Inclusive cross sections and angular distributions in Reggeon field theory

Journal Article · Sat Nov 01 04:00:00 EST 1975 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.12.2798· OSTI ID:4079582

Abarbanel, Henry D. I.; Bartels, Jochen; Bronzan, J. B.; Sidhu, D.

We use the Reggeon field-theory rules for inclusive reactions to study those processes in the triple-Regge region. We first show that at asymptotic energies the dominant Reggeon graphs have a single Pomeron connected to external fast particles. We construct the sum of these dominant graphs by obtaining the infrared forms of the Pomeron propagator and triple-Pomeron vertex. This is done by an expanded set of renormalization-group equations which allow one to determine the separate dependencies on all momenta and energies. As a by-product we obtain the momentum-transfer dependence of dσ/dt in 2→ 2 processes. The inclusive cross section is discussed in detail as to its dependence on momentum transfer and missing mass, and we verify that there is no violation of s- channel unitarity when Pomerons interact among themselves. We also estimate the energy at which our asymptotic forms start to become valid.

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021532
• OSTI ID: 4079582
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 12; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*REGGE CALCULUS-- INCLUSIVE INTERACTIONS
641400*
ENERGY DEPENDENCE
LINEAR MOMENTUM
LINEAR MOMENTUM TRANSFER
MISSING MASS
N64210 - -Physics (High Energy)--Particle Interactions & Properties (Theoretical)--General
N64500* --Physics (High Energy)--Scattering Theory
N76200 --Physics (Theoretical)--Quantum Field Theories
POMERANCHUK PARTICLES
RENORMALIZATION
S CHANNEL
SCALING LAWS
SCATTERING AMPLITUDES
UNITARITY