Published December 15, 1975 | Version v1
Journal article

Pomeron-Reggeon relationship according to the topological expansion

  • 1. Department of Physics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720

Description

The nature of the Pomeron and related effects are studied within the framework of Veneziano's topological expansion. At the second, or cylinder, level it is found that no new poles are generated but that first-level (planar) poles with I = 0 are shifted by the cylinder, the shifts being in opposite directions for positive and negative charge conjugation. The planar f, in particular, is shifted upward and may be interpreted near t = 0 as the Pomeron: with couplings lying roughly midway between the ideal mixing of a planar f and an SU3 singlet. The Pomeron intercept and couplings (mixing coefficients) together with corresponding intercepts and couplings for ω, f ', and phi are semiquantitatively related through a single parameter to the properties of rho-A2. In the positive-t physical-particle region corresponding relations successfully correlate the breaking of the Iizuka-Okubo-Zweig rule to the rho-ω mass difference. Comparison of the cylinder shift in this large-t region to that near t = 0 reveals the phenomenon of ''asymptotic planarity'': the cylinder perturbation dying out rapidly with increasing t. It is pointed out that the small Pomeron slope as well as certain physical effects attributed in field theory to asymptotic freedom are consequences of asymptotic planarity

Additional details

Identifiers

Publishing Information

Journal Title
Physical Review D
Journal Volume
12
Journal Issue
12
Series
Phys. Rev., D.
Journal Page Range
3907-3920
ISSN
0556-2821

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
7254177
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; DUALITY; POMERANCHUK PARTICLES; REGGE POLES; S MATRIX; TOPOLOGY; VENEZIANO MODEL
Descriptors DEC
BOSONS; ELEMENTARY PARTICLES; HADRONS; MATHEMATICAL MODELS; MATHEMATICS; MATRICES; MESONS; PARTICLE MODELS; POSTULATED PARTICLES

Optional Information

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