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Transversity Form Factors and Generalized Parton Distributions of the Pion in Chiral Quark Models
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  • Published: 14 October 2011

Transversity Form Factors and Generalized Parton Distributions of the Pion in Chiral Quark Models

  • Wojciech Broniowski1,2,
  • Alexander E. Dorokhov3,4 &
  • Enrique Ruiz Arriola5,6 

Few-Body Systems volume 52, pages 295–300 (2012)Cite this article

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Abstract

The transversity Generalized Parton Distributions (tGPDs) and related transversity form factors of the pion are evaluated in chiral quark models, both local (Nambu–Jona–Lasinio) and nonlocal, involving a momentum-dependent quark mass. The obtained tGPDs satisfy all a priori formal requirements, such as the proper support, normalization, and polynomiality. We evaluate generalized transversity form factors accessible from the recent lattice QCD calculations. These form factors, after the necessary QCD evolution, agree very well with the lattice data, confirming the fact that the spontaneously broken chiral symmetry governs the structure of the pion also in the case of the transversity observables.

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Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, 31342, Kraków, Poland

    Wojciech Broniowski

  2. Institute of Physics, Jan Kochanowski University, 25406, Kielce, Poland

    Wojciech Broniowski

  3. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    Alexander E. Dorokhov

  4. Institute for Theoretical Problems of Microphysics, Moscow State University, 119899, Moscow, Russia

    Alexander E. Dorokhov

  5. Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, 18071, Granada, Spain

    Enrique Ruiz Arriola

  6. Instituto Carlos I de Fisica Teórica y Computacional, Universidad de Granada, 18071, Granada, Spain

    Enrique Ruiz Arriola

Authors
  1. Wojciech Broniowski
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  2. Alexander E. Dorokhov
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  3. Enrique Ruiz Arriola
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Corresponding author

Correspondence to Wojciech Broniowski.

Additional information

This study was supported by the Bogoliubov-Infeld program (JINR), the Polish Ministry of Science and Higher Education, grants N N202 263438 and N N202 249235, Spanish DGI and FEDER grant FIS2008-01143/FIS, Junta de Andalucía grant FQM225-05, and EU Integrated Infrastructure Initiative Hadron Physics Project, contract RII3-CT-2004-506078. AED acknowledges partial support from the Russian Foundation for Basic Research, projects No. 10-02-00368 and No. 11-02-00112.

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Broniowski, W., Dorokhov, A.E. & Arriola, E.R. Transversity Form Factors and Generalized Parton Distributions of the Pion in Chiral Quark Models. Few-Body Syst 52, 295–300 (2012). https://doi.org/10.1007/s00601-011-0265-2

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  • Received: 30 August 2011

  • Accepted: 04 October 2011

  • Published: 14 October 2011

  • Issue Date: May 2012

  • DOI: https://doi.org/10.1007/s00601-011-0265-2

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Keywords

  • Quark Model
  • Generalize Parton Distribution
  • Chiral Quark Model
  • Transverse Lattice
  • Break Chiral Symmetry
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