Closed Regge eikonal formula for summing multiple-Reggeon-exchange contributions to the inclusive six-point function in the fragmentation region

Journal Article · Sat Jul 15 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.590· OSTI ID:6752145

Craigie, N S; Moriarty, K J.M.; Tabor, J H

We derive a closed Regge eikonal formula for summing the distinct types of multiple-Pomeron-exchange corrections to the Mueller-Regge contribution to the inclusive six-point functions a + b ..-->.. c + X in the fragmentation regions. If one takes into account final-state absorption (i.e., Pomeron exchange between c and the missing-mass state X), as Reggeon renormalization to the basic triple-Regge term (Y graph), then using the renormalized Y graph as input, the formula accounts for all the absorptive corrections within a Mueller-Regge framework and essentially can provide a complete description of the inclusive distribution in the fragmentation region. The technique we use is a straightforward generalization of the functional derivative method introduced by Abarbanel and Itzykson for summing multiple-meson-exchange contributions to the four-point function. This generalization allows for a large class of possible nested ladders to be summed up to a closed expression within the eikonal approximation. The formula shows that one should expect the absorption corrections in the case of an inclusive process in the fragmentation region to be much stronger than one would naively expect from the corresponding study of two-body processes.

• Research Organization: CERN-Geneva, Switzerland
• OSTI ID: 6752145
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:2; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
EIKONAL APPROXIMATION
ELEMENTARY PARTICLES
EXCHANGE INTERACTIONS
HADRONS
HYPOTHESIS
INCLUSIVE INTERACTIONS
INTERACTIONS
LIMITING FRAGMENTATION
MESONS
PARTICLE INTERACTIONS
POMERANCHUK PARTICLES
POSTULATED PARTICLES
REGGE CUTS
REGGE POLES
RENORMALIZATION