Connection between Regge behavior and fixed-angle scattering

Journal Article · Sat Dec 01 04:00:00 EST 1973 · Phys. Rev., D, v. 8, no. 11, pp. 4117-4133

DOI:https://doi.org/10.1103/PhysRevD.8.4117· OSTI ID:4317205

Blankenbecler, R; Brodsky, S J; Gunion, J F; Savit, R

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)

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-028072
• OSTI ID: 4317205
• Journal Information: Phys. Rev., D, v. 8, no. 11, pp. 4117-4133, Journal Name: Phys. Rev., D, v. 8, no. 11, pp. 4117-4133; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

*REGGE POLES-- SCATTERING AMPLITUDES
BORN APPROXIMATION
DUALITY
LADDER APPROXIMATION
LINEAR MOMENTUM TRANSFER
N64500* --Physics (High Energy)--Scattering Theory
REGGE TRAJECTORIES