Transformation between current and constituent quarks and transitions between hadrons

Gilman, Frederick J.; Kugler, Moshe; Meshkov, Sydney

doi:10.1103/PhysRevD.9.715

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

Journal Article · 01 February 1974 · Physical Review. D, Particles Fields

DOI: https://doi.org/10.1103/PhysRevD.9.715 · OSTI ID:1442896

Gilman, Frederick J. ^[1]; Kugler, Moshe ^[2]; Meshkov, Sydney ^[3]

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)

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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1442896

Report Number(s):: SLAC-PUB--1286

Journal Information:: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 9; ISSN PRVDAQ; ISSN 0556-2821

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (52)

SU 6W-Breaking pattern implied by the transformation from constituent to current quarks Buccella, F.; Nicoló, F.; Pugliese, A. Lettere Al Nuovo Cimento Series 2, Vol. 8, Issue 4 https://doi.org/10.1007/BF02725295	journal	September 1973
A mixing operator for theSU 3×SU 3 chiral algebra Buccella, F.; Kleinert, H.; Savoy, C. A. Il Nuovo Cimento A Series 10, Vol. 69, Issue 1 https://doi.org/10.1007/BF02728775	journal	September 1970
Properties of the B-meson observed in 11 GeV/c π±p interactions Afzal, M.; Evans, D.; Neat, K. P. Il Nuovo Cimento A, Vol. 15, Issue 1 https://doi.org/10.1007/BF02729743	journal	May 1973
Clebsch-gordan coefficients for the groupSU 6 Cook, C. L.; Murtaza, G. Il Nuovo Cimento, Vol. 39, Issue 2 https://doi.org/10.1007/BF02735822	journal	September 1965
Selection rules and ratios for axial couplings Buccella, F.; Nicolò, F.; Pugliese, A. Il Nuovo Cimento A, Vol. 9, Issue 1 https://doi.org/10.1007/BF02823569	journal	May 1972
The axial vector current in beta decay Gell-Mann, M.; Lévy, M. Il Nuovo Cimento, Vol. 16, Issue 4 https://doi.org/10.1007/BF02859738	journal	May 1960
Approximate symmetry and the algebra of current components Dashen, R. F.; Gell-Mann, M. Physics Letters, Vol. 17, Issue 2 https://doi.org/10.1016/0031-9163(65)90277-5	journal	July 1965
Sum rule for the isovector magnetic moment of the nucleon Cabibbo, N.; Radicati, L. A. Physics Letters, Vol. 19, Issue 8 https://doi.org/10.1016/0031-9163(66)90448-3	journal	January 1966
Phases of resonant amplitudes: πN → πΔ Faiman, D.; Rosner, J. Physics Letters B, Vol. 45, Issue 4 https://doi.org/10.1016/0370-2693(73)90054-3	journal	August 1973
Test of amplitude signs in pion photoproduction predicted by the transformation from current to constituent quarks Gilman, F. J.; Karliner, I. Physics Letters B, Vol. 46, Issue 3 https://doi.org/10.1016/0370-2693(73)90158-5	journal	October 1973
Constituent quarks, current quarks and pionic decays of resonances Hey, A. J. G.; Weyers, J. Physics Letters B, Vol. 44, Issue 3 https://doi.org/10.1016/0370-2693(73)90221-9	journal	April 1973
A quark model of mesons based on chiral symmetry Casher, A.; Susskind, L. Physics Letters B, Vol. 44, Issue 2 https://doi.org/10.1016/0370-2693(73)90514-5	journal	April 1973
Analysis of pion photoproduction and the quark model Moorhouse, R. G.; Oberlack, H. Physics Letters B, Vol. 43, Issue 1 https://doi.org/10.1016/0370-2693(73)90540-6	journal	January 1973
Pionic transitions as tests of the connection between current and constituent quarks Gilman, F. J.; Kugler, M.; Meshkov, S. Physics Letters B, Vol. 45, Issue 5 https://doi.org/10.1016/0370-2693(73)90649-7	journal	August 1973
SU(3) × S(3) of currents, SUW(6) of constituents, and electromagnetic decays Love, A.; Nanopoulos, D. V. Physics Letters B, Vol. 45, Issue 5 https://doi.org/10.1016/0370-2693(73)90655-2	journal	August 1973
Decay rates of meson resonances in a quark model Micu, L. Nuclear Physics B, Vol. 10, Issue 3 https://doi.org/10.1016/0550-3213(69)90039-X	journal	May 1969
Quark graphs and angular distributions in positive-parity meson decays Colglazier, E. W.; Rosner, J. L. Nuclear Physics B, Vol. 27, Issue 2 https://doi.org/10.1016/0550-3213(71)90100-3	journal	January 1971
Further evidence for a 70, L = 2 baryon multiplet Faiman, D.; Rosner, J. L.; Weyers, J. Nuclear Physics B, Vol. 57, Issue 1 https://doi.org/10.1016/0550-3213(73)90332-5	journal	June 1973
Current quarks, constituent quarks, and symmetries of resonance decays Hey, A. J. G.; Rosner, J. L.; Weyers, J. Nuclear Physics B, Vol. 61 https://doi.org/10.1016/0550-3213(73)90359-3	journal	September 1973
SU(6)W on the light cone De Alwis, S. P. Nuclear Physics B, Vol. 55, Issue 2 https://doi.org/10.1016/0550-3213(73)90388-X	journal	May 1973
A schematic model of baryons and mesons Gell-Mann, M. Physics Letters, Vol. 8, Issue 3 https://doi.org/10.1016/S0031-9163(64)92001-3	journal	February 1964
An su (6)w fit to the negative parity baryon decay rates Faiman, D.; Plane, D. E. Nuclear Physics B, Vol. 50, Issue 1 https://doi.org/10.1016/S0550-3213(72)80023-3	journal	January 1972
Symmetries of Baryons and Mesons Gell-Mann, Murray Physical Review, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRev.125.1067	journal	February 1962
Spin Independence, W Spin, Parity, and SU ( 6 ) Symmetry Lipkin, H. J.; Meshkov, S. Physical Review, Vol. 143, Issue 4 https://doi.org/10.1103/PhysRev.143.1269	journal	March 1966
M 1 Photo-Excitation N → N * and SU ( 6 ) Symmetry Dalitz, R. H.; Sutherland, D. G. Physical Review, Vol. 146, Issue 4 https://doi.org/10.1103/PhysRev.146.1180	journal	June 1966
Symmetry Predictions from Sum Rules without Saturation Gilman, Frederick J.; Schnitzer, Howard J. Physical Review, Vol. 150, Issue 4 https://doi.org/10.1103/PhysRev.150.1362	journal	October 1966
Neutrino or Electron Energy Needed for Testing Current Commutation Relations Adler, Stephen L.; Gilman, Frederick J. Physical Review, Vol. 156, Issue 5 https://doi.org/10.1103/PhysRev.156.1598	journal	April 1967
Strong-Interaction Sum Rules for Pion-Hadron Scattering Gilman, Frederick J.; Harari, Haim Physical Review, Vol. 165, Issue 5 https://doi.org/10.1103/PhysRev.165.1803	journal	January 1968
Harmonic-Oscillator Model for Baryons Faiman, David; Hendry, Archibald W. Physical Review, Vol. 173, Issue 5 https://doi.org/10.1103/PhysRev.173.1720	journal	September 1968
Decays of Odd-Parity Baryon Resonances Carter, J. C.; Head, M. E. M. Physical Review, Vol. 176, Issue 5 https://doi.org/10.1103/PhysRev.176.1808	journal	December 1968
Algebraic Realizations of Chiral Symmetry Weinberg, Steven Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2604	journal	January 1969
Strain Dependence of Longitudinal Piezoelectric, Elastic, and Dielectric Constants of X -Cut Quartz Graham, R. A. Physical Review B, Vol. 6, Issue 12 https://doi.org/10.1103/PhysRevB.6.4779	journal	December 1972
Generalizations of W Spin Horn, D.; Ne'eman, Y. Physical Review D, Vol. 1, Issue 9 https://doi.org/10.1103/PhysRevD.1.2710	journal	May 1970
Regge Amplitude Arising from SU ( 6 ) W Vertices Carlitz, R.; Kislinger, M. Physical Review D, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevD.2.336	journal	July 1970
Current Matrix Elements from a Relativistic Quark Model Feynman, R. P.; Kislinger, M.; Ravndal, F. Physical Review D, Vol. 3, Issue 11 https://doi.org/10.1103/PhysRevD.3.2706	journal	June 1971
Resonance Decays Involving Two Partial Waves Petersen, W. P.; Rosner, J. L. Physical Review D, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevD.6.820	journal	August 1972
Resonance Decays Involving Vector Mesons Petersen, W. P.; Rosner, J. L. Physical Review D, Vol. 7, Issue 3 https://doi.org/10.1103/PhysRevD.7.747	journal	February 1973
Current and Constituent Quarks in the Light-Cone Quantization Eichten, E.; Feinberg, F.; Willemsen, J. F. Physical Review D, Vol. 8, Issue 4 https://doi.org/10.1103/PhysRevD.8.1204	journal	August 1973
B -Meson Production in π − d Interactions at 7 GeV c Cohen, D.; Ferbel, T.; Slattery, P. Physical Review D, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevD.8.23	journal	July 1973
SU(6) and Electromagnetic Interactions Bég, M. A. B.; Lee, B. W.; Pais, A. Physical Review Letters, Vol. 13, Issue 16 https://doi.org/10.1103/PhysRevLett.13.514	journal	October 1964
Renormalization of the Weak Axial-Vector Coupling Constant Weisberger, William I. Physical Review Letters, Vol. 14, Issue 25 https://doi.org/10.1103/PhysRevLett.14.1047	journal	June 1965
Calculation of the Axial-Vector Coupling Constant Renormalization in β Decay Adler, Stephen L. Physical Review Letters, Vol. 14, Issue 25 https://doi.org/10.1103/PhysRevLett.14.1051	journal	June 1965
SU(6) Clebsch-Gordan Coefficients for the Product 35 × 56 Carter, J. C.; Coyne, J. J.; Meshkov, S. Physical Review Letters, Vol. 14, Issue 13 https://doi.org/10.1103/PhysRevLett.14.523	journal	March 1965
W -Spin and B -Spin Subgroups of SU(12) Lipkin, H. J.; Meshkov, S. Physical Review Letters, Vol. 14, Issue 16 https://doi.org/10.1103/PhysRevLett.14.670	journal	April 1965
SU(6) and the Electromagnetic form Factors Barnes, K. J.; Carruthers, P.; Hippel, Frank von Physical Review Letters, Vol. 14, Issue 3 https://doi.org/10.1103/PhysRevLett.14.82	journal	January 1965
Photoproduction of N * Resonances in the Quark Model Moorhouse, R. G. Physical Review Letters, Vol. 16, Issue 17 https://doi.org/10.1103/PhysRevLett.16.772	journal	April 1966
Representation of Local Current Algebra at Infinite Momentum Dashen, Roger; Gell-Mann, Murray Physical Review Letters, Vol. 17, Issue 6 https://doi.org/10.1103/PhysRevLett.17.340	journal	August 1966
Mass Formulas and the Algebraic Structure of Superconvergence Relations Gilman, Frederick J.; Harari, Haim Physical Review Letters, Vol. 19, Issue 12 https://doi.org/10.1103/PhysRevLett.19.723	journal	September 1967
Evidence for Duality Constraints in Δ → π + Δ ( 1236 ) Decays Mehtani, U.; Fung, S. Y.; Kernan, A. Physical Review Letters, Vol. 29, Issue 24 https://doi.org/10.1103/PhysRevLett.29.1634	journal	December 1972
Chiral SU(2) ⊗ SU(2) Mixing and the Quark Model of Hadrons Gilman, F. J.; Kugler, M. Physical Review Letters, Vol. 30, Issue 11 https://doi.org/10.1103/PhysRevLett.30.518	journal	March 1973
Decay rates of Neutral Mesons Gell-Mann, M.; Sharp, D.; Wagner, W. G. Physical Review Letters, Vol. 8, Issue 6 https://doi.org/10.1103/PhysRevLett.8.261	journal	March 1962
Tables of Clebsch-Gordan Coefficients of S U 3 McNAMEE, P.; J., S.; Chilton, Frank Reviews of Modern Physics, Vol. 36, Issue 4 https://doi.org/10.1103/RevModPhys.36.1005	journal	October 1964

Cited By (4)

Partial-wave analysis of the reaction π N → π π N in the c.m energy range 1300-2000 MeV Herndon, D. J.; Longacre, R.; Miller, L. R. Physical Review D, Vol. 11, Issue 11 https://doi.org/10.1103/physrevd.11.3183	journal	June 1975
Comment on the phases of inelastic partial waves and their comparison with the quark model, the current to constituent quark transformation, SU ( 6 ) W , and vector dominance Söding, P. Physical Review D, Vol. 12, Issue 11 https://doi.org/10.1103/physrevd.12.3762	journal	December 1975
Hadronic and radiative D * widths Rosner, Jonathan L. Physical Review D, Vol. 88, Issue 3 https://doi.org/10.1103/physrevd.88.034034	journal	August 2013
Comment on the phases of inelastic partial waves and their comparison with the quark model, the current to constituent quark transformation, SU(6)$_W$ , and vector dominance Söding, P. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2017-11712	text	January 1975

Similar Records

Hadronic Decay Processes and the Transformation from Current to Constituent Quarks

Program Document · 2018 · OSTI ID:1442864

Gilman, Frederick J.

Cloudy Bag Model of hadrons

Conference · 1983 · OSTI ID:6740625

Miller, G A

Phenomenology of the current-constituent quark transformation for the vector-gluon model

Journal Article · 1976 · Physical Review. D, Particles Fields · OSTI ID:4016170

Fuchs, Norman H.

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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

Citation Formats

References (52)

Cited By (4)

Similar Records

Related Subjects