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Pion Valence-quark Parton Distribution Function

Oct 30, 2014

4 pages

Published in:

Phys.Lett.B 749 (2015) 547-550

Published: Aug 15, 2015

e-Print:

1410.8250 [nucl-th]

DOI:

10.1016/j.physletb.2015.08.036

View in:

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Abstract: (Elsevier)

Within the Dyson–Schwinger equation formulation of QCD, a rainbow ladder truncation is used to calculate the pion valence-quark distribution function (PDF). The gap equation is renormalized at a typical hadronic scale, of order 0.5 GeV, which is also set as the default initial scale for the pion PDF. We implement a corrected leading-order expression for the PDF which ensures that the valence-quarks carry all of the pion's light-front momentum at the initial scale. The scaling behavior of the pion PDF at a typical partonic scale of order 5.2 GeV is found to be (1−x)ν , with ν≃1.6 , as x approaches one.

Note:

5 pages, 2 figures

Dynamical chiral symmetry breaking
Dyson–Schwinger equations
π -meson
Parton distribution functions
π-meson
parton
distribution function
dynamical symmetry breaking: chiral
higher-order: 0
Dyson-Schwinger equation

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