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Title: Target-mass corrections to the truncated moments of nucleon spin structure functions and quark-hadron duality

Abstract

The Cornell-Norton and Nachtmann moments of nucleon spin structure functions are discussed with a nonvanishing nucleon mass. Target-mass corrections to the truncated moments of the structure functions are calculated. Moreover, the corrections to the Bloom-Gilman quark-hadron dualities of g{sub 1}{sup p} and g{sub 2}{sup p} in both the inelastic resonance production region and the elastic one are analyzed.

Authors:
 [1];  [2];  [2]
  1. CCAST (World Laboratory), Post Office Box 8730, Beijing 100080 (China)
  2. (China)
Publication Date:
OSTI Identifier:
20991039
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.025203; (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; CORRECTIONS; MASS; NUCLEONS; QUARK-HADRON INTERACTIONS; SPIN; STRUCTURE FUNCTIONS

Citation Formats

Dong, Y. B., Institute of High Energy Physics, Chinese Academy of Sciences, and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lazhou 730000. Target-mass corrections to the truncated moments of nucleon spin structure functions and quark-hadron duality. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.025203.
Dong, Y. B., Institute of High Energy Physics, Chinese Academy of Sciences, & Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lazhou 730000. Target-mass corrections to the truncated moments of nucleon spin structure functions and quark-hadron duality. United States. doi:10.1103/PHYSREVC.75.025203.
Dong, Y. B., Institute of High Energy Physics, Chinese Academy of Sciences, and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lazhou 730000. Thu . "Target-mass corrections to the truncated moments of nucleon spin structure functions and quark-hadron duality". United States. doi:10.1103/PHYSREVC.75.025203.
@article{osti_20991039,
title = {Target-mass corrections to the truncated moments of nucleon spin structure functions and quark-hadron duality},
author = {Dong, Y. B. and Institute of High Energy Physics, Chinese Academy of Sciences and Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lazhou 730000},
abstractNote = {The Cornell-Norton and Nachtmann moments of nucleon spin structure functions are discussed with a nonvanishing nucleon mass. Target-mass corrections to the truncated moments of the structure functions are calculated. Moreover, the corrections to the Bloom-Gilman quark-hadron dualities of g{sub 1}{sup p} and g{sub 2}{sup p} in both the inelastic resonance production region and the elastic one are analyzed.},
doi = {10.1103/PHYSREVC.75.025203},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • We employ a novel new approach to study local quark-hadron duality using 'truncated' moments, or integrals of structure functions over restricted regions of x, to determine the degree to which individual resonance regions are dominated by leading twist. Because truncated moments obey the same Q{sup 2} evolution equations as the leading twist parton distributions, this approach makes possible for the first time a description of resonance region data and the phenomenon of quark-hadron duality directly from QCD.
  • Target mass corrections to the twist-4 terms f{approx}{sub 2}{sup p,n,d} as well as to the leading-twist a{approx}{sub 2} are discussed.
  • Jefferson Lab experiment E01-012 measured the {sup 3}He spin-structure functions and virtual photon asymmetries in the resonance region in the momentum transfer range 1.0<Q{sup 2}<4.0 (GeV/c){sup 2}. Our data, when compared with existing deep inelastic scattering data, were used to test quark-hadron duality in g{sub 1} and A{sub 1} for {sup 3}He and the neutron. In addition, preliminary results on the {sup 3}He spin-structure function g{sub 2}, on the Burkhardt-Cottingham sum rule and on higher twist effects through the x{sup 2}-weighted moment d{sub 2} of the neutron were presented.
  • We review progress in the study of quark-hadron duality in nucleon structure functions. New developments include insights into local duality obtained using truncated moments of structure functions, which allow duality-violating higher-twist contributions to be identified in individual resonance regions. Studies of pion electroproduction have also showed the first glimpses of duality in semi-inclusive cross sections, which if confirmed would greatly expand the scope of constraining the flavor and spin dependence of parton distributions.
  • New measurements of the spin structure functions of the proton and deuteron g{sub 1}{sup p}(x, Q{sup 2}) and g{sub 1}{sup d}(x, Q{sup 2}) in the nucleon resonance region are compared with extrapolations of target-mass-corrected next-to-leading-order (NLO) QCD fits to higher energy data. Averaged over the entire resonance region (W < 2 GeV), the data and QCD fits are in good agreement in both magnitude and Q{sup 2} dependence for Q{sup 2} > 1.7 GeV{sup 2}/c{sup 2}. This ''global'' duality appears to result from cancellations among the prominent ''local'' resonance regions: in particular strong {sigma}{sub 3/2} contributions in the {Delta}(1232) regionmore » appear to be compensated by strong {sigma}{sub 1/2} contributions in the resonance region centered on 1.5 GeV. These results are encouraging for the extension of NLO QCD fits to lower W and Q{sup 2} than have been used previously.« less