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Title: Transformation between current and constituent quarks and transitions between hadrons

Abstract

The transformation from current- to constituent-quark basis states is discussed. Certain algebraic properties of the transformed vector and axial-vector currents are abstracted from the free-quark model and assumed to hold in nature. Supplemented by the partially conserved axial-vector current hypothesis and assumptions about the identification of the observed hadrons with simple constituent-quark states, the algebraic properties of the transformed currents are used to compute the pion and photon transitions between any two hadron states. General selection rules are stated. Many specific matrix elements for both meson and baryon decays are tabulated, and both their magnitudes and signs are compared with experiment.

Authors:
 [1];  [2];  [3]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. California Inst. of Technology (CalTech), Pasadena, CA (United States); National Bureau of Standards, Washington, DC (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1442896
Report Number(s):
SLAC-PUB-1286
Journal ID: ISSN 0556-2821; PRVDAQ
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 9; Journal Issue: 3; Journal ID: ISSN 0556-2821
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Gilman, Frederick J., Kugler, Moshe, and Meshkov, Sydney. Transformation between current and constituent quarks and transitions between hadrons. United States: N. p., 1974. Web. doi:10.1103/PhysRevD.9.715.
Gilman, Frederick J., Kugler, Moshe, & Meshkov, Sydney. Transformation between current and constituent quarks and transitions between hadrons. United States. doi:10.1103/PhysRevD.9.715.
Gilman, Frederick J., Kugler, Moshe, and Meshkov, Sydney. Fri . "Transformation between current and constituent quarks and transitions between hadrons". United States. doi:10.1103/PhysRevD.9.715. https://www.osti.gov/servlets/purl/1442896.
@article{osti_1442896,
title = {Transformation between current and constituent quarks and transitions between hadrons},
author = {Gilman, Frederick J. and Kugler, Moshe and Meshkov, Sydney},
abstractNote = {The transformation from current- to constituent-quark basis states is discussed. Certain algebraic properties of the transformed vector and axial-vector currents are abstracted from the free-quark model and assumed to hold in nature. Supplemented by the partially conserved axial-vector current hypothesis and assumptions about the identification of the observed hadrons with simple constituent-quark states, the algebraic properties of the transformed currents are used to compute the pion and photon transitions between any two hadron states. General selection rules are stated. Many specific matrix elements for both meson and baryon decays are tabulated, and both their magnitudes and signs are compared with experiment.},
doi = {10.1103/PhysRevD.9.715},
journal = {Physical Review. D, Particles Fields},
number = 3,
volume = 9,
place = {United States},
year = {1974},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

TABLE I TABLE I: Decays of non-strange 35 L' = 1 mesons by pion emission to 35 L = 0 mesons. The ω, σ, and f are assumed to be ideal mixtures of SU(3) singlets and octets so as to be composed of non-strange quarks. Zweig’s rule2 is used to relate decaymore » amplitudes involving the 35 and 1 parts of the λ = 0, ω , σ, and f. The η and H are assumed to be pure octet. The reduced matrix elements are defined in the text.41« less

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    Works referencing / citing this record:

    Partial-wave analysis of the reaction π N π π N in the c.m energy range 1300-2000 MeV
    journal, June 1975


    Hadronic and radiative D * widths
    journal, August 2013