Pion parton distributions in a nonlocal Lagrangian
Departamento de FÄ±sica TeÃ³rica and Instituto de FÄ±sica Corpuscular, Universidad de Valencia-CSIC, E-46100, Burjassot, Spain
* e-mail: Santiago.Noguera@uv.es
Accepted: 10 May 2006
Published online: 16 June 2006
We use phenomenological nonlocal Lagrangians, which lead to nontrivial forms for the quark propagator, to describe the pion. We define a procedure based on previous studies on nonlocal Lagrangians for the calculation of the pion parton distributions at low Q2. The obtained parton distributions fulfill all the wishful properties. Using a convolution approach we incorporate the composite character of the constituent quarks. We evolve, using the Renormalization Group, the calculated parton distributions to the experimental scale and compare favorably with the data and draw conclusions.
PACS: 11.10.St Bound and unstable states; Bethe-Salpeter equations – / 12.38.Lg Other nonperturbative calculations – / 13.60.Fz Elastic and Compton scattering – / 24.10.Jv Relativistic models –
© Società Italiana di Fisica and Springer-Verlag, 2006