By means of the gluon quantum saturation model based on super Yang-Mills theory and the Peterson fragmentation function,the D-meson production in deep inelastic ep(electron proton) scattering is investigated in the color glass condensate formalism.The calculations indicate the phenomenon that the charmed meson production cross section at LHeC(Large Hadron-electron Collider) energies does not depend on x may appear in small Q2 area.Finally,the predictive results of the D-meson production cross section versus transversal momentum are also given at LHeC energies and they will be validated by the LHeC experiment in the future.%利用建立在超杨-米尔斯理论基础上的胶子量子态饱和模型及Peterson璨夸克碎裂函数,在色玻璃凝聚理论框架下研究了ep(electron proton)深度非弹性散射中的D-介子产生。计算发现:在LHeC(Large Hadron-electronCollider)能量下,小Q2区域会出现极小Bjorken-x区域的璨介子产生截面不依赖于x变化的现象。就LHeC能量下D-介子产生截面随横向动量变化的实验现象给出了理论预言,理论结果将被即将运行的LHeC实验检验。
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