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Single Particle Distributions from Veneziano Amplitudes II
Author(s) -
Bebel D.,
Biebl K. J.,
Ebert D.,
Otto H. J.
Publication year - 1972
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.19720200904
Subject(s) - exponential function , physics , pion , amplitude , distribution (mathematics) , distribution function , function (biology) , exponential type , signature (topology) , particle (ecology) , mathematical physics , mathematics , mathematical analysis , particle physics , quantum mechanics , geometry , oceanography , evolutionary biology , biology , geology
The x ‐ and p ⟂ 2 ‐dependence of the distribution function for the inclusive reaction A + B → C + anything has been investigated for some typical cases using the dual six point function in the tree approximation as a model for T 33 . It is found that the form the x ‐distribution depends critically on the trajectory intercepts in the AC̄ and BC̄ channels, respectively. The p ⟂ 2 ‐dependence is nearly exponential for large x . For small x ‐values a steeper behaviour in the small p ⟂ 2 region is obtained which is especially pronounced for small masses of the observed particles. Diagrams with twists contributing to the distribution function for inclusive reactions with neutral pions lead to oscillations and dips near the nonsense wrong signature points of the AC̄ and BC̄ channel trajectories.