Nucleon structure functions in noncommutative space-time

TL;DR

This paper explores how noncommutative space-time modifies nucleon structure functions, showing improved agreement with experimental data at small x and establishing bounds on the noncommutative scale.

Contribution

It introduces new noncommutative vertices into the calculation of nucleon structure functions and demonstrates enhanced consistency with experimental data.

Findings

Better fit to experimental data at small x

Derived lower bounds for noncommutative scale 

Showed noncommutative corrections improve theoretical predictions

Abstract

In the context of noncommutative space-time, we investigate the nucleon structure functions which plays an important role to identify the internal structure of nucleons. We use the corrected vertices and employ new vertices that appear in two approaches of noncommutativity and calculate the proton structure functions in terms of noncommutative tensor \theta_{\mu\nu}. To check our result, we plot the nucleon structure function (NSF), F_2(x), and compare it with experimental data and the result coming out from the GRV, GJR and CT10 parametrization models. We show that new vertex which is arising the noncommutativity correction will lead us to better consistency between theoretical result and experimental data for NSF. This consistency would be better at small values of x-Bjorken variable. To indicate and confirm the validity of our calculations, we also act conversely and obtain an lower bound for the numerical values of \Lambda_{NC} scale which are corresponding to the recent reports.