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

Journal Article · Sun Jun 01 00:00:00 EDT 2003 · Acta Physica Polonica. Series B

OSTI ID:1407036

Bzdak, Adam ^[1]; Praszalowicz, Michael ^[1]

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1. Jagellonian Univ., Krakow, PL (United States). M. Smoluchowski Inst. of Physics

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 π 2 in terms of a single integral over the quark momentum fraction μ. 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.

• Research Organization: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: AC02-05CH11231
• OSTI ID: 1407036
• Journal Information: Acta Physica Polonica. Series B, Journal Name: Acta Physica Polonica. Series B Journal Issue: 6 Vol. 34; ISSN 0587-4254
• Publisher: Jagiellonian University
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS