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The constraints imposed by symmetry on the open channels of dipositronium hasbeen studied, and the symmetry-adapted lowest open channel of each quantumstate has been identified. Based on this study, the existence of two more 0^+bound states has been theoretically confirmed, and a 0^+ narrow resonance hasbeen predicted. A variational calculation has been performed to evaluate thecritical strength of the repulsive interaction . Two 0^- states are found tohave their critical strengths very close to 1, they are considered ascandidates of new narrow resonances or loosely bound states .Comment: 10 pages, 0 figure

Lowest open channels, bound states, and narrow resonances of dipositronium