Abstract
Charge exchange process ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}n$ and elastic scatterings ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$ are investigated within the Regge framework where the relativistic Born amplitude is Reggeized for the $t$-channel meson exchange. The charge exchange cross section is featured by single $\ensuremath{\rho}$ exchange. Additional corrections by Regge cuts, $\ensuremath{\rho}\text{\ensuremath{-}}{f}_{2}$ and $\ensuremath{\rho}$-Pomeron, agree with differential cross sections, and a new trajectory for the ${\ensuremath{\rho}}^{\ensuremath{'}}(1450)$ exchange is attempted to reproduce polarization data. For the description of elastic scattering data up to pion momentum ${P}_{\mathrm{Lab}}\ensuremath{\approx}250$ 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 $W\ensuremath{\le}2$ GeV.
Highlights
A π N system is one of the fundamental objects for understanding strong interaction with its origin from QCD
Though not listing a long history of theoretical development and experimental activities initiated by π N scattering, the reaction should be regarded as an important source for understanding the dynamics of QCD in the isospin symmetry sector
Mathieu et al [6] of the Joint Physics Analysis Center (JPAC) studied π N scattering to construct a new set of Regge amplitudes by matching the low-energy partial wave analysis with high-energy data via the finite energy sum rule
Summary
A π N system is one of the fundamental objects for understanding strong interaction with its origin from QCD. Huang et al [8] investigated π N charge exchange scattering by using the Regge-cut model to provide high-energy constraints above. It is desirable to investigate π N scattering with hadron models that can utilize the effective Lagrangians for the description of the reaction beyond resonances up to the pion momentum PLab ≈ 250 GeV/c, the highest energy where a data point exists. We construct the Born amplitude to be Reggeized for the meson exchange, with our interest being to establish the reaction amplitude up to such high momentum with the interaction Lagrangians and the coupling constants shared with other hadron reactions. V we discuss our findings and give a summary with conclusions
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