Cluster formulation in the dual topological unitarization scheme

Journal Article · Mon Oct 01 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1704· OSTI ID:5867132

Hossain, M

The work of Chiu, Hossain, and Tow is generalized by incorporating the no-double-counting condition and the t/sub min/ effect in the integral equations for the Reggeon and the Pomeron. The relation between the no-double-counting condition and the average cluster separation is derived, and a test is proposed to determine the correct counting. It is shown that the t/sub min/ effect is quite important in determining the Regge parameters. The model predicts a relation between five physical quantities: the Pomeron intercept (..cap alpha../sub P//sup 0/) and slope (..cap alpha../sub P/), the magnitude (k) and the exponential dependence (b) of the triple-Regge vertex, and the ratio of Pomeron to Reggeon residues (c) at t = 0. The solutions obtained are well within the range of acceptable values. A reasonable solution is, for example (in GeV units), ..cap alpha../sub P//sup 0/=0.92, ..cap alpha../sub P/=0.2, b=1.6, k=12.9, and c=0.91. It is found that cuts are present in both the Reggeon and the Pomeron amplitudes, and their contributions are small compared to the leading poles.

• Research Organization: Center for Particle Theory, Department of Physics, The University of Texas at Austin, Austin, Texas 78712
• OSTI ID: 5867132
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
DUALITY
ELEMENTARY PARTICLES
EQUATIONS
HADRONS
INTEGRAL EQUATIONS
INTERACTIONS
MESONS
MULTIPLE PRODUCTION
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PARTICLE RAPIDITY
POMERANCHUK PARTICLES
POSTULATED PARTICLES
REGGE CUTS
REGGE POLES
SCATTERING AMPLITUDES
UNITARITY