Cluster formulation in the dual topological unitarization

Technical Report · Thu Feb 01 04:00:00 EST 1979

DOI:https://doi.org/10.2172/5883648· OSTI ID:5883648

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, ..cap alpha../sub p//sup 0/ = .92, ..cap alpha../sub p/' = .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. 27 references.

• Research Organization: Texas Univ., Austin (USA). Center for Particle Theory
• OSTI ID: 5883648
• Report Number(s): ORO-3992-360
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOSONS
CLUSTER EMISSION MODEL
DATA
DATA FORMS
ELEMENTARY PARTICLES
EQUATIONS
EXPERIMENTAL DATA
HADRONS
INFORMATION
INTEGRAL EQUATIONS
INTERACTIONS
ISOLATED VALUES
MATHEMATICAL MODELS
MATHEMATICS
MESONS
MULTIPERIPHERAL MODEL
MULTIPLE PRODUCTION
NUMERICAL DATA
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
PERIPHERAL MODELS
POMERANCHUK PARTICLES
POSTULATED PARTICLES
REGGE CUTS
REGGE POLES
SCATTERING AMPLITUDES
TOPOLOGY
UNITARITY