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