The charge- symmetric pseudo nucleus pd\mu is formed via the inelastic
scattering of muonic atom d\mu (1s) in the cascade processes in the muon
catalyzed fusion. The nuclear fusion in pd\mu ion can be considered in the photon field. This radial wave function is obtained versus a vibrational
quantum number. The boundary conditions are good satisfied in our
calculations. The radiative pd fusion rates for the two spin states in the pd
muonic molecule are found to be close to experimental data. It is necessary to mention that we have
recently considered the formation of the symmetric and nonsymmetric
pseudo nucleuses in the interactions of the exited muonic atoms with the
media including hydrogen isotopes.