Solution of the Amati--Bertocchi--Fubini--Stanghellini--Tonin equation with a resonance kernel

The solution of the Amati-Bertocchi-Fubini-Stanghellini-Tonin multiperipheral integral equation with a narrow-resonance kernel is investigated. First, an approximation scheme that leads to a tractable analytic approximate solution is presented for both the forward and nonforward equations. Next, the exact numerical solutions are displayed for the relevant values of the input parameters: These results serve as a measure of the accuracy of various analytic approximate solutions. The approximate solution presented here, which is found to be good to within about 10% in the region of interest, should be useful both in the general study of the output of the multiperipheral model and in the Pomeranchukon perturbation theory.