Singularity free analysis of a self-similar model of proton structure function at small \textit{x}

TL;DR

This paper re-analyzes a self-similarity based model of the proton structure function at small x, ensuring it remains free of singularities across the entire kinematic range and exploring Froissart saturation incorporation.

Contribution

It introduces a singularity-free version of the self-similarity model for proton structure functions and discusses its validity range and potential saturation effects.

Findings

Model is valid in a restricted Q^2 range

Ensures singularity-free behavior across 0<x<1

Discusses incorporation of Froissart saturation

Abstract

In this paper we make re-analysis of a self-similarity based model of the proton structure function at small \textit{x} pursued in recent years. The additional assumption is that it should be singularity free in the entire kinematic range $0<\textit{x}<1$. Our analysis indicates that the model is valid in a more restrictive range of $Q^{2}$. We also discuss the possibility of incorporation of Froissart saturation condition in the model.