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Study of the Decay tau^- \to 2pi^- pi^+ 3pi^0 nu_{tau}$

The decay tau- -> 2pi- pi+ 3pi0 nu_tau has been studied with the CLEO II detector at the Cornell Electron Storage Ring (CESR). The branching fraction is measured to be (2.85 +/- 0.56 +/- 0.51) x 10^(-4). The result is in good agreement with the isospin expectation but somewhat below the Conserved-Vector-Current (CVC) prediction. We have searched for resonance substructure in the decay. Within the statistical precision, the decay is saturated by the channels tau- -> pi- 2pi0 omega nu_tau, 2pi- pi+ eta nu_tau, and pi- 2pi0 eta nu_tau. This is the first observation of this omega decay mode and the branching fraction is measured to be (1.89 +0.74/-0.67 +/- 0.40) x 10^(-4).