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Title: Connection between Regge behavior and fixed-angle scattering

Abstract

The physical origins and dynamical details of Rcgge behavior are studied by examining a general class of theories which are capable of describing the observed large-momentum-transfer data and extending them into the intermediate-t range. The mechanism responsible for the smooth connection between the deep- scattering region and the Regge region is discussed in detail. We derive a convenient new form of the exact integral equation which describes generalized ladder graphs containing irreducible scattering amplitudes as the rungs. The limiting behavior of the Regge trajectories and residues are then calculated in both the single-channel, and the more realistic coupled-channel cases. The trajectories are found to approach negative constants for large negative momcntum transfer and the residues fall as powers in the same limit. Furthermore, since the forward and backward Regge regimes must join smoothly onto the same flxed- angle behavior, there are relations between a priori unrelated trajectory functions and residues. The standard properties of Regge poles, in particular factorization and signature, are shown to be present even though the basic, fixed- angle interaction possesses neither of these properties. These general considerations are then applied to the more specific constituent-interchange model. Here we find that the asymptotic behavior of the trajectoriesmore » and residues are controlled by the form factors of the particles involved in the scattering. Finally. we elucidate the relationship between the constituent- interchange diagrams and the Harari-Rosner duality diagrams. (auth)« less

Authors:
; ; ;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
4317205
NSA Number:
NSA-29-028072
Resource Type:
Journal Article
Journal Name:
Phys. Rev., D, v. 8, no. 11, pp. 4117-4133
Additional Journal Information:
Other Information: Orig. Receipt Date: 30-JUN-74
Country of Publication:
United States
Language:
English
Subject:
N64500* -Physics (High Energy)-Scattering Theory; *REGGE POLES- SCATTERING AMPLITUDES; BORN APPROXIMATION; DUALITY; LADDER APPROXIMATION; LINEAR MOMENTUM TRANSFER; REGGE TRAJECTORIES

Citation Formats

Blankenbecler, R, Brodsky, S J, Gunion, J F, and Savit, R. Connection between Regge behavior and fixed-angle scattering. United States: N. p., 1973. Web. doi:10.1103/PhysRevD.8.4117.
Blankenbecler, R, Brodsky, S J, Gunion, J F, & Savit, R. Connection between Regge behavior and fixed-angle scattering. United States. https://doi.org/10.1103/PhysRevD.8.4117
Blankenbecler, R, Brodsky, S J, Gunion, J F, and Savit, R. 1973. "Connection between Regge behavior and fixed-angle scattering". United States. https://doi.org/10.1103/PhysRevD.8.4117.
@article{osti_4317205,
title = {Connection between Regge behavior and fixed-angle scattering},
author = {Blankenbecler, R and Brodsky, S J and Gunion, J F and Savit, R},
abstractNote = {The physical origins and dynamical details of Rcgge behavior are studied by examining a general class of theories which are capable of describing the observed large-momentum-transfer data and extending them into the intermediate-t range. The mechanism responsible for the smooth connection between the deep- scattering region and the Regge region is discussed in detail. We derive a convenient new form of the exact integral equation which describes generalized ladder graphs containing irreducible scattering amplitudes as the rungs. The limiting behavior of the Regge trajectories and residues are then calculated in both the single-channel, and the more realistic coupled-channel cases. The trajectories are found to approach negative constants for large negative momcntum transfer and the residues fall as powers in the same limit. Furthermore, since the forward and backward Regge regimes must join smoothly onto the same flxed- angle behavior, there are relations between a priori unrelated trajectory functions and residues. The standard properties of Regge poles, in particular factorization and signature, are shown to be present even though the basic, fixed- angle interaction possesses neither of these properties. These general considerations are then applied to the more specific constituent-interchange model. Here we find that the asymptotic behavior of the trajectories and residues are controlled by the form factors of the particles involved in the scattering. Finally. we elucidate the relationship between the constituent- interchange diagrams and the Harari-Rosner duality diagrams. (auth)},
doi = {10.1103/PhysRevD.8.4117},
url = {https://www.osti.gov/biblio/4317205}, journal = {Phys. Rev., D, v. 8, no. 11, pp. 4117-4133},
number = ,
volume = ,
place = {United States},
year = {Sat Dec 01 00:00:00 EST 1973},
month = {Sat Dec 01 00:00:00 EST 1973}
}

Works referenced in this record:

Composite theory of large angle scattering and new tests of parton concepts
journal, May 1972


Large-Angle Scattering and the Interchange Force
journal, July 1973


Composite Theory of Inclusive Scattering at Large Transverse Momenta
journal, November 1972


Meson Multiplicity for the Reaction pp ppX in a Bremsstrahlung Model
journal, December 1971


Inclusive Processes at High Transverse Momentum
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t/s scaling in strong interactions
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Very High-Energy Collisions of Hadrons
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Feynman Rules and Quantum Electrodynamics at Infinite Momentum
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Singularities of Scattering Amplitudes on Unphysical Sheets and Their Interpretation
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Regge Poles and High-Energy Limits in Field Theory
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Duality Diagrams
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Graphical form of Duality
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Pomeranchuk term in the dual quark model
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Works referencing / citing this record:

The Pomeron and gauge/string duality
journal, December 2007


Analysis of particle production at large transverse momentum
journal, December 1975