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Transversity form factors of the pion in chiral quark models

Wojciech Broniowski1,2,*, Alexander E. Dorokhov3,†, and Enrique Ruiz Arriola4,‡

  • 1The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, PL-31342 Kraków, Poland
  • 2Institute of Physics, Jan Kochanowski University, PL-25406 Kielce, Poland
  • 3Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, 114980, Dubna, Russia
  • 4Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada, Spain

  • *Wojciech.Broniowski@ifj.edu.pl
  • †dorokhov@theor.jinr.ru
  • ‡earriola@ugr.es
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Phys. Rev. D 82, 094001 – Published 5 November, 2010

DOI: https://doi.org/10.1103/PhysRevD.82.094001

Abstract

The transversity form factors of the pion, involving matrix elements of bilocal tensor currents, are evaluated in chiral quark models, both in the local Nambu-Jona-Lasinio with the Pauli-Villars regularization, as well as in nonlocal models involving momentum-dependent quark mass. After suitable QCD evolution, the agreement with recent lattice calculations is very good, in accordance to the fact that the spontaneously broken chiral symmetry governs the dynamics of the pion. Meson dominance of form factors with expected meson masses also works properly, conforming to the parton-hadron duality in the considered process.

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Phys. Rev. D 82, 094001– Published 5 November, 2010
  • Received 28 July 2010

© 2010 The American Physical Society

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