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Title: Quark-hadron duality in neutrino scattering

Abstract

We present a phenomenological model of the quark-hadron transition in neutrino-nucleon scattering. Using recently extracted weak nucleon transition form factors, we investigate the extent to which local and global quark-hadron duality is applicable in the neutrino F{sub 1},F{sub 2}, and F{sub 3} structure functions and contrast this with duality in electron scattering. Our findings suggest that duality works relatively well for neutrino-nucleon scattering for the F{sub 2} and F{sub 3} structure functions but not as well for F{sub 1}. We also calculate the quasielastic, resonance, and deep inelastic contributions to the Adler sum rule and find it to be satisfied to within 10% for 0.5(less-or-similar sign)Q{sup 2}(less-or-similar sign)2 GeV{sup 2}.

Authors:
;  [1];  [2]
  1. Universitaet Dortmund, Institut fuer Physik, D-44221 Dortmund (Germany)
  2. Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
Publication Date:
OSTI Identifier:
20990970
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevC.75.015202; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; DEEP INELASTIC SCATTERING; DUALITY; ELECTRONS; FORM FACTORS; NEUTRINO-NUCLEON INTERACTIONS; NEUTRINOS; NUCLEONS; QUARK-HADRON INTERACTIONS; STRUCTURE FUNCTIONS; SUM RULES

Citation Formats

Lalakulich, O., Paschos, E. A., and Melnitchouk, W.. Quark-hadron duality in neutrino scattering. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.015202.
Lalakulich, O., Paschos, E. A., & Melnitchouk, W.. Quark-hadron duality in neutrino scattering. United States. doi:10.1103/PHYSREVC.75.015202.
Lalakulich, O., Paschos, E. A., and Melnitchouk, W.. Mon . "Quark-hadron duality in neutrino scattering". United States. doi:10.1103/PHYSREVC.75.015202.
@article{osti_20990970,
title = {Quark-hadron duality in neutrino scattering},
author = {Lalakulich, O. and Paschos, E. A. and Melnitchouk, W.},
abstractNote = {We present a phenomenological model of the quark-hadron transition in neutrino-nucleon scattering. Using recently extracted weak nucleon transition form factors, we investigate the extent to which local and global quark-hadron duality is applicable in the neutrino F{sub 1},F{sub 2}, and F{sub 3} structure functions and contrast this with duality in electron scattering. Our findings suggest that duality works relatively well for neutrino-nucleon scattering for the F{sub 2} and F{sub 3} structure functions but not as well for F{sub 1}. We also calculate the quasielastic, resonance, and deep inelastic contributions to the Adler sum rule and find it to be satisfied to within 10% for 0.5(less-or-similar sign)Q{sup 2}(less-or-similar sign)2 GeV{sup 2}.},
doi = {10.1103/PHYSREVC.75.015202},
journal = {Physical Review. C, Nuclear Physics},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
  • We present a phenomenological model of the quark-hadron transition in neutrino-nucleon scattering. Using recently extracted weak nucleon transition form factors, we investigate the extent to which local and global quark-hadron duality is applicable in the neutrino F{sub 1}, F{sub 2} and F{sub 3} structure functions, and contrast this with duality in electron scattering. Our findings suggest that duality works relatively well for neutrino-nucleon scattering for the F{sub 2} and F{sub 3} structure functions, but not as well for F{sub 1}. We also calculate the quasi-elastic, resonance and deep inelastic contributions to the Adler sum rule, and find it to bemore » satisfied to within 10% for 0.5 < Q{sup 2} < 2 GeV{sup 2}.« less
  • At high enough energies asymptotic freedom guarantees the deep inelastic scattering cross sections to be calculated as nearly free electron-quark scattering. However, confinement guarantees that the experimentally observed final states particles are hadrons. Low-energy quark hadron duality suggests that the hadronic cross sections, when averaged over an appropriate energy range, nevertheless coincide with the naive leading-twist quark-gluon calculations. Deep inelastic inclusive scattering shows that scaling at modest Q{sup 2} and v already arises from very few resonance channels. This is reflected by the striking agreement (<10%) between data in the nucleon resonance region and the deep inelastic (W{sup 2}>4GeV{sup 2})more » region for the Q{sup 2}>0.5 (GeV/c){sup 2}, known as the Bloom-Gilman duality. Electron-hadron scattering allows for further investigation of quark-hadron duality by virtue of its ability to select resonances, by tagging with either spin or flavor.« less
  • The duality between partonic and hadronic descriptions of physical phenomena is one of the most remarkable features of strong interaction physics. A classic example of this is in electron-nucleon scattering, in which low-energy cross sections, when averaged over appropriate energy intervals, are found to exhibit the scaling behavior expected from perturbative QCD. We present a comprehensive review of data on structure functions in the resonance region, from which the global and local aspects of duality are quantified, including its flavor, spin and nuclear medium dependence. To interpret the experimental findings, we discuss various theoretical approaches which have been developed tomore » understand the microscopic origins of quark-hadron duality in QCD. Examples from other reactions are used to place duality in a broader context, and future experimental and theoretical challenges are identified.« less
  • A phenomenological study of quark-hadron duality in electron and neutrino scattering on nuclei is performed. We compute the structure functions F{sub 2} and xF{sub 3} in the resonance region within a framework that includes the Dortmund-group model for the production of the first four lowest-lying baryonic resonances and a relativistic mean-field model for nuclei. We consider four-momentum transfers between 0.2 and 2.5 GeV{sup 2}. The results indicate that nuclear effects play a different role in the resonance and deep inelastic scattering (DIS) region. We find, that local duality does not work well. In the studied range of four-momentum transfers, themore » computed nuclear structure functions slide along the DIS curve; the integrated strength in the resonance region, however, is considerably lower than the DIS one.« less
  • Quark-hadron (QH) duality in lepton scattering off nucleons is studied with the resonance quark model. It is shown that in the case of neutrino scattering off an isoscalar target the duality is simultaneously observed for charged and neutral currents xF{sub 1}{sup n}u{sup N}, F{sub 2}{sup n}u{sup N}, and xF{sub 3}{sup n}u{sup N} weak structure functions.We demonstrate that the QH duality can be a useful property for modeling structure functions in the so-called resonance region. As an example it is shown that combining relativistic quark model predictions with duality arguments allows a construction of the inclusive resonance F{sub 2}{sup ep} structuremore » function.« less