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From the viewpoint of the rearrangement of sakaton, dual properties between the So, tand u-channel scattering amplitudes of various two-body processes are investigated. The correspondence of the rearrangement diagrams to the amplitudes at both high and low energies given by the Regge pole model, Veneziano model and one-boson-exchange model is discussed. § 1. IntroductionFrom the viewpoint that the hadron has a composite structure, we have investigated the high energy two-body and quasi-two-body hadron-hadron scatterings in previous papersl)~4) (hereafter references 2) and 4) are referred to as I and II respectively). The scattering was assumed to be described by rearrangement of constituent entities (sakatons) ofhadrons which are represented by lines such as shown in Fig. 1. The validity of the model that certain entities are really rearranged is suggested by the fact that the observed energy dependences of cross sections for various two-body scatterings are expressed approximately as(1) when the triplet model is taken. In (1), nt IS the least possible number of rearranged sakaton in the t-channel and r is a constant. Just as in stripping or pick-up processes of nuclear reactions, when constituent particles are rearranged in the scattering of composite systems, the strong energy dependence of amplitude appears owing to the momentum distribution of internal wave function of composite states, and the more constituent particles are rearranged, the more rapidly 5 -s- Fig. 1. -~cThe rearrangement diagrams of sakatons. the amplitude decreases with 111-creasing energy.5)In II we have investigated the scattering to which the n t = 2 rearrangement mainly contributes. The hadron-hadron scattering amplitude has been represented by a linear combination of the sakaton-sakaton (X-type) and sakaton-anti-sakaton (H-type) rearrangement amplitudes \md~r th~ qssumption that the specat State Univ NY at Stony Brook on March 13, 2015 http://ptp.oxfordjournals.org/ Downloaded from

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Since Sakata's proposal much progress has been made in the composite theory of hadrons; in particular the SU(6)-symmetry theory has successfully described the level scheme of hadrons. Through the investigation of the mass-level of hadrons we have obtained some information about the dynamics of sakatons. In order to clarify further the d)rnamics we have to study the reactions of hadrons such as strong decay, collision, etc. In particular, high energy inelastic scatterings will provide, due to their variety, much useful information about the interactions of sakatons.In this r.ote we examine high energy twoand quasi-two-body scattering (TBS) including elastic backward scattering on the basis of the sakaton triplet. We assume the following:(1) A hadron-hadron scattering AB-CD is caused by rearrangement of several sakatons (RS) constituting the hadrons A and B.(2) Creation of the· sakaton pair which becomes constituents of a hadron is strongly suppressed (Okubo-Iizuka rule) }l (3) Let nR be the number of RS which is able to contribute to the process AB-CD, then the interaction responsible for the process is given by the product of one RS interaction v:(1)Here sa Cxa) and sa (xb) are creation (annihilation) and annihilation (creation) operators of the a-(a-) sakaton, respectively. (4) Each RS interaction v gives a factor e (PL/ Po) -r to the transition amplitude of TBS where PL is incident laboratory momentum and e, r and Po are constants. Recently Morrison 2 l classified phenomenologically the TBS into four groups (a) diffraction-like, (b) non-strange meson exchange, (c) strange meson exchange and (d) baryon exchange, and he found the interesting regularity that the energy dependence of integrated cross sections can be written aswhere K is a constant and Po is taken as

403An aspect of the multiple production process is discussed from a viewpoint that reactions of hadrons are caused by rearrangement of the sakatons, the constituents of hadrons. It is shown that the energy dependence of experimental cross sections for multiple production processes as well as two-body reactions are approximately given by cr I (phase space volume) cc s-2rnn with r"'-'0.5, where s is the square of total energy in c.m.s. and nR is the least possible number of rearranged sakatons.On the basis of the analyses of the two-body reactions, we make a conjecture that a sakaton rearrangement brings a factor [(pi +pJ)2] -r to the rearrangement amplitude where Pi and p 1 are the four-momenta of hadrons. § I. IntroductionFrom analyses 1 ) of the two-body and quasi-two-body processes in terms of rearrangement of sakatons (fundamental entities of the triplet models), it was found that the energy dependence of the cross sections are closely related to the number of rearranged sakatons nR as (1) where s is the square of total energy in the center of mass frame. The experimental energy dependence of various two-body processes can be reproduced with rIt has also been shown that the characteristic features of the inelastic twobody and quasi-two-body processes (appearance of forw~rd and/or backward peaks, dips, etc.) can be related with the type of rearrangement of sakatons. 2 ) In this paper, we examine the multiple production processes from the same viewpoint of the rearrangement of sakatons; It is shown in § 2 that Eq. (1) is well satisfied by the experimental data on the multiple production processes. In § 3, we make a conjecture on the energy dependent factors of sakaton rearrangement amplitude. Some remarks are given in § 4. In the Appendix the type of sakaton rearrangement for multiple production processes are summarized. at State Univ NY at Stony Brook on March 13, 2015 http://ptp.oxfordjournals.org/ Downloaded from

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