Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models

Details Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models

2011-08-30

arxiv.org/abs/1108.5938v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 3 figures, presented by WB at LIGHTCONE 2011, 23 - 27 May, 2011, Dallas

Scientific paper

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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