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Correlation Functions in High-Energy Multiple Production and an Extension of Feynman's Gas Analog
Phys. Rev. D 5, 1724 – Published 1 April, 1972
DOI: https://doi.org/10.1103/PhysRevD.5.1724
Abstract
A picture of multiple-production cross sections suggested by Feynman is extended to include transverse-momentum distributions and phase-space boundary effects in the single-particle distributions by introducing an external confining potential on an axially symmetric plasma. Two-particle correlation functions are discussed in such an analog system, using closure approximations such as the Debye-Hückel equation for a nonuniform plasma, with the interparticle potentials obtained from two-particle elastic scattering properties. Effective correlation lengths are found to depend on the single-particle distribution in important ways. In particular, the central-region correlations are of shorter range than those at large transverse momentum or near phase-space boundaries in certain cases. A bootstrap mechanism for indefinitely rising Regge trajectories is also outlined.
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