Features of forward $\pi N$ scattering from a Reggeized model

Abstract

Charge exchange process ${\pi }^{-}p\to {\pi }^{0}n$ and elastic scatterings ${\pi }^{\pm }p\to {\pi }^{\pm }p$ are investigated within the Regge framework where the relativistic Born amplitude is reggeized for the $t$-channel meson exchange. Charge exchange cross section is featured by the single $\rho$ exchange. Additional correction by Regge cuts, $\rho$-$f_2$ and $\rho$-Pomeron, agree with differential cross sections and new trajectory for the ${\rho }^{\prime }(1450)$ exchange is attempted to reproduce polarization data. For the description of elastic scattering data up to pion momentum $P_{\mathrm{Lab}}\approx 250$ GeV/c, Pomeron exchange of the Donnachie-Landshoff type is newly constructed and applied in this work. Elastic cross section data are well reproduced with the dominance of $f_2$ and Pomeron exchanges in intermediate and high energies. Analysis of nucleon resonances is presented to test the validity of the present Regge framework below $W\le 2$ GeV.

arXiv comment12 pages, 12 figures, 2 table

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• A new combined analysis of elastic and charge exchange $KN(\bar{K}N)$ scatterings in the Regge realm
• Reggeized model for $\gamma p\to {\rho }^{-}{\Delta }^{++}(1232)$ photoproduction
• Interactions of the deuteron with a hadronic medium
• Partial wave analysis of $K^{+}N$ scattering and the possibility of pentaquark ${\Theta }^{+}(1540)$