SELF-CONSISTENT MULTIPLE-QUARK-SCATTERING ANALYSIS OF CONSISTENCY RELATIONS AMONG PP, PP, PIP, AND PIPI CROSS SECTIONS

The self-consistent multiple-quark-scattering (SCMQS) picture that was previously used to analyze and account for the details of the pp differential cross section at high energy is here extended to a comprehensive analysis of high-energy hadron scattering according to a set of consistency relations among pp, pp̄, πp, and ππ scattering cross sections and the form factors of p and π. The consistency relations are a consequence of the SCMQS picture and the composite SU3-quark model which has been suggested on non-group-theoretical grounds by the results of the SCMQS analysis of pp scattering, which also indicate very small pointlike quarks. The essence of the consistency relations is illustrated with the first-order single-quark- scattering analysis, and then they are analyzed according to the generalized higher-order SCMQS treatment. Results of the higher-order SCMQS analysis of πp scattering indicate that the pion radius and the inverse diffraction width for ππ diffraction are significantly smaller than indicated by the previously reported results of the single-scattering treatment. We obtain here rπE≅0.36±0.12 F and ξππ≅4.8 (BeV/c)-2, respectively, for the pion charge radius and the inverse diffraction width for ππ scattering. Our results also indicate that the pion form factor falls off rapidly at high momentum transfer. Multiple-scattering effects and the interferences among them are seen to be very important characteristics of high-energy hadron-scattering phenomena. © 1969 The American Physical Society.