English

Quark structure of the pion and pion form factor

High Energy Physics - Phenomenology 2009-10-28 v1

Abstract

We consider the pion structure in the region of low and moderately high momentum transfers: at low Q2Q^2, the pion is treated as a composite system of constituent quarks; at moderately high momentum transfers, Q2=10÷25  GeV2Q^2=10\div25\;GeV^2, the pion \ff is calculated within perturbative QCD taking into account one--gluon hard exchange. Using the data on pion \ff at Q2<3  GeV2Q^2<3\;GeV^2 and pion axial--vector decay constant, we reconstruct the pion \wf in the soft and intermediate regions. This very wave function combined with one--gluon hard scattering amplitude allows a calculation of the pion \ff in the hard region Q2=10÷25  GeV2Q^2=10\div25\;GeV^2. A specific feature of the reconstructed pion \wf is a quasi--zone character of the qqˉq\bar q--excitations. On the basis of the obtained pion \wf and the data on deep inelastic scattering off the pion, the valence quark distribution in a constituent quark is determined.

Keywords

Cite

@article{arxiv.hep-ph/9503473,
  title  = {Quark structure of the pion and pion form factor},
  author = {V. Anisovich and D. Melikhov and V. Nikonov},
  journal= {arXiv preprint arXiv:hep-ph/9503473},
  year   = {2009}
}

Comments

22 pages, latex, 14 figures