High-energy pp and pp-bar forward elastic scattering and total cross sections
The present status of elastic pp and pp-bar scattering in the high-energy domain is reviewed, with emphasis on the forward and near-forward regions. The experimental techniques for measuring sigma/sub tot/, rho, and B are discussed, emphasizing the importance of the region in which the nuclear and Coulomb scattering interfere. The impact-parameter representation is exploited to give simple didactic demonstrations of important rigorous theorems based on analyticity, and to illuminate the significance of the slope parameter B and the curvature parameter C. Models of elastic scattering are discussed, and a criterion for the onset of ''asymptopia'' is given. A critique of dispersion relations is presented. Simple analytic functions are used to fit simultaneously the real and imaginary parts of forward scattering amplitudes for both pp and pp-bar, obtained from experimental data for sigma/sub tot/ and rho. It is found that a good fit can be obtained using only five parameters (with a cross section rising as ln/sup 2/s), over the energy range 5 < ..sqrt..s < 62 GeV. The possibilities that (a) the cross section rises only as lns, (b) the cross section rises only locally as ln/sup 2/s, and eventually goes to a constant value, and (c) the cross-section difference between pp and pp-bar does not vanish as s..-->..infinity are examined critically. The nuclear slope parameters B are also fitted in a model-independent fashion. Examination of the fits reveals a new regularity of the pp-bar and the pp systems.
- Research Organization:
- Department of Physics, Northwestern University, Evanston, Illinois 60201
- DOE Contract Number:
- AC03-76SF00098; AC02-76ER02289
- OSTI ID:
- 5773544
- Journal Information:
- Rev. Mod. Phys.; (United States), Vol. 57:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
PROTON-ANTIPROTON INTERACTIONS
ELASTIC SCATTERING
TOTAL CROSS SECTIONS
PROTON-PROTON INTERACTIONS
ASYMPTOTIC SOLUTIONS
DISPERSION RELATIONS
IMPACT PARAMETER
POMERANCHUK THEOREM
REVIEWS
SCATTERING AMPLITUDES
UNITARITY
AMPLITUDES
BARYON-BARYON INTERACTIONS
CROSS SECTIONS
DOCUMENT TYPES
HADRON-HADRON INTERACTIONS
INTERACTIONS
NUCLEON-ANTINUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PROTON-NUCLEON INTERACTIONS
SCATTERING
645205* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions
Baryon No. = 0- (-1987)
645207 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions
Baryon No. Greater than 1- (-1987)