In this study, we work out thermodynamic functions for a quantum gas of mesons described as color-electric charge dipoles. They refer to a particular parametrization of the trigonometric Rosen–Morse potential which allows to transform it to a perturbation of free quantum motion on the three-dimensional hypersphere, S3, a manifold that can host only charge-neutral systems, the charge dipoles being the configuration of the minimal number of constituents. To the amount charge neutrality manifests itself as an important aspect of the color confinement in the theory of strong interaction, the Quantum Chromodynamics, we expect our findings to be of interest to the evaluation of temperature phenomena in the physics of hadrons and in particular in a quantum gas of color charge dipoles as are the mesons. The results are illustrated for f0 and J/ψ mesons.

中文翻译：

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三角罗森-莫尔斯势的热力学性质及其在介子量子气体中的应用

在这项研究中，我们计算出被描述为彩色电荷偶极子的介子量子气体的热力学函数。他们指的是三角函数 Rosen-Morse 势的特定参数化，它允许将其转换为三维超球面上的自由量子运动的扰动，小号3，一个只能承载电荷中性系统的歧管，电荷偶极子是最少数量的成分的配置。在强相互作用理论中，电荷中性表现为颜色限制的一个重要方面，即量子色动力学，我们希望我们的发现对评估强子物理学中的温度现象，特别是在颜色电荷偶极子的量子气体和介子一样。结果说明为F0和Ĵ/ψ介子。