Deck model calculation of $pi$$sup -$p $Yields$ $pi$$sup -$$pi$$sup +$$pi$$sup -$p

Abstract

A Deck-like model for the reaction pi /sup -/p yields pi /sup -/ pi / sup +/ pi /sup -/p is formulated and studied. The model differs from previous Deck calculations in two respects: i) experimental data are used for both pi pi and pi N scattering, and ii) the amplitude has proper Bose symmetry. Feature i) allows one to examine any desired region of 3 pi mass (the A/sub 3/ is treated on the same footing as the A/sub 1/); features i) and ii) allow one to examine all the angular dependence in the final state and to compare with partinl wave analyses of experimental data. The results of a study are presented in which events generated from the model by a Monte Carlo method are plotted and fit in the same way as experimental events. Many of the features of the data are qualitatively reproduced including certain important properties obtained from the partial wave analysis in the A/sub 1/ region. The A/sub 3/ region is not accurately representcd by the model. (auth)