Solution of the Amati-Bertocchi-Fubini-Stanghellini-Tonin Equation with a Resonance Kernel

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Abstract
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.