Hard elastic scattering in QCD: Leading behavior
The author derives the asymptotic behavior of elastic meson-meson and baryon-baryon scattering at high energy and large angle t/s {approximately} O(1). The results organize both Sudakov and nonleading logarithmic corrections to independent (Landshoff) scatterings of valence quarks. He shows how to separate these contributions systematically from single scattering contributions, in a manner which suggests that the complete amplitudes should be computable perturbatively down to the dimensional counting power, in terms of hadronic wave functions. In the final chapter, the perturbative asymptotic amplitude and differential cross section for elastic pion-pion scattering is calculated numerically. For various choices of pion wave function and running coupling, the onset of power law behavior, d{sigma}/dt {approximately} s{sup {minus}5.8}, was observed. The dependence in d{sigma}/dt on the cutoff in gluon momentum, chosen to be O({Lambda}{sub QCD}/Q), was observed to be sharp for ln(s/1GeV{sup 2}) less than 1. Very small oscillations in d{sigma}/dt appear in physically realizable energies, but these are cutoff dependent, and their interpretation unclear. Higher twist effects were estimated to be roughly {approximately}15% for 2 < ln(s/1GeV{sup 2}) < 10.
- Research Organization:
- State Univ. of New York, Stony Brook, NY (United States)
- OSTI ID:
- 5178669
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
Similar Records
Leading order QCD computation of. pi. pi. elastic scattering
New evidence for the saturation of the Froissart bound
Related Subjects
BARYON-BARYON INTERACTIONS
ELASTIC SCATTERING
MESON-MESON INTERACTIONS
AMPLITUDES
CORRECTIONS
DIFFERENTIAL CROSS SECTIONS
NUMERICAL SOLUTION
PION-PION INTERACTIONS
QUANTUM CHROMODYNAMICS
QUARKS
WAVE FUNCTIONS
CROSS SECTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
PARTICLE INTERACTIONS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SCATTERING
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties