Valence quark distributions in the pion

Aug, 2000
8 pages
Published in:
  • Phys.Rev.C 63 (2001) 025213
e-Print:
Report number:
  • ANL-PHY-9646-TH-2000

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Abstract:
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.
  • lepton hadron: deep inelastic scattering
  • pi: distribution function
  • quark: valence
  • quark: mass
  • Dyson-Schwinger equation
  • quark: propagator
  • quark: momentum
  • numerical calculations: interpretation of experiments
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