Valence-quark distributions in the pion

Details Valence-quark distributions in the pion Valence-quark distributions in the pion

2000-08-24

arxiv.org/abs/nucl-th/0008049v2

Phys.Rev.C63:025213,2001

Physics

Nuclear Physics

Nuclear Theory

8 pages, 3 figures, REVTEX, aps.sty, epsfig.sty, minor corrections, version to appear in PRC

Scientific paper

10.1103/PhysRevC.63.025213

We calculate the pion's valence-quark momentum-fraction probability distribution using a Dyson-Schwinger equation model. Valence-quarks with an active mass of 0.30 GeV carry 71% of the pion's momentum at a resolving scale q_0=0.54 GeV = 1/(0.37 fm). The shape of the calculated distribution is characteristic of a strongly bound system and, evolved from q_0 to q=2 GeV, it yields first, second and third moments in agreement with lattice and phenomenological estimates, and valence-quarks carrying 49% of the pion's momentum. However, pointwise there is a discrepancy between our calculated distribution and that hitherto inferred from parametrisations of extant pion-nucleon Drell-Yan data.

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