A Study on the Structure Functions and the radius of the Nucleons

TL;DR

This paper explores nucleon structure functions using a statistical model based solely on nucleon radius, estimating neutron and proton radii and analyzing related sum rules to understand nucleon properties.

Contribution

It introduces a model linking nucleon structure functions directly to their radius, providing new estimates for neutron and proton radii and insights into sum rules.

Findings

Neutron radius estimated at 0.8 fm.

Proton radius matches accepted charge radius of 0.865 fm.

GT sum rule analysis yields interesting conclusions.

Abstract

We have investigated the properties of the structure functions of the nucleons in the context of the statistical model using only the radius parameter of the respective nucleons. The radius of the neutron has been estimated and is found to be 0.8fm. It is interesting to observe that the proton radius 0.865fm which exactly equals to the most accepted charge radius of the proton and which in turn characterizes proton as a meso object, yields reasonable results for the structure function and its properties. GT sum rule has been investigated with some interesting conclusions.