论文标题
高$ q^2 $质子结构的行为通过Balitsky-Kovchegov方程
High $Q^2$ Behavior of the Proton Structure Function through the Balitsky-Kovchegov Equation
论文作者
论文摘要
许多实验和理论研究强调了质子结构函数的功率定律行为$ f_2（x，q^2）$，尤其是其功率常数对各种运动学变量的依赖性。在这项研究中，我们分析了使用Balitsky-Kovchegov方程的分析解决方案的质子结构功能$ f_2 $，重点是高$ Q^2 $制度和小型$ x $域。我们的结果表明，随着$ q^2 $的增加，坡度参数$λ$的增长率为$ f_2 $，显示出逐渐减少，接近$λ\ $λ\ pm 0.41 \ pm 0.01 $的限制值，大约$ q^2 $。我们建议$λ$的这种行为可能归因于诸如Gluon重叠和相位空间生长的抑制之类的机制。为了证实这些结论，需要进一步的高精度电子碰撞实验，包括$ q^2 $和$ x $的广泛范围。
Numerous experimental and theoretical investigations have highlighted the power law behavior of the proton structure function $ F_2(x, Q^2) $, particularly the dependence of its power constant on various kinematic variables. In this study, we analyze the proton structure function $ F_2 $ employing the analytical solution of the Balitsky-Kovchegov equation, with a focus on the high $ Q^2 $ regime and small $ x $ domains. Our results indicate that as $ Q^2 $ increases, the slope parameter $ λ$, which characterizes the growth rate of $ F_2 $, exhibits a gradual decrease, approaching a limiting value of $ λ\approx 0.41 \pm 0.01 $ for large $ Q^2 $. We suggest that this behavior of $ λ$ may be attributed to mechanisms such as gluon overlap and the suppression of phase space growth. To substantiate these conclusions, further high-precision electron-ion collision experiments are required, encompassing a broad range of $ Q^2 $ and $ x $.
