Unintegrated parton distributions of pions and nucleons from the CCFM equations in the single-loop approximation
Abstract
The unintegrated quark and gluon distributions in the pion and nucleon are analysed using the CCFM equations in the single-loop approximation. We utilise the transverse-coordinate (or impact-parameter) representation which diagonalises the equations and study in detail the dependence on the transverse coordinate induced by the CCFM evolution. We find considerable broadening of the transverse-momentum distributions with an increasing magnitude of the hard scale, Q. For instance, at the Bjorken x=0.1 the root mean squared transverse momentum of the gluons is enhanced by about 1 GeV when evolved from the the initial low scale to Q^2=10 GeV^2, and by about 2 GeV when evolved up to Q^2=100 GeV^2. The broadening effect is enhanced with decreasing Bjorken x, and is stronger for the gluons than for the quarks. Analytic solution for the average transverse momentum corresponding to the x-moments of the distributions is obtained. The parton luminosities are also discussed.
Keywords
Cite
@article{arxiv.hep-ph/0305219,
title = {Unintegrated parton distributions of pions and nucleons from the CCFM equations in the single-loop approximation},
author = {Agnieszka Gawron and Jan Kwiecinski and Wojciech Broniowski},
journal= {arXiv preprint arXiv:hep-ph/0305219},
year = {2008}
}