FINE AND QUADRUPOLE STRUCTURE OF THE WEAKLY-BOUND SYSTEMS (DT-MU)(11)DEE AND (DD-MU)(11)DEE

The interaction of the quadrupole electric moment of the muonic molecu les with the Coulomb field of the embedding D-2 molecule gives rise to corrections to the energy levels that depend on the spin and signific antly modify the muonic molecule fine structure. We present the first- order calculation of the fine and hyperfine structure of the energy le vels of the weakly bound states (dt mu)(11) and (dd mu)(11) that accou nts for the quadrupole finite-size corrections as well, The repot ted results are of interest for the upcoming high-precision measurement of the energy levels and the formation rate of the muonic molecules dt m u, and dd mu.