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:
-
- California Inst. of Technology (CalTech), Pasadena, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journalFigures / Tables:
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 »
All figures and tables
(10 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Symmetry Predictions from Sum Rules without Saturation
journal, October 1966
- Gilman, Frederick J.; Schnitzer, Howard J.
- Physical Review, Vol. 150, Issue 4
The axial vector current in beta decay
journal, May 1960
- Gell-Mann, M.; Lévy, M.
- Il Nuovo Cimento, Vol. 16, Issue 4
Strong-Interaction Sum Rules for Pion-Hadron Scattering
journal, January 1968
- Gilman, Frederick J.; Harari, Haim
- Physical Review, Vol. 165, Issue 5
Mass Formulas and the Algebraic Structure of Superconvergence Relations
journal, September 1967
- Gilman, Frederick J.; Harari, Haim
- Physical Review Letters, Vol. 19, Issue 12
Harmonic-Oscillator Model for Baryons
journal, September 1968
- Faiman, David; Hendry, Archibald W.
- Physical Review, Vol. 173, Issue 5
-Spin and -Spin Subgroups of SU(12)
journal, April 1965
- Lipkin, H. J.; Meshkov, S.
- Physical Review Letters, Vol. 14, Issue 16
Test of amplitude signs in pion photoproduction predicted by the transformation from current to constituent quarks
journal, October 1973
- Gilman, F. J.; Karliner, I.
- Physics Letters B, Vol. 46, Issue 3
Further evidence for a 70, L = 2 baryon multiplet
journal, June 1973
- Faiman, D.; Rosner, J. L.; Weyers, J.
- Nuclear Physics B, Vol. 57, Issue 1
Quark graphs and angular distributions in positive-parity meson decays
journal, January 1971
- Colglazier, E. W.; Rosner, J. L.
- Nuclear Physics B, Vol. 27, Issue 2
-Meson Production in Interactions at 7
journal, July 1973
- Cohen, D.; Ferbel, T.; Slattery, P.
- Physical Review D, Vol. 8, Issue 1
Resonance Decays Involving Vector Mesons
journal, February 1973
- Petersen, W. P.; Rosner, J. L.
- Physical Review D, Vol. 7, Issue 3
Algebraic Realizations of Chiral Symmetry
journal, January 1969
- Weinberg, Steven
- Physical Review, Vol. 177, Issue 5
Renormalization of the Weak Axial-Vector Coupling Constant
journal, June 1965
- Weisberger, William I.
- Physical Review Letters, Vol. 14, Issue 25
Chiral SU(2) SU(2) Mixing and the Quark Model of Hadrons
journal, March 1973
- Gilman, F. J.; Kugler, M.
- Physical Review Letters, Vol. 30, Issue 11
Neutrino or Electron Energy Needed for Testing Current Commutation Relations
journal, April 1967
- Adler, Stephen L.; Gilman, Frederick J.
- Physical Review, Vol. 156, Issue 5
Tables of Clebsch-Gordan Coefficients of S
journal, October 1964
- McNAMEE, P.; J., S.; Chilton, Frank
- Reviews of Modern Physics, Vol. 36, Issue 4
SU(3) × S(3) of currents, SUW(6) of constituents, and electromagnetic decays
journal, August 1973
- Love, A.; Nanopoulos, D. V.
- Physics Letters B, Vol. 45, Issue 5
Current and Constituent Quarks in the Light-Cone Quantization
journal, August 1973
- Eichten, E.; Feinberg, F.; Willemsen, J. F.
- Physical Review D, Vol. 8, Issue 4
Current quarks, constituent quarks, and symmetries of resonance decays
journal, September 1973
- Hey, A. J. G.; Rosner, J. L.; Weyers, J.
- Nuclear Physics B, Vol. 61
Strain Dependence of Longitudinal Piezoelectric, Elastic, and Dielectric Constants of -Cut Quartz
journal, December 1972
- Graham, R. A.
- Physical Review B, Vol. 6, Issue 12
Clebsch-gordan coefficients for the groupSU 6
journal, September 1965
- Cook, C. L.; Murtaza, G.
- Il Nuovo Cimento, Vol. 39, Issue 2
Evidence for Duality Constraints in Decays
journal, December 1972
- Mehtani, U.; Fung, S. Y.; Kernan, A.
- Physical Review Letters, Vol. 29, Issue 24
A schematic model of baryons and mesons
journal, February 1964
- Gell-Mann, M.
- Physics Letters, Vol. 8, Issue 3
Calculation of the Axial-Vector Coupling Constant Renormalization in Decay
journal, June 1965
- Adler, Stephen L.
- Physical Review Letters, Vol. 14, Issue 25
Photoproduction of Resonances in the Quark Model
journal, April 1966
- Moorhouse, R. G.
- Physical Review Letters, Vol. 16, Issue 17
A mixing operator for theSU 3×SU 3 chiral algebra
journal, September 1970
- Buccella, F.; Kleinert, H.; Savoy, C. A.
- Il Nuovo Cimento A Series 10, Vol. 69, Issue 1
Properties of the B-meson observed in 11 GeV/c π±p interactions
journal, May 1973
- Afzal, M.; Evans, D.; Neat, K. P.
- Il Nuovo Cimento A, Vol. 15, Issue 1
Phases of resonant amplitudes: πN → πΔ
journal, August 1973
- Faiman, D.; Rosner, J.
- Physics Letters B, Vol. 45, Issue 4
Symmetries of Baryons and Mesons
journal, February 1962
- Gell-Mann, Murray
- Physical Review, Vol. 125, Issue 3
Representation of Local Current Algebra at Infinite Momentum
journal, August 1966
- Dashen, Roger; Gell-Mann, Murray
- Physical Review Letters, Vol. 17, Issue 6
Current Matrix Elements from a Relativistic Quark Model
journal, June 1971
- Feynman, R. P.; Kislinger, M.; Ravndal, F.
- Physical Review D, Vol. 3, Issue 11
A quark model of mesons based on chiral symmetry
journal, April 1973
- Casher, A.; Susskind, L.
- Physics Letters B, Vol. 44, Issue 2
Decays of Odd-Parity Baryon Resonances
journal, December 1968
- Carter, J. C.; Head, M. E. M.
- Physical Review, Vol. 176, Issue 5
Regge Amplitude Arising from Vertices
journal, July 1970
- Carlitz, R.; Kislinger, M.
- Physical Review D, Vol. 2, Issue 2
Selection rules and ratios for axial couplings
journal, May 1972
- Buccella, F.; Nicolò, F.; Pugliese, A.
- Il Nuovo Cimento A, Vol. 9, Issue 1
Analysis of pion photoproduction and the quark model
journal, January 1973
- Moorhouse, R. G.; Oberlack, H.
- Physics Letters B, Vol. 43, Issue 1
SU 6W-Breaking pattern implied by the transformation from constituent to current quarks
journal, September 1973
- Buccella, F.; Nicoló, F.; Pugliese, A.
- Lettere Al Nuovo Cimento Series 2, Vol. 8, Issue 4
SU(6) and Electromagnetic Interactions
journal, October 1964
- Bég, M. A. B.; Lee, B. W.; Pais, A.
- Physical Review Letters, Vol. 13, Issue 16
Decay rates of meson resonances in a quark model
journal, May 1969
- Micu, L.
- Nuclear Physics B, Vol. 10, Issue 3
Photo-Excitation and Symmetry
journal, June 1966
- Dalitz, R. H.; Sutherland, D. G.
- Physical Review, Vol. 146, Issue 4
Resonance Decays Involving Two Partial Waves
journal, August 1972
- Petersen, W. P.; Rosner, J. L.
- Physical Review D, Vol. 6, Issue 3
Approximate symmetry and the algebra of current components
journal, July 1965
- Dashen, R. F.; Gell-Mann, M.
- Physics Letters, Vol. 17, Issue 2
Spin Independence, Spin, Parity, and Symmetry
journal, March 1966
- Lipkin, H. J.; Meshkov, S.
- Physical Review, Vol. 143, Issue 4
SU(6) and the Electromagnetic form Factors
journal, January 1965
- Barnes, K. J.; Carruthers, P.; Hippel, Frank von
- Physical Review Letters, Vol. 14, Issue 3
An su (6)w fit to the negative parity baryon decay rates
journal, January 1972
- Faiman, D.; Plane, D. E.
- Nuclear Physics B, Vol. 50, Issue 1
Decay rates of Neutral Mesons
journal, March 1962
- Gell-Mann, M.; Sharp, D.; Wagner, W. G.
- Physical Review Letters, Vol. 8, Issue 6
Sum rule for the isovector magnetic moment of the nucleon
journal, January 1966
- Cabibbo, N.; Radicati, L. A.
- Physics Letters, Vol. 19, Issue 8
SU(6) Clebsch-Gordan Coefficients for the Product 35 × 56
journal, March 1965
- Carter, J. C.; Coyne, J. J.; Meshkov, S.
- Physical Review Letters, Vol. 14, Issue 13
Pionic transitions as tests of the connection between current and constituent quarks
journal, August 1973
- Gilman, F. J.; Kugler, M.; Meshkov, S.
- Physics Letters B, Vol. 45, Issue 5
Constituent quarks, current quarks and pionic decays of resonances
journal, April 1973
- Hey, A. J. G.; Weyers, J.
- Physics Letters B, Vol. 44, Issue 3
Works referencing / citing this record:
Partial-wave analysis of the reaction in the c.m energy range 1300-2000 MeV
journal, June 1975
- Herndon, D. J.; Longacre, R.; Miller, L. R.
- Physical Review D, Vol. 11, Issue 11
Comment on the phases of inelastic partial waves and their comparison with the quark model, the current to constituent quark transformation, , and vector dominance
journal, December 1975
- Söding, P.
- Physical Review D, Vol. 12, Issue 11
Hadronic and radiative widths
journal, August 2013
- Rosner, Jonathan L.
- Physical Review D, Vol. 88, Issue 3
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.