Multiplicities and Regge poles in deep hadron--hadron scattering [Thesis]

Thesis/Dissertation · Sat Dec 01 00:00:00 EST 1973

OSTI ID:4298792

Savit, Robert Steven ^[1]

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1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

We discuss some aspects of hadron-hadron scattering in the deep region. The deep region can be very roughly characterized as the kinematic region which involves large momentum transfers at high energies. Using ideas related to Feynman’s parton model, we derive a formula for the average multiplicity of an inclusive or semi-inclusive experiment in which at least one final-state particle is detected with a large transverse momentum, and we show how the average multiplicities in these experiments are related to average multiplicities in other high energy reactions. We then turn to a discussion of the relationship between the deep and Regge regions in 2 → 2 hadronic amplitudes. An integral equation, based on t-channel iterations of two-particle irreducibIe kernels is derived. We show how these graphs generate Regge poles and how their trajectories are connected to the deep scattering Born term. Physical implications of our procedure are then discussed. Next, we generalize our approach to include coupled channel problems. We then show how to include the effects of signature in the scheme, and we end with some speculations about the physical interpretation of Harari-Rosner duality diagrams and the dynamical origin of the Pomeron pole.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: US Atomic Energy Commission (AEC); USDOE
• DOE Contract Number: AT(04-3)-515
• NSA Number: NSA-30-017195
• OSTI ID: 4298792
• Report Number(s): SLAC-168; SLAC-R-168
• Resource Relation: Other Information: Thesis. Orig. Receipt Date: 31-DEC-74
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
*HADRON-HADRON INTERACTIONS- INCLUSIVE INTERACTIONS
*MULTIPLE PRODUCTION- REGGE POLES
BORN APPROXIMATION
COUPLED CHANNEL THEORY
DIAGRAMS
DUALITY
FINAL-STATE INTERACTIONS
INTEGRAL EQUATIONS
ITERATIVE METHODS
KERNELS
LINEAR MOMENTUM TRANSFER
MULTIPLICITY
PARTON MODEL
POMERANCHUK PARTICLES
REGGE TRAJECTORIES
SCATTERING AMPLITUDES
TRANSVERSE MOMENTUM