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Local compensation of quantum numbers and the phase of many-particle production amplitudes
Phys. Rev. D 13, 1474 – Published 1 March, 1976
DOI: https://doi.org/10.1103/PhysRevD.13.1474
Abstract
We assume that two-body scattering processes occur only as the shadow of a class of many-particle production events and that the probability distribution of this class of events obeys the requirement of local compensation of quantum numbers. The first of these assumptions implies that a certain functional integral yields the strongest bound on the energy dependence of two-body quantum-number exchange which can be obtained from inelastic production probabilities. Using the second assumption we evaluate this bound and show that recent data imply that the result for charge exchange is probably much weaker than the energy dependence actually observed. We therefore conclude the energy dependence of charge exchange should be generated mainly by the phase of many-particle production. Then we reformulate local compensation of quantum numbers as a condition on many-particle production amplitudes, including their phases. We show that this assumption implies the leading energy dependence of two-body quantum-number exchange is given by Regge poles with factorizable residues. The Regge trajectories we obtain are expected to be analytic functions of both charge and momentum transfer and can be extrapolated to provide a number of semiquantitative conclusions concerning exotic meson trajectories.
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