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

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 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.

Authors:
 [1];  [1]
  1. Jagellonian Univ., Krakow, PL (United States). M. Smoluchowski Inst. of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1407036
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Acta Physica Polonica. Series B
Additional Journal Information:
Journal Volume: 34; Journal Issue: 6; Journal ID: ISSN 0587-4254
Publisher:
Jagiellonian University
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bzdak, Adam, and Praszalowicz, Michael. An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model. United States: N. p., 2003. Web.
Bzdak, Adam, & Praszalowicz, Michael. An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model. United States.
Bzdak, Adam, and Praszalowicz, Michael. Sun . "An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model". United States. https://www.osti.gov/servlets/purl/1407036.
@article{osti_1407036,
title = {An attempt to construct pion distribution amplitude from the PCAC relation in the nonlocal chiral quark model},
author = {Bzdak, Adam and Praszalowicz, Michael},
abstractNote = {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.},
doi = {},
journal = {Acta Physica Polonica. Series B},
number = 6,
volume = 34,
place = {United States},
year = {2003},
month = {6}
}

Journal Article:
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