Chiral Constituent quarks and their role in quark distribution functions of nucleon and pion

Abstract

We investigate the structure of constituent quarks and study implications for quark distribution functions of hadrons. Constituent quarks are constructed by dressing bare quarks with Goldstone bosons using the chiral quark model. We calculate resulting corrections to the twist-2 structure functions $f_1(x)$, $g_1(x)$ and $h_1(x)$. The Goldstone boson fluctuations produce a flavor asymmetry of the quark distribution in the nucleon in agreement with experimental data. They also generate significant depolarization effects which reduce the fraction of the nucleon spin carried by quarks. Corrections to the transversity spin structure function $h_1(x)$ differ from those to $g_1(x)$, and in particular we find a large reduction (40%) of the $d$-quark tensor charge, which is consistent with recent lattice calculations. We also study the pion structure function and find the momentum fraction carried by the sea quarks in the pion to be considerably larger than that in the nucleon.

33 pages, LaTeX with epsfig.sty, 6 PostScript figures

References in corpus (3)

• Two-loop anomalous dimensions for the structure function h1
• Double-Spin Transverse Asymmetries in Drell-Yan Processes
• Chiral-odd transversity spin structure function $h_1(x)$ of the nucleon in a constituent quark model

Cited by in corpus (33)

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• Gluon Virtuality and Heavy Sea Quark Contributions to the Spin-Dependent g_1 Structure Function
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