Chew-Low Model for Regge-Pole Couplings

The couplings of a meson trajectory $\alpha \mathrm{}\left(t\right)\mathrm{}$ to the baryon octet $B$ and the decimet $\Delta$ are studied in the Chew-Low model. The model predicts ratios, though not absolute magnitudes, for $\mathrm{SU}\left(3\right)\mathrm{}$-symmetric couplings of the $0^{-}$ octet $\Pi$, $1^{-}$ octet $V$, and $2^{+}$ octet $T$ trajectories at the small $t$ of either sign for which static kinematics is applicable. For non-spin-flip, the $V$ and $T$ trajectories are predicted to couple to $\overline{B}B$ like $F+\frac{1}{4}\mathrm{D}$, independent of $t$. For magnetic dipole terms, the $\Pi$, $V$, and $T$ trajectories are all predicted to couple to $\overline{B}B$ like $D+\frac{2}{3}F$, and to $\overline{\Delta }B$ with the same relative strength as the $0^{-}$ octet, independent of $t$. The electric quadrupole couplings of the $\Pi$, $V$, and $T$ trajectories are predicted to be small, independent of $t$. These results generally agree with existing data, improve Sawyer's explanation of the Johnson-Treiman relations, provide a partial justification of the recent suggestion that $V$ and $T$ couplings are similar, predict that $T$ exchange produces large spin flips, and predict certain ratios such as $\frac{\frac{d\sigma }{\mathrm{dt}}({\pi }^{-}p\to {\pi }^{0}n)}{\left(\frac{d\sigma }{\mathrm{dt}}\right)({\pi }^{+}p\to {\pi }^0{N}^{*++})}$.