Fragmentation in a φ3-theory Ladder model

Rajaraman, R. ; Banerjee, A. (1972) Fragmentation in a φ3-theory Ladder model Physical Review D - Particles, Fields, Gravitation and Cosmology, 6 (12). pp. 3641-3650. ISSN 1550-7998

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We study the inclusive reaction a+b→c + (anything), where all the particles belong to a single scalar field φ(x) interacting through a gφ3(x) term. We do this in a ladder model for the forward abc̅ →abc̅ process, whose amplitude is intimately related to the inclusive distribution. The choice of the infinite sequence of ladder diagrams as well as the assumptions involved are natural extensions of analogous work in the literature for four-point functions. In the fragmentation limit, the model yields the expected Regge behavior as the initial energy tends to infinity. An expression is derived for the limiting distribution function Ecdσ/dpc for fixed pc as s→∞. The results are derived both in the "leading-term approximation" as well as by an exact Mellin-transform method.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:56081
Deposited On:22 Aug 2011 12:42
Last Modified:22 Aug 2011 12:42

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