Estimation of the Asymptotic Pseudoscalar-Meson-Baryon Total Cross Section from the Amati-Bertocchi-Fubini-Stanghellini-Tonin Multiperipheral Model

The high-energy forward scattering of a pseudoscalar meson ($\mu$) and a baryon ($B$) is discussed on the basis of the Amati-Bertocchi-Fubini-Stanghellini-Tonin multiperipheral model. Assuming that the low-energy $\mu B$ amplitude is dominated by the baryon pole plus the first elastic resonance, and using the approximate solution to the $\mu \mu$ integral equation proposed by Abarbanel, Chew, Goldberger, and Saunders, we derive an expression for the high-energy limit of ${\sigma }_{\mu B}^{\mathrm{tot}}$. A numerical estimate based on SU(3) symmetry is given.