We present a revision of predictions for nuclear shadowing in deep-inelastic scattering at small Bjorken \(x_{Bj}\) corresponding to kinematic regions accessible by the future experiments at electron-ion colliders. The nuclear shadowing is treated within the color dipole formalism based on the rigorous Green function technique. This allows incorporating naturally color transparency and coherence length effects, which are not consistently and properly included in present calculations. For the lowest \(|q\bar{q}\rangle \) Fock component of the photon, our calculations are based on an exact numerical solution of the evolution equation for the Green function. Here the magnitude of shadowing is tested using a realistic form for the nuclear density function, as well as various phenomenological models for the dipole cross section. The corresponding variation of the transverse size of the \(q{{\bar{q}}}\) photon fluctuations is important for \(x_{Bj}\gtrsim 10^{-4}\), on the contrary with the most of other models, which use frequently only the eikonal approximation with the “frozen” transverse size. At \(x_{Bj}\lesssim 0.01\), we calculate within the same formalism also a shadowing correction for the higher Fock component of the photon containing gluons. The corresponding magnitudes of gluon shadowing correction are compared adopting different phenomenological dipole models. Our results are tested by available data from the E665 and NMC collaborations. Finally, the magnitude of nuclear shadowing is predicted for various kinematic regions that should be scanned by the future experiments at electron-ion colliders.

我们提出了在小Bjorken \（x_ {Bj} \）的深部弹性散射中的核阴影预测的修订版，该区域对应于未来的电子离子对撞机可访问的运动区域。基于严格的格林函数技术，在彩色偶极形式主义内处理核阴影。这允许合并自然的颜色透明性和相干长度效果，这在当前的计算中并没有始终如一地正确地包括在内。对于最低的\（| q \ bar {q} \ rangle \）光子的Fock分量，我们的计算基于格林函数演化方程的精确数值解。在这里，阴影的大小使用核密度函数的逼真的形式以及偶极子横截面的各种现象学模型进行测试。\（q {{\ bar {q}}} \）光子涨落的横向尺寸的相应变化对于\（x_ {Bj} \ gtrsim 10 ^ {-4} \）很重要，与之相反，其他大多数模型，这些模型通常仅使用“冻结”横向尺寸的精确近似值。在\（x_ {Bj} \ lesssim 0.01 \），我们在相同的形式主义中还计算了包含胶子的光子的较高Fock分量的阴影校正。采用不同的现象学偶极子模型比较了胶子阴影校正的相应幅度。我们的结果已通过E665和NMC合作获得的可用数据进行了测试。最后，预测了各种运动学区域的核遮蔽强度，这些区域应由未来的电子离子对撞机实验进行扫描。