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Parametrization of the. delta. residue function. [Complex functions]

Abstract

The complex residues at the ..delta..(1236) and ..delta..(1950) poles in the relevant partial-wave amplitudes provide information on the behaviour of the ..delta.. Regge residue function in the resonance region u>0. Attempts to incorporate this information in parametrizations of the residue by functions that are real on the real u-axis result in residues which have unsatisfactory behaviour in the region u<1GeV/sup 2/. The choice of complex functions for the trajectory and residue removes this undesirable feature and provides a better representation of the residue in the resonance region, suggesting that complex parametrizations would be better suited to Regge analyses of near-backward scattering.
Authors:
Vasan, S S [1] 
  1. Carnegie-Mellon Univ., Pittsburgh, Pa. (USA). Dept. of Physics
Publication Date:
Apr 19, 1976
Product Type:
Journal Article
Reference Number:
AIX-07-262211; EDB-77-021545
Resource Relation:
Journal Name: Nucl. Phys., B; (Netherlands); Journal Volume: 106:3
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DELTA-1236 RESONANCES; PARTICLE PRODUCTION; DELTA-1950 RESONANCES; PION-NUCLEON INTERACTIONS; SCATTERING AMPLITUDES; AMPLITUDES; FUNCTIONS; INTEGRAL CALCULUS; PARTIAL WAVES; PHASE SHIFT; REGGE POLES; SCATTERING; SINGULARITY; TRAJECTORIES; U CHANNEL; BARYON RESONANCES; BARYONS; ELEMENTARY PARTICLES; FERMIONS; HADRON-HADRON INTERACTIONS; HADRONS; INTERACTIONS; MATHEMATICS; MESON-BARYON INTERACTIONS; MESON-NUCLEON INTERACTIONS; N)RESONANCES; PARTICLE INTERACTIONS; RESONANCE PARTICLES; 645206* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions, Baryon No. = 1- (-1987)
OSTI ID:
7241798
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: NUPBB
Submitting Site:
INIS
Size:
Pages: 526-534
Announcement Date:
Oct 01, 1976

Citation Formats

Vasan, S S. Parametrization of the. delta. residue function. [Complex functions]. Netherlands: N. p., 1976. Web.
Vasan, S S. Parametrization of the. delta. residue function. [Complex functions]. Netherlands.
Vasan, S S. 1976. "Parametrization of the. delta. residue function. [Complex functions]." Netherlands.
@misc{etde_7241798,
title = {Parametrization of the. delta. residue function. [Complex functions]}
author = {Vasan, S S}
abstractNote = {The complex residues at the ..delta..(1236) and ..delta..(1950) poles in the relevant partial-wave amplitudes provide information on the behaviour of the ..delta.. Regge residue function in the resonance region u>0. Attempts to incorporate this information in parametrizations of the residue by functions that are real on the real u-axis result in residues which have unsatisfactory behaviour in the region u<1GeV/sup 2/. The choice of complex functions for the trajectory and residue removes this undesirable feature and provides a better representation of the residue in the resonance region, suggesting that complex parametrizations would be better suited to Regge analyses of near-backward scattering.}
journal = []
volume = {106:3}
journal type = {AC}
place = {Netherlands}
year = {1976}
month = {Apr}
}