Quark-Hadron Duality in a Relativistic, Confining Model

Jeschonnek, Sabine; Van Orden, J W

doi:10.1103/PhysRevD.65.094038

Quark-Hadron Duality in a Relativistic, Confining Model

Journal Article · Sat Jun 01 00:00:00 EDT 2002 · Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRevD.65.094038· OSTI ID:789968

Jeschonnek, Sabine; Van Orden, J W

Quark-hadron duality is an interesting and potentially very useful phenomenon, as it relates the properly averaged hadronic data to a perturbative QCD result in some kinematic regimes. While duality is well established experimentally, our current theoretical understanding is still incomplete. We employ a simple model to qualitatively reproduce all the features of Bloom-Gilman duality as seen in electron scattering. In particular, we address the role of relativity, give an explicit analytic proof of the equality of the hadronic and partonic scaling curves, and show how the transition from coherent to incoherent scattering takes place.

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Research Organization:: Thomas Jefferson National Accelerator Facility, Newport News, VA (US)

Sponsoring Organization:: USDOE Office of Energy Research (ER) (US)

DOE Contract Number:: AC05-84ER40150

OSTI ID:: 789968

Report Number(s):: JLAB-THY-02-01; DOE/ER/40150-1974

Journal Information:: Phys. Rev. D, Journal Name: Phys. Rev. D Vol. 65

Country of Publication:: United States

Language:: English

References (36)

Duality in the inelastic structure function and the disappearing Δ resonance Carlson, Carl E.; Mukhopadhyay, Nimai C. Physical Review D, Vol. 47, Issue 5 https://doi.org/10.1103/PhysRevD.47.R1737	journal	March 1993
QCD and resonance physics. applications Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I. Nuclear Physics B, Vol. 147, Issue 5 https://doi.org/10.1016/0550-3213(79)90023-3	journal	February 1979
Quantum chromodynamics and Bloom-Gilman duality Carlson, Carl E.; Mukhopadhyay, Nimai C. Physical Review D, Vol. 41, Issue 7 https://doi.org/10.1103/PhysRevD.41.2343	journal	April 1990
The origins of quark–hadron duality: how does the square of the sum become the sum of the squares? Close, Frank E.; Isgur, Nathan Physics Letters B, Vol. 509, Issue 1-2 https://doi.org/10.1016/S0370-2693(01)00548-2	journal	June 2001
Inelastic Electron-Nucleus Scattering and Nucleon-Nucleon Correlations McVoy, K. W.; Van Hove, L. Physical Review, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRev.125.1034	journal	February 1962
Confinement and scaling in deep inelastic scattering Gurvitz, S. A. Physical Review D, Vol. 52, Issue 3 https://doi.org/10.1103/PhysRevD.52.1433	journal	August 1995
Local Duality Predictions for x ∼ 1 Structure Functions Melnitchouk, W. Physical Review Letters, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevLett.86.35	journal	January 2001
QCD sum rules and applications to nuclear physics Cohen, T. D.; Furnstahl, R. J.; Griegel, D. K. Progress in Particle and Nuclear Physics, Vol. 35 https://doi.org/10.1016/0146-6410(95)00043-I	journal	January 1995
Smearing method in the quark model Poggio, E. C.; Quinn, H. R.; Weinberg, S. Physical Review D, Vol. 13, Issue 7 https://doi.org/10.1103/PhysRevD.13.1958	journal	April 1976
Target-mass corrections and the Bloom-Gilman duality of the nucleon structure function Simula, Silvano Physics Letters B, Vol. 481, Issue 1 https://doi.org/10.1016/S0370-2693(00)00425-1	journal	May 2000
Deep inelastic scattering and final state interaction in an exactly solvable relativistic model Pace, E.; Salmè, G.; Lev, F. M. Physical Review C, Vol. 57, Issue 5 https://doi.org/10.1103/PhysRevC.57.2655	journal	May 1998
Mass corrections to scaling in deep inelastic processes Barbieri, R.; Ellis, J.; Gaillard, M. K. Nuclear Physics B, Vol. 117, Issue 1 https://doi.org/10.1016/0550-3213(76)90563-0	journal	December 1976
Excited charm mesons in semileptonic B ¯ decay and their contributions to a Bjorken sum rule Isgur, Nathan; Wise, Mark B. Physical Review D, Vol. 43, Issue 3 https://doi.org/10.1103/PhysRevD.43.819	journal	February 1991
Scaling and the Behavior of Nucleon Resonances in Inelastic Electron-Nucleon Scattering Bloom, E. D.; Gilman, F. J. Physical Review D, Vol. 4, Issue 9 https://doi.org/10.1103/PhysRevD.4.2901	journal	November 1971
Parton-hadron duality in QCD sum rules: Quantum-mechanical examples Blok, B.; Lublinsky, M. Physical Review D, Vol. 57, Issue 5 https://doi.org/10.1103/PhysRevD.57.2676	journal	March 1998
Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering Bloom, E. D.; Gilman, F. J. Physical Review Letters, Vol. 25, Issue 16 https://doi.org/10.1103/PhysRevLett.25.1140	journal	October 1970
Scaling limit of a nonrelativistic model of confined "quarks" Greenberg, O. W. Physical Review D, Vol. 47, Issue 1 https://doi.org/10.1103/PhysRevD.47.331	journal	January 1993
A quest for a wholly scaling variable Barbieri, R.; Ellis, J.; Gaillard, M. K. Physics Letters B, Vol. 64, Issue 2 https://doi.org/10.1016/0370-2693(76)90323-3	journal	September 1976
Positivity constraints for anomalous dimensions Nachtmann, Otto Nuclear Physics B, Vol. 63 https://doi.org/10.1016/0550-3213(73)90144-2	journal	October 1973
High-Energy Electroproduction and the Constitution of the Electric Current Callan, C. G.; Gross, David J. Physical Review Letters, Vol. 22, Issue 4 https://doi.org/10.1103/PhysRevLett.22.156	journal	January 1969
Parton Model with Variable Intermediate-State Parton Mass Greenberg, O. W.; Bhaumik, D. Physical Review D, Vol. 4, Issue 7 https://doi.org/10.1103/PhysRevD.4.2048	journal	October 1971
Parton-hadron duality: Resonances and higher twists Ji, Xiangdong; Unrau, Peter Physical Review D, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevD.52.72	journal	July 1995
Reply to “Comment on ‘Nucleon elastic form factors and local duality’ ” Ent, R.; Keppel, C. E.; Niculescu, I. Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.038302	journal	July 2001
Nucleon elastic form factors and local duality Ent, R.; Keppel, C. E.; Niculescu, I. Physical Review D, Vol. 62, Issue 7 https://doi.org/10.1103/PhysRevD.62.073008	journal	September 2000
Quark-hadron duality in structure functions Isgur, Nathan; Jeschonnek, Sabine; Melnitchouk, W. Physical Review D, Vol. 64, Issue 5 https://doi.org/10.1103/PhysRevD.64.054005	journal	August 2001
Heavy mesons in a relativistic model Zeng, J.; Van Orden, J. W.; Roberts, W. Physical Review D, Vol. 52, Issue 9 https://doi.org/10.1103/PhysRevD.52.5229	journal	November 1995
Response of nonrelativistic confined systems Gurvitz, S. A.; Rinat, A. S. Physical Review C, Vol. 47, Issue 6 https://doi.org/10.1103/PhysRevC.47.2901	journal	June 1993
Duality-violating 1/mQ effects in heavy quark decay Isgur, Nathan Physics Letters B, Vol. 448, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)01592-5	journal	February 1999
Is there evidence for large anomalous dimensions? Nachtmann, Otto Nuclear Physics B, Vol. 78, Issue 3 https://doi.org/10.1016/0550-3213(74)90591-4	journal	September 1974
Demythification of electroproduction local duality and precocious scaling De Rújula, A.; Georgi, Howard; David Politzer, H. Annals of Physics, Vol. 103, Issue 2 https://doi.org/10.1016/S0003-4916(97)90003-8	journal	February 1977
QCD and resonance physics. theoretical foundations Shifman, M. A.; Vainshtein, A. I.; Zakharov, V. I. Nuclear Physics B, Vol. 147, Issue 5 https://doi.org/10.1016/0550-3213(79)90022-1	journal	February 1979
Evidence for Valencelike Quark-Hadron Duality Niculescu, I.; Armstrong, C. S.; Arrington, J. Physical Review Letters, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevLett.85.1182	journal	August 2000
Experimental Verification of Quark-Hadron Duality Niculescu, I.; Armstrong, C. S.; Arrington, J. Physical Review Letters, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevLett.85.1186	journal	August 2000
Scaling of space and timelike response of confined relativistic particles Paris, Mark W.; Pandharipande, Vijay R. Physics Letters B, Vol. 514, Issue 3-4 https://doi.org/10.1016/S0370-2693(01)00794-8	journal	August 2001
Comment on “Nucleon elastic form factors and local duality” Simula, Silvano Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.038301	journal	July 2001
Final state interaction contribution to the response of confined relativistic particles Paris, Mark W.; Pandharipande, Vijay R. Physical Review C, Vol. 65, Issue 3 https://doi.org/10.1103/PhysRevC.65.035203	journal	February 2002

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