Progress of Theoretical Physics, Vol. 59, No. 3, March 1978 Pomeron Slope vs. Reggeon Slope in Dual Multiperipheral Model Hisakazu MINAKATA Department of Physics, Tokyo Metropolitan University Tokyo 158 (Received August 22, 1977) 861 Estimated is the ratio a' pfa' B, of the output Pomeron slope to the Reggeon slope within the framework of dual multiperipheral model. It is found that this ratio cannot be less than unity. A possible meaning of the result is discussed. § 1. Introduction It is very interesting to understand the intercepts and the slopes of ordinary Reggeons and the Pomeron in a unified way. The dual multiperipheral model of Lee and Venezianoll gives a lucid answer to the former aspect of the problem. Namely, larger number of nonresonant multiparticle amplitudes than resonant amplitudes promote the intercept of the Pomeron trajectory to lie above that of the Reggeon trajectory. The precise value of the Pomeron intercept may be quite dependent on details of the model and an approximation used. Nevertheless, the essential mechanism for promoting the Pomeron is suggestive of a prototype for correct understanding of the problem. Furthermore, the special interest on the dual multi- peripheral model is due to the fact that it gives the simplest realization of the topological expansion 2 l /dual unitarization 3 l idea. Till now, many works have been done in the dual multiperipheral framework!) We naturally ask a further question; can we understand the slopes of the Reggeon and the Pomeron within the same model? It is the purpose of this paper to investigate this question. We shall conclude that the Pomeron slope is always greater than the Reggeon slope in the dual multiperipheral model. In § 2, we give a brief survey on the slope of the output Regge trajectory in the multiperipheral model. In § 3, we estimate the ratio of the Pomeron slope to the Reggeon slope within the framework of the dual multiperipheral model. The last section is devoted to discussion of the results. § 2. Slope of Regge trajectory in the multiperipheral model We define the slope of the output Regge trajectory as Downloaded from https://academic.oup.com/ptp/article-abstract/59/3/861/1854260 by guest on 20 May 2020