Study of the ReactionK+p→π+pK0at 12 GeV/cand a Test of the Generalized Veneziano Model at 4.6, 9, and 12 GeV/c

We present data on the reaction $K^{+}p\to {\pi }^{+}p{K}^0$ at 12 GeV/c, and we present a study of the generalized Veneziano model at 4.6, 9, and 12 GeV/c. We have studied the $K^0{\pi }^{+}$ mass spectrum and found that in addition to the $K^{*}\mathrm{}\left(890\right)\mathrm{}$ and $K^{*}\mathrm{}\left(1420\right)\mathrm{}$ resonances, there is a hint of a resonance at 1.8 GeV, but we were unable to measure its parameters. We have measured the differential cross sections, the total cross sections, the masses and widths, and the spin density matrices of the two $K^{*}$ and the $\Delta \mathrm{}\left(1236\right)\mathrm{}$ resonances, and find them to be in agreement with previously published data. We have fitted the generalized Veneziano model to our reaction and to data at the other energies. We find that the five parameters used in the theory do not significantly change with energy. The fits at all energies are quite good. However, difficulties with the model at one energy persist at all energies. In particular, we find that the model fits the mass spectra very well at all energies, that the momentum-transfer distributions to the single particles and to the resonances fit well, and that the ratio of the cross sections of resonances in a given channel are well predicted by the model. The model's inability to fit the $p{\pi }^{+}$ mass spectrum is evident at all energies.