Resonant Structure of $τ\to 3ππ^{0}ν_τ$ and $τ\to ωπν_τ$ Decays

The resonant structure of the four pion final state in the decay $τ\to 3ππ^0ν_τ$ is analyzed using 4.27 million $τ^+τ^-$ pairs collected by the CLEO II experiment. We search for second class currents in the decay $τ\to ωπν_τ$ using spin-parity analysis and establish an upper limit on the non-vector current contribution. The mass and width of the $ρ'$ resonance are extracted from a fit to the $τ\to ωπν_τ$ spectral function. A partial wave analysis of the resonant structure of the $τ\to 3ππ^0ν_τ$ decay is performed; the spectral decomposition of the four pion system is dominated by the $ωπ$ and $a_1 π$ final states.

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