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arXiv 2212.10656hep-phcond-mat.stat-mech
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色弦渗透模型中横动量分布的软硬标度

Soft and hard scales of the transverse momentum distribution in the Color String Percolation Model

J. R. Alvarado García, D. Rosales Herrera, P. Fierro, J. E. Ramírez, A. Fernández Téllez, C. Pajares

备注：
24 pages, 10 figures
发表信息：
J. Phys. G: Nucl. Part. Phys. 50 125105 (2023)
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AI总结：

本文在色弦渗透模型中，通过q-高斯分布描述弦张力涨落，确定了横动量分布的软硬标度，并引入颜色抑制因子，分析了pp和AA碰撞数据，发现参数随能量和中心度单调变化，并给出了允许夸克-胶子等离子体形成的相图。

摘要：

在色弦模型中，横动量分布（TMD）是通过将Schwinger机制与弦张力涨落分布进行卷积得到的。考虑到这些涨落的q-高斯分布，TMD成为超几何合流函数，能够充分再现低和高$p_T$值下的特征标度。在这种方法中，TMD的硬标度是弦张力涨落采用重尾分布的结果，其宽度随$\sqrt{s}$、多重数或中心度的增加而增大。本文通过确定颜色抑制因子，引入了色弦渗透模型中TMD的完整信息，该因子现在也依赖于q-高斯的参数。为此，我们分析了不同质心能量、多重数和中心度下pp和AA碰撞的报告数据。特别是，对于最小偏置pp碰撞，我们发现q-高斯参数和有效温度是质心能量的单调递增函数。对于固定$\sqrt{s}$下作为中心度函数的AA碰撞，也得到了类似的结果。我们将这些结果总结在一个相图中，该相图指示了允许夸克-胶子等离子体形成的q-高斯参数区域。

英文摘要：

In color string models, the transverse momentum distribution (TMD) is obtained through the convolution of the Schwinger mechanism with the string tension fluctuations distribution. Considering a $q$-Gaussian distribution for these fluctuations, the TMD becomes a hypergeometric confluent function that adequately reproduces the characteristic scales at low and high $p_T$ values. In this approach, the hard scale of the TMD is a consequence of considering a heavy-tailed distribution for the string tension fluctuations whose width rises as $\sqrt{s}$, multiplicity or centrality increases. In this paper, we introduce the complete information of the TMD in the color string percolation model by means of the determination of the color suppression factor, which now also depends on the parameters of the $q$-Gaussian. To this end, we analyze the reported data on pp and AA collisions at different center of mass energies, multiplicities, and centralities. In particular, for minimum bias pp collisions, we found that the $q$-Gaussian parameters and the effective temperature are monotonically increasing functions of the center of mass energy. Similar results are found for AA collisions as a function of the centrality at fixed $\sqrt{s}$. We summarize these results in a phase diagram that indicates the $q$-Gaussian parameters region allowing the quark-gluon plasma formation.

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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