Muon potential in the muonic atom with accounting nonaxial nuclear deformation

The work is aimed at calculating the potential muon energy V(r) in the non-axially deformed nucleus field, necessary for determining the energy of muon levels in the muonic atom. Accounting for nucleus nonaxiality effects in heavy muonic atoms effects sufficiently the position of muon energy levels shifting some of them by dozens of keV and changing sometimes their sequence. The calculation method applied allows one to take account of nucleus deformation parameters of a higher order than β2 (e.g. hexadecapole deformation β4 parameter) if necessary when calculating V(r)