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arXiv 0901.4711hep-ph
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小x下的首扭核阴影、核广义部分子分布和核DVCS

Leading twist nuclear shadowing, nuclear generalized parton distributions and nuclear DVCS at small x

K. Goeke, V. Guzey, M. Siddikov

摘要:

本文推广了核遮蔽的首扭理论,计算了无自旋核的夸克和胶子广义部分子分布。我们预测非常大的核阴影的核GPD。在纯横向动量转移的限制下,我们的核GPD变成了依赖于碰撞参数的核部分子分布(PDF)。核遮蔽导致了碰撞参量b和光锥分数x之间的非平凡相关。我们预测了Pb-208在高能下的深虚康普顿散射(DVCS)振幅和DVCS截面。计算了Bethe-Heitler(BH)过程的截面,并讨论了从eA \to e γA截面中提取DVCS信号的问题.我们发现,在核形状因子极小值附近的动量转移t处,eA \to e γA微分截面由DVCS控制.我们还发现,核遮蔽导致DVCS束自旋不对称性,A_{LU},作为t的函数的戏剧性的振荡。A_{LU}改变符号的点的位置与核阴影的大小直接相关。

英文摘要:

We generalize the leading twist theory of nuclear shadowing and calculate quark and gluon generalized parton distributions (GPDs) of spinless nuclei. We predict very large nuclear shadowing for nuclear GPDs. In the limit of the purely transverse momentum transfer, our nuclear GPDs become impact-parameter-dependent nuclear parton distributions (PDFs). Nuclear shadowing induces nontrivial correlations between the impact parameter b and the light-cone fraction x. We make predictions for the deeply virtual Compton scattering (DVCS) amplitude and the DVCS cross section on Pb-208 at high energies. We calculate the cross section of the Bethe-Heitler (BH) process and address the issue of the extraction of the DVCS signal from the e A \to e γA cross section. We find that the e A \to e γA differential cross section is dominated by DVCS at the momentum transfer t near the minima of the nuclear form factor. We also find that nuclear shadowing leads to dramatic oscillations of the DVCS beam-spin asymmetry, A_{LU}, as a function of t. The position of the points where A_{LU} changes sign is directly related to the magnitude of nuclear shadowing.

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