Planar bootstrap based on a Pade approximation to the dual multiperipheral model

Journal Article · Sat Jan 01 00:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.319· OSTI ID:7320930

Balazs, L A.P.

We introduce a Pade approximation to the multiperipheral integral equation which becomes exact for a factorizable model, but is much easier to set up, even without simplifying kinematic approximations. We then apply this to a dual multiperipheral model in which the produced clusters are dual to Regge behavior. If we only consider uncrossed loops (in the usual quark-duality sense), the requirement that the resulting output Reggeon be consistent with the input leads to two bootstrap conditions, one of which is similar to the planar bootstrap of Veneziano, but incorporates certain threshold phenomena. If we make the dual-tree approximation for the triple-Regge vertex g (t',t'',t) we obtain a Reggeon intercept ..cap alpha../sub 0/ approx. = 0.53 and a value for g (0,0,0) which is in reasonably good agreement with experiment. The Pomeron can be calculated by adding in crossed (cylinder) loops and again leads to a result which is in reasonable agreement with the data at moderate energies. (AIP)

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 7320930
• Journal Information: Phys. Rev., D; (United States), Vol. 15:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOOTSTRAP MODEL
PADE APPROXIMATION
MULTIPERIPHERAL MODEL
DUALITY
MESONS
PROPAGATOR
QUARK MODEL
REGGE POLES
SU-3 GROUPS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
HADRONS
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
PERIPHERAL MODELS
SU GROUPS
SYMMETRY GROUPS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties