Regge behavior and fixed-angle scattering

Journal Article · Thu Feb 21 00:00:00 EDT 1974 · Nuovo Cim., A, v. 19A, no. 4, pp. 548-569

DOI:https://doi.org/10.1007/BF02813405· OSTI ID:4321661

Ellis, S D; Freund, P G.O.

It is shown that, if one expresses the hadronic scattering amplitude as a sum of contributions from individual quark diagrams, each of these quark diagram contributions will obey a logarithmic scaling law in the high energy fixed-angle limit. The ingredients of the proof are the linear motion of singularities in the complex angular-momentum plane and certain analyticity assumptions. The logarithmic scaling law emerges from the requirement of consistency of the behaviors of the individual quark diagram amplitude in the fixed-angle high energy regime and in the Regge regime. Each quark diagram is found to have an intrinsic scale set by the slope of the dominant'' singularity in the complex angular-momentum plane by any of its channels, i.e., the singularity whose trajectory lies highest for large negative values of that channel's Mandelstam variable. Complex angular-momentum plane singularities that are dominant in different channels of the same quark diagram must therefore have the same slope. As the Pomeranchuk singularity and Regge--Regge cuts are dominant in different channels of the same (twisted loop) quark diagram, it follows that they must have the same slope of ~ 0.42 (GeV)/sup -2/. If one assumes a small number of quark diagrams to dominate the physical scattering amplitude at present energies and fixed angles, the differential cross section is found also to obey a logarithmic scaling law which agrees with the wide-angle pp scattering data. (auth)

• Research Organization: National Accelerator Lab., Batavia, IL
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-022641
• OSTI ID: 4321661
• Journal Information: Nuovo Cim., A, v. 19A, no. 4, pp. 548-569, Other Information: Orig. Receipt Date: 30-JUN-74
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

N64270* -Physics (High Energy)-Particle Interactions & Properties (Theoretical)-Strong (Baryon No. >= 2)
*PROTON-PROTON INTERACTIONS- SCATTERING AMPLITUDES
ANGULAR MOMENTUM
BOUNDARY CONDITIONS
DIAGRAMS
DIFFERENTIAL CROSS SECTIONS
MANDELSTAM REPRESENTATION
MOTION
POMERANCHUK PARTICLES
QUARK MODEL
QUARKS
REGGE CUTS
REGGE POLES
REGGE TRAJECTORIES
SCALING LAWS
SINGULARITY