Theoretical study of dynamic behavior of exotic atoms

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X-ray spectrum due to the deexcitation of a muonic molecule palphamu with total angular momentum J=1 composed of ^4He, ^1H (and its isotopes), and a muon was investigated. It was shown that there is a small second peak in the spectrum of palphamu and the life time of the muonic molecules is three times longer than that determined by a previous calculation. We found 11 resonant states with J=0 and 12 with J=1 for (ddmu)^+, and 9 states with J=0 and 10 with J=1 for (dtmu)^+. Some of the resonant energies, relative to the n=2 level of the muonic atoms, are less than than the dissociation energy of D_2, and therefore these states may play some role in muon-catalyzed fusion. Using the hyperradial adiabatic expansion method, dmu + t collisions are studied at thermal energies. Reasonable agreement with a previous calculation by the distorted-atomic-orbital method was obtained. The formation rate of a complex muonic molecule[(dtmu)dee] was calculated using the Jacobi coordinate system that satisfies the correct asymptotic boundary conditions. The obtained rate is larger than a previous calculation by one order of magnitude and agrees with the experiment. The cross sections for positronium formation were calculated by means of the TCDW method and the second Born approximation.