The full Giovannini parton branching equation is integrated numerically using the fourth-order Runge-Kutta method. Using a simple hadronization model, a charged-hadron multiplicity distribution is obtained. This model is then fitted to various experimental data up to the TeV scale to study how the Giovannini parameters vary with collision energy and type. The model is able to describe hadronic collisions up to the TeV scale and reveals the emergence of gluonic activity as the center-of-mass energy increases. A prediction is made for [Formula: see text].

中文翻译：

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乔瓦尼尼的部分子分支方程的数值解，直到 LHC 处的 TeV 能量

使用四阶龙格-库塔方法对完整的 Giovannini 部分分支方程进行数值积分。使用简单的强子化模型，获得了带电强子多重性分布。然后将该模型拟合到高达 TeV 尺度的各种实验数据，以研究 Giovannini 参数如何随碰撞能量和类型而变化。该模型能够描述高达 TeV 规模的强子碰撞，并揭示了随着质心能量增加而出现的胶子活动。对 [公式：见正文] 进行了预测。