Double-Peripheral-Model Analysis of the ReactionK+p→K+π−Δ++1236at 9GeVc

Using a double-Regge-pole-exchange model, we study the low -${\Delta }^{++}{\pi }^{-}$-mass enhancement in the reaction $K^{+}p\to K^{+}{\pi }^{-}{{\Delta }^{++}}_{1236}$ at 9 $\frac{\mathrm{GeV}}{c}$. We find that $P$ and $\pi$ double exchange dominate the process. In general the model agrees with the data in the region where $M\left(K^{+}{\pi }^{-}\right)>~1.54$ GeV, -$t_{\mathrm{KK}}$ ${\left(\frac{\mathrm{GeV}}{c}\right)}^2$, and -$t_{p\Delta }$ ${\left(\frac{\mathrm{GeV}}{c}\right)}^2$. The possibility of extending the model into the large-$t$ region and problems involved in the extrapolation of the model to the $K\pi$ threshold are investigated. The importance of the contribution from the double-peripheral process in the low-$M\left(K^{+}{\pi }^{-}\right)$ region and its implications for the analysis of the $K\pi$ system are discussed.