Resonant Structure of $\ddot{I}„\to 3\ddot{I}€\ddot{I}{€}^0\hat{I}{½}_{\ddot{I}}„$ and $\ddot{I}„\to \ddot{I}‰\ddot{I}€\hat{I}{½}_{\ddot{I}}„$ Decays

Abstract

The resonant structure of the four pion final state in the decay $\ddot{I}„\to 3\ddot{I}€\ddot{I}{€}^0\hat{I}{½}_{\ddot{I}}„$ is analyzed using 4.27 million $\ddot{I}{„}^{+}\ddot{I}{„}^{-}$ pairs collected by the CLEO II experiment. We search for second class currents in the decay $\ddot{I}„\to \ddot{I}‰\ddot{I}€\hat{I}{½}_{\ddot{I}}„$ using spin-parity analysis and establish an upper limit on the non-vector current contribution. The mass and width of the $\ddot{I}{}^{\prime }$ resonance are extracted from a fit to the $\ddot{I}„\to \ddot{I}‰\ddot{I}€\hat{I}{½}_{\ddot{I}}„$ spectral function. A partial wave analysis of the resonant structure of the $\ddot{I}„\to 3\ddot{I}€\ddot{I}{€}^0\hat{I}{½}_{\ddot{I}}„$ decay is performed; the spectral decomposition of the four pion system is dominated by the $\ddot{I}‰\ddot{I}€$ and $a_1\ddot{I}€$ final states.

34 pages postscript, also available through http://w4.lns.cornell.edu/public/CLNS