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arXiv 1306.3369hep-ph
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从KGBJS方程得到的胶子饱和标度

Gluon saturation scale from the KGBJS equation

Krzysztof Kutak, Dawid Toton

摘要:

CCFM方程及其带二次项的扩展形式(KGBJS方程)在固定和运行的耦合常数下求解。的KGBJS方程的解决方案相比,胶子密度从CCFM和BK方程。由于饱和度$Q_s$现在作为硬标度$p$的函数变得可用,我们观察到$p$的低值阻碍其与$\frac 1 x$的增长。此外,在比部分子横动量大得多的值处,饱和效应变得与硬标度无关,我们称之为饱和标度的解放。我们还介绍了与硬尺度相关的饱和尺度$P_s$,并研究了它的能量依赖性。我们观察到,新的尺度作为$x$的函数从胶子的横动量开始减小。

英文摘要:

The CCFM equation and its extended form with a quadratic term (KGBJS equation) are solved with fixed and running coupling constant. The solution of the KGBJS equation is compared to gluon densities resulting from the CCFM and BK equations. As the saturation scale $Q_s$ now becomes available as a function of the hard scale $p$ we observe that low values of $p$ impede its growth with $\frac 1 x$. Also, at values much larger than partons transversal momentum the saturation effects become independent on the hard scale what we call liberation of saturation scale. We also introduce the hard-scale-related saturation scale $P_s$ and investigate its energy dependence. We observe that the new scale as a function of $x$ decreases starting from the value of transversal momentum of gluon.

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