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Autoionizing state of positronium molecules.

The method of complex-coordinate rotation is applied to investigate autoionization states of positronium molecules. Using elaborate Hylleraas-type wave functions in which all six interparticle coordinates are used, resonance parameters for the lowest S-wave resonant state are predicted for the first time. The resonant energy, measured in positronium-atom--positronium-atom scattering, and resonance width are determined as 4.28 eV and 0.11 eV, respectively.