the energy E.

Numerical approach to the lowest bound state of muonic three-body systems