Examining the structure functions of nucleons by introducing new Ansatz and their consequences on parton distribution functions in higher approximation

TL;DR

This paper introduces a new ansatz and uses N^3LO PDFs to study nucleon structure through GPDs, calculating form factors and radii, and comparing results with experimental data to improve understanding of parton distributions.

Contribution

The paper presents a novel ansatz and applies higher-order PDFs to analyze nucleon structure, providing new calculations of form factors and insights into parton distributions.

Findings

Calculated nucleon form factors and electric radius.

Validated results through comparison with experimental data.

Optimized model parameters for accurate nucleon structure description.

Abstract

By introducing ansatz and using a PDF at the $N^3LO$ approximation in this paper, we have studied the structure of the nucleons in generalized parton distributions (GPDs). For this purpose, the form factors and the electric radius of nucleons, as well as the quark's form factors, are calculated in this paper. These calculations give important new information about the nucleons and the distribution of partons within them. The results are analyzed, and to validate them, the abstract emphasizes the importance of comparing the results with existing research and experimental data. By varying the free appropriate parameters of the new ansatz, the study seeks to optimize the model, ensure its suitability for accurately describing the nucleon's internal structure, and provide valuable insights about the distribution of partons.