The nucleon and nuclear longitudinal structure functions are determined by the Kharzeev-LevinNardin (KLN) model of the low x gluon distribution. The behavior of the gluon distribution ratio Rg = G A /AG p and the ratio Rin 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.
The nonlinear behavior in electron–nucleus collisions for nuclei with mass number [Formula: see text] and 265 at very small [Formula: see text] regime [Formula: see text] with low and moderate [Formula: see text] is studied. The charm and bottom heavy quarks contributions to the reduced cross-section and ratio of structure functions [Formula: see text] to [Formula: see text] are investigated by using the Kharzeev–Levin–Nardi phenomenological ansatz at LO and NLO analyses.
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