Approximation method for the nuclear structure functions at small $x$

TL;DR

This paper presents an approximation method for nuclear structure functions at very small Bjorken-x, demonstrating stability of the structure function relationships and providing numerical results for specific nuclei within the Electron-Ion Collider kinematic range.

Contribution

The paper introduces a stable approximation method for nuclear structure functions at small x, validated with numerical results for 12C and 208Pb using HIJING2.0.

Findings

Structure function relationships are stable for A at x ≤ 10^{-3}.

Numerical results for 12C and 208Pb are within EIC acceptance.

The ratio R^{A}_{F_{L}} is computed as R^{A}_{F_{2}} in the model.

Abstract

We have shown that the relationship between the DIS structure functions is stable for a nuclear target with mass number A at $x{\leq}10^{-3}$. Numerical results are provided for the specific nuclei 12C and 208Pb using the nuclear PDF parameterizations implemented in the HIJING2.0 model. These results fall whithin the EIC kinematic acceptance for heavy ion running. The ratio $R^{A}_{F_{L}}$ is calculated as the ratio $R^{A}_{F_{2}}$ in the HIJING2.0 model.