Energy Levels of Three-Particle Muon–Electron Helium in Variational Approach

The muon Lamb shift (2 P –2 S) is calculated in electron–muon helium atom on the basis of stochastic variational method. The basis wave functions of muonic helium are taken in the Gaussian form. The matrix elements of the Hamiltonian are calculated analytically. For numerical calculation a computer code is written in the MATLAB system. The corrections to the nucleus structure, vacuum polarization, relativism and radiative corrections are taken into account by the perturbation theory.