A modified Einsteinndash;Kellerndash;Maslov quantization, based on a quasihyphen;onehyphen;particle model has been applied in calculating resonance energy levels for a heavy chargeZplus electron and positron systems. The method starts with the strict correlation plane configuration and then allows for the vibrational modes excitation. Calculations have been carried out for lsqb;H;e+rsqb; and lsqb;He+;e+rsqb; transient systems, and series of autoionizing levels are obtained. Possible improvements of the method as well as further extensions to other fewhyphen;particle systems are considered, too.
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