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

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.

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

References in corpus (3)

• Analytic Expression for the Joint x and Q^2 Dependences of the Structure Functions of Deep Inelastic Scattering
• Self-similar Properties of the Proton Structure at low x
• Determination of the longitudinal structure function $F_L$ at HERA

Cited by in corpus (5)

• Momentum Fractions of Quarks and Gluons in a Self-similarity based model of Proton
• An Analysis of Momentum Fractions of Quarks and Gluons in a model of Proton
• A Model Construction of Self-similarity based Double Parton Distribution Functions for proton-proton collision at LHC
• Self-similarity and the Froissart bound
• An overview of scale invariance in proton structure with holographic insights