English

Fractal Inspired Models of Quark and Gluon Distributions and Longitudinal Structure Function FL(x, Q2) at small x

High Energy Physics - Phenomenology 2014-04-28 v1

Abstract

In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based approximate relation between the longitudinal structure function and the gluon density. As the Altarelli-Martinelli equation for the longitudinal structure function cannot be applied to Model I due to the presence of a singularity in the Bjorken x-space we consider Model II only. The qualitative feature of the prediction of Model II is found to be compatible with the QCD expectation.

Keywords

Cite

@article{arxiv.1101.0069,
  title  = {Fractal Inspired Models of Quark and Gluon Distributions and Longitudinal Structure Function FL(x, Q2) at small x},
  author = {Akbari Jahan and D. K. Choudhury},
  journal= {arXiv preprint arXiv:1101.0069},
  year   = {2014}
}

Comments

11 pages, 4 figures, Accepted for publication on 10-07-2010 in Indian Journal of Physics