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 · Fri Feb 01 00:00:00 EDT 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 Lab., 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; PRVDAQ

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (52)

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
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
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
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
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
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
$W$ -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
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
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
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
$B$ -Meson Production in $π^{-} d$ Interactions at 7 $\frac{GeV}{c}$ Cohen, D.; Ferbel, T.; Slattery, P. Physical Review D, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevD.8.23	journal	July 1973
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
Algebraic Realizations of Chiral Symmetry Weinberg, Steven Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2604	journal	January 1969
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
Chiral SU(2) $\otimes$ 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
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
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
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
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
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
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
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
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
Evidence for Duality Constraints in $Δ \to π + Δ (1236)$ 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
$M 1$ Photo-Excitation $N \to N^{*}$ 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
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
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
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
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
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
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
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
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
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
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

Cited By (3)

Partial-wave analysis of the reaction $π N \to π π N$ 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
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

Figures / Tables (10)

Similar Records

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

Journal Article · Mon Mar 01 00:00:00 EST 1976 · Physical Review. D, Particles Fields · OSTI ID:1442896

Fuchs, Norman H.

Test of amplitude signs in pion photoproduction predicted by the transformation from current to constituent quarks

Journal Article · Mon Oct 01 00:00:00 EDT 1973 · Phys. Lett., B, v. 46B, no. 3, pp. 426-430 · OSTI ID:1442896

Gilman, F J; Karliner, I

1. Photon Transition Amplitude Predicted by the Transformation Between Current and Constituent Quarks,
2. Saturation of the Drell-Hearn-Gerasimov Sum Rule

Technical Report · Thu Jun 14 00:00:00 EDT 2018 · OSTI ID:1442896

Karliner, Inga

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS