Rising cross sections in QCD and the cosmic-ray data

Journal Article · Wed Feb 01 00:00:00 EST 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.769· OSTI ID:6344424

Kopeliovich, B Z; Nikolaev, N N; Potashnikova, I K

Novel features of the QCD-implied growth of the total cross sections are discussed. Specifically, Lipatov's QCD Pomeron is a series of poles above unity, so that the center of gravity of the QCD Pomeron: the effective intercept: moves to higher j with rising energy. The higher the energy the steeper is the predicted rate of growth of the cross section, until unitarity enforces saturation of the growth rate and the onset of the Froissart asymptotics at extremely high energies. We demonstrate that the QCD-predicted rapid rise of the p(p-bar)p total cross section agrees perfectly with the recent CERN Sp-barpS datum on the phase of the p-bar-p forward amplitude. Further evidence for the QCD-predicted rise of the total cross section comes from the published Akeno and Fly's Eye data on the extensive air showers. Our principal observation is that in view of the unitarity-enforced slope--cross-section correlation one can determine proton-proton inelastic cross section from the proton-air absorption cross section to a very high accuracy. The published Fly's Eye result sigma/sub abs/(p-air) = 540 +- 40 mb corresponds to sigma/sub in/(p-p) = 113/sub -15//sup +16/ mb and sigma/sub tot/(p-p) = 164/sub -27//sup +32/ mb. All of the previous determinations of sigma/sub tot/(p-p) from sigma/sub abs/(p-air) have grossly underestimated sigma/sub tot/(p-p). We present predictions for Fermilab Tevatron, ..sqrt..s = 1.8 TeV, and Superconducting Super Collider, ..sqrt..s = 40 TeV, energies.

• Research Organization: Joint Institute for Nuclear Research, 141 980 Dubna, Moscow, Union of Soviet Socialist Republics
• OSTI ID: 6344424
• Journal Information: Phys. Rev. D; (United States), Vol. 39:3
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EXTENSIVE AIR SHOWERS
INELASTIC SCATTERING
PROTON-ANTIPROTON INTERACTIONS
TOTAL CROSS SECTIONS
PROTON-PROTON INTERACTIONS
AIR
DIFFRACTION MODELS
GLUONS
PERTURBATION THEORY
POMERANCHUK PARTICLES
QUANTUM CHROMODYNAMICS
SCALING LAWS
SUPERCONDUCTING SUPER COLLIDER
TEV RANGE
UNITARITY
BARYON-BARYON INTERACTIONS
BOSONS
COSMIC RADIATION
COSMIC SHOWERS
CROSS SECTIONS
ELEMENTARY PARTICLES
ENERGY RANGE
FIELD THEORIES
FLUIDS
GASES
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
IONIZING RADIATIONS
MATHEMATICAL MODELS
MESONS
NUCLEON-ANTINUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
PROTON-NUCLEON INTERACTIONS
QUANTUM FIELD THEORY
RADIATIONS
SCATTERING
SECONDARY COSMIC RADIATION
SHOWERS
STORAGE RINGS
640101* - Astrophysics & Cosmology- Cosmic Radiation
645204 - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties