An Analysis of Momentum Fractions of Quarks and Gluons in a model of Proton

Abstract

Momentum sum rule can be used as an inequality to estimate the lower and upper bounds of the momentum fractions of quarks and gluons in a model of proton valid in a limited \textit{x} range. We compute such bounds in a self-similarity based model of proton structure function valid in the range $6.2\times 10^{-7}\le x\le 10^{-2}$. The results conform to the asymptotic QCD expectations.

8 pages, Accepted for publication in Mod. Phys. Lett. A

References in corpus (2)

• Do gluons carry half of the nucleon momentum?
• Momentum Fractions of Quarks and Gluons in a Self-similarity based model of Proton

Cited by in corpus (4)

• Momentum Fractions carried by quarks and gluons in models of proton structure functions at small $x$
• Froissart bound and self-similarity based models of proton structure functions
• A lower bound on the Longitudinal Structure Function at small x from a self-similarity based model of Proton
• An overview of scale invariance in proton structure with holographic insights