Nuclear longitudinal structure function in eA processes at the LHeC

TL;DR

This paper investigates the nuclear longitudinal structure functions in electron-ion collisions at the LHeC, using the KLN model to analyze gluon distributions and the impact of heavy quarks, highlighting significant contributions at small x.

Contribution

It introduces a detailed analysis of heavy quark effects on nuclear longitudinal structure functions within the KLN model at the LHeC, emphasizing the importance of nonlinear gluon dynamics.

Findings

Heavy contributions to the longitudinal structure function ratios are significant at small x.

The ratios R_g and R_L^{total} are analyzed and found to vary notably in the LHeC kinematic region.

Geometrical scaling transition from linear to nonlinear regimes depends on heavy quark mass effects.

Abstract

The nucleon and nuclear longitudinal structure functions are determined by the Kharzeev-Levin-Nardin (KLN) model of the low $x$ gluon distribution. The behavior of the gluon distribution ratio $R_{g}={G^{A}}/{AG^{p}}$ and the ratio $R_{L}^{total}={F_{L}^{A-total}}/{AF_{L}^{p-total}}$ in this processes are found. The heavy longitudinal structure function ratios in eA processes at the LHeC region are discussed. Heavy contributions to the ratio of the total longitudinal structure function are considerable and should not be neglected especially at smaller $x$ of the LHeC project. In the KLN model the new geometrical scaling for transition from the linear to nonlinear regions in accordance with the LHeC processes is used, whose results intensively depended on the heavy quarks mass effect.