Spin Structure of the Pion

D. Brömmel, M. Diehl, M. Göckeler, Ph. Hägler, R. Horsley, Y. Nakamura, D. Pleiter, P. E. L. Rakow, A. Schäfer, G. Schierholz, H. Stüben, and J. M. Zanotti (QCDSF/UKQCD Collaborations)
Phys. Rev. Lett. 101, 122001 – Published 17 September 2008

Abstract

We present the first calculation of the transverse spin structure of the pion in lattice QCD. Our simulations are based on two flavors of nonperturbatively improved Wilson fermions, with pion masses as low as 400 MeV in volumes up to (2.1fm)3 and lattice spacings below 0.1 fm. We find a characteristic asymmetry in the spatial distribution of transversely polarized quarks. This asymmetry is very similar in magnitude to the analogous asymmetry we previously obtained for quarks in the nucleon. Our results support the hypothesis that all Boer-Mulders functions are alike.

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  • Received 26 August 2007

DOI:https://doi.org/10.1103/PhysRevLett.101.122001

©2008 American Physical Society

Authors & Affiliations

D. Brömmel1,2, M. Diehl1, M. Göckeler2, Ph. Hägler3,*, R. Horsley4, Y. Nakamura5, D. Pleiter5, P. E. L. Rakow6, A. Schäfer2, G. Schierholz1,5, H. Stüben7, and J. M. Zanotti4 (QCDSF/UKQCD Collaborations)

  • 1Deutsches Elektronen-Synchrotron DESY, 22603 Hamburg, Germany
  • 2Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany
  • 3Institut für Theoretische Physik T39, Physik-Department der TU München, 85747 Garching, Germany
  • 4School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
  • 5John von Neumann-Institut für Computing NIC/DESY, 15738 Zeuthen, Germany
  • 6Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom
  • 7Konrad-Zuse-Zentrum für Informationstechnik Berlin, 14195 Berlin, Germany

  • *phaegler@ph.tum.de

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Vol. 101, Iss. 12 — 19 September 2008

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