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arXiv 1101.0288hep-ph
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深度非弹性散射中偶极-质子截面的能量依赖性

On the Energy Dependence of the Dipole-Proton Cross Section in Deep Inelastic Scattering

Carlo Ewerz, Andreas von Manteuffel, Otto Nachtmann

摘要:

研究了高能虚光子-质子散射的偶极图像。它表明,在文献中使用的偶极子截面中的能量变量的不同选择是不相关的,通过简单的参数等同于典型的偶极子的大小和逆光子虚拟性,相反,通常所说的。我们认为,以比约克-x为能量变量的结构函数的良好拟合质量(严格来说,这在偶极图中是不合理的)可以理解为在固定的小x时增加Q^2所发生的标度违规的结果。我们证明了无质量夸克的偶极公式具有卷积结构。由此,我们得到了大、小Q^2时的结构函数F_2与小、大偶极尺寸r时的偶极-质子截面之间的导数关系。

英文摘要:

We study the dipole picture of high-energy virtual-photon-proton scattering. It is shown that different choices for the energy variable in the dipole cross section used in the literature are not related to each other by simple arguments equating the typical dipole size and the inverse photon virtuality, contrary to what is often stated. We argue that the good quality of fits to structure functions that use Bjorken-x as the energy variable - which is strictly speaking not justified in the dipole picture - can instead be understood as a consequence of the sign of scaling violations that occur for increasing Q^2 at fixed small x. We show that the dipole formula for massless quarks has the structure of a convolution. From this we obtain derivative relations between the structure function F_2 at large and small Q^2 and the dipole-proton cross section at small and large dipole size r, respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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