Regge-Pole Analysis of Charge-Exchange and Hypercharge-Exchange Reactions in Pseudoscalar-Meson-Baryon Scattering

Within the context of the vector-tensor Regge-pole exchange model, the data on charge-exchange reactions (${\pi }^{-}p\to {\pi }^{0}n,{\pi }^{-}p\to \eta n,K^{-}p\to {\overline{K}}^{0}n$) and hypercharge-exchange reactions [${\pi }^{-}p\to K^0\Lambda \left({\Sigma }^0\right),{\pi }^{+}p\to K^{+}{\Sigma }^{+},K^{-}p\to {\pi }^0\Lambda ,K^{-}p\to {\pi }^{-}{\Sigma }^{+}$] are systematically analyzed. A statistical fit is presented which provides a good quantitative description of these data. In particular, the measured differential cross sections are adequately fitted over the momentum transfer range $0\le \mathrm{}\left|t\right|\mathrm{}\le 2.6 {\left(\frac{\mathrm{GeV}}{c}\right)}^2$. The magnitude and sign changes of the polarization data are explained by the model with the exception of the ${\pi }^{-}p\to {\pi }^{0}n$ polarization at high energies. Predictions of immediate experimental interest include (i) near-maximal polarization in $K^{-}p\to {\overline{K}}^{0}n$ near $t=0\mathrm{}$, (ii) a large polarization independent of energy for all reactions involving exchange of both a vector and tensor trajectory, (iii) differential cross sections for $K^{-}p\to \eta \Lambda \left({\Sigma }^0\right)$, (iv) structure in differential cross sections near $t\sim -2.5\mathrm{}{\left(\frac{\mathrm{GeV}}{c}\right)}^2$, and (v) polarization for ${\pi }^{-}p\to {\pi }^{0}n$ at intermediate energies. Assuming $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry for the factorized residues, the $\frac{f}{d}$ ratios were determined for the vector and tensor nonet $J^p={\frac{1}{2}}^{+}$ baryon octet couplings.