An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model

2003/05/20 by A. Bzdak, M. Praszalowicz
Physics and Astronomy · #hep-ph

paper · pdf

published as Acta Phys.Polon. B34 (2003) 3401-3416 · To appear in the special issue of Acta Physica Polonica to celebrate the 65th Birthday of Professor Jan Kwiecinski. 14 pages, 4 figures

arxiv created 2003/05/20 · arxiv updated 2009/11/30

Abstract

Using the PCAC relation, we derive a compact formula for the pion decay constant F_π in the nonlocal chiral quark model. For practical calculations this formula may be used both in the Minkowski and in the Euclidean space. For the pion momentum P_μ→0 it reduces to the well known expression derived earlier by other authors. Using a generalized dipole Ansatz for the momentum dependence of the constituent quark mass in the Minkowski space, we express F_π² in terms of a single integral over the quark momentum fraction u. We interpret the integrand as a pion distribution amplitude ϕ(u). We discuss its properties and compare with the πDA's obtained in other models.

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