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Title: Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations

Abstract

We present the first calculation in lattice QCD of the lowest two moments of transverse spin densities of quarks in the nucleon. They encode correlations between quark spin and orbital angular momentum. Our dynamical simulations are based on two flavors of clover-improved Wilson fermions and Wilson gluons. We find significant contributions from certain quark helicity flip generalized parton distributions, leading to strongly distorted densities of transversely polarized quarks in the nucleon. In particular, based on our results and recent arguments by Burkardt [Phys. Rev. D 72, 094020 (2005)], we predict that the Boer-Mulders function h{sub 1}{sup perpendicular}, describing correlations of transverse quark spin and intrinsic transverse momentum of quarks, is large and negative for both up and down quarks.

Authors:
;  [1];  [2]; ;  [3]; ;  [4];  [5];  [6];  [7];  [8]
  1. Institut fuer Theoretische Physik, Universitaet Regensburg, 93040 Regensburg (Germany)
  2. Physik-Department der TU Muenchen, Institut fuer Theoretische Physik T39, James-Franck-Strasse, 85747 Garching (Germany)
  3. School of Physics, University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
  4. John von Neumann-Institut fuer Computing NIC/DESY, 15738 Zeuthen (Germany)
  5. Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX (United Kingdom)
  6. Deutsches Elektron-Synchrotron DESY, 22603 Hamburg (Germany)
  7. (Germany)
  8. Konrad-Zuse-Zentrum fuer Informationstechnik Berlin, 14195 Berlin (Germany)
Publication Date:
OSTI Identifier:
20951444
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 22; Other Information: DOI: 10.1103/PhysRevLett.98.222001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; D QUARKS; FLAVOR MODEL; GLUONS; HELICITY; ORBITAL ANGULAR MOMENTUM; QUANTUM CHROMODYNAMICS; SIMULATION; SPIN; TRANSVERSE MOMENTUM; U QUARKS

Citation Formats

Goeckeler, M., Schaefer, A., Haegler, Ph., Horsley, R., Zanotti, J. M., Nakamura, Y., Pleiter, D., Rakow, P. E. L., Schierholz, G., John von Neumann-Institut fuer Computing NIC/DESY, 15738 Zeuthen, and Stueben, H. Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.222001.
Goeckeler, M., Schaefer, A., Haegler, Ph., Horsley, R., Zanotti, J. M., Nakamura, Y., Pleiter, D., Rakow, P. E. L., Schierholz, G., John von Neumann-Institut fuer Computing NIC/DESY, 15738 Zeuthen, & Stueben, H. Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations. United States. doi:10.1103/PHYSREVLETT.98.222001.
Goeckeler, M., Schaefer, A., Haegler, Ph., Horsley, R., Zanotti, J. M., Nakamura, Y., Pleiter, D., Rakow, P. E. L., Schierholz, G., John von Neumann-Institut fuer Computing NIC/DESY, 15738 Zeuthen, and Stueben, H. Fri . "Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations". United States. doi:10.1103/PHYSREVLETT.98.222001.
@article{osti_20951444,
title = {Transverse Spin Structure of the Nucleon from Lattice-QCD Simulations},
author = {Goeckeler, M. and Schaefer, A. and Haegler, Ph. and Horsley, R. and Zanotti, J. M. and Nakamura, Y. and Pleiter, D. and Rakow, P. E. L. and Schierholz, G. and John von Neumann-Institut fuer Computing NIC/DESY, 15738 Zeuthen and Stueben, H.},
abstractNote = {We present the first calculation in lattice QCD of the lowest two moments of transverse spin densities of quarks in the nucleon. They encode correlations between quark spin and orbital angular momentum. Our dynamical simulations are based on two flavors of clover-improved Wilson fermions and Wilson gluons. We find significant contributions from certain quark helicity flip generalized parton distributions, leading to strongly distorted densities of transversely polarized quarks in the nucleon. In particular, based on our results and recent arguments by Burkardt [Phys. Rev. D 72, 094020 (2005)], we predict that the Boer-Mulders function h{sub 1}{sup perpendicular}, describing correlations of transverse quark spin and intrinsic transverse momentum of quarks, is large and negative for both up and down quarks.},
doi = {10.1103/PHYSREVLETT.98.222001},
journal = {Physical Review Letters},
number = 22,
volume = 98,
place = {United States},
year = {Fri Jun 01 00:00:00 EDT 2007},
month = {Fri Jun 01 00:00:00 EDT 2007}
}