arXiv 2402.166972024-02-26hep-ph

手征夸克模型中色单态、色八重态与双夸克结构的等价性

Equivalence among color singlet, color octet and diquark structure in a chiral quark model

Yue Tan, Xuejie Liu, Xiaoyun Chen, Yuheng Wu, Hongxia Huang, Jialun Ping

AI总结：

本文以 $T_{cc}$ 系统为例，在多高斯展开框架下证明色八重态可由相对完整的色单态基替代，而双夸克结构无法完全由分子态基替代。

摘要：

自夸克模型提出以来，理论研究者一直高度重视隐色通道（包括色八重态和双夸克结构）的研究。由于色范德瓦尔斯力的影响，隐色通道本身具有强吸引作用，这为共振态或束缚态的形成提供了动力学机制。本文以 $T_{cc}$ 系统为例，在多高斯展开方法的框架下，利用一组相对完整的色单态（即色单态基态加上其对应的高阶分量）来替代色八重态的贡献。类似地，我们尝试用一组相对完整的分子态（同时包含基态和激发态）来替代双夸克结构。我们的结果表明，色八重态结构可以被一组相对完整的色单态基有效替代，而双夸克结构则不能完全被一组同等完备的分子态基所替代。

英文摘要：

Since the quark model was put forward, theoretical researchers have always attached great importance to the study of hidden color channels (including color octets and diquark structure). Because of the influence of color Van der waals forces, the hidden color channel itself has strong attraction, which provides a dynamic mechanism for the formation of resonance state or bound state. In this paper, taking the $T_{cc}$ system as an example, under the framework of multi-Gaussian expansion method, a set of relatively complete color singlets (that is, the ground state of the color singlet plus its corresponding higher-order component) is used to replace the contribution of the color octet. Similarly, we endeavor to replace the diquark structure with a relatively complete set of molecular states, encompassing both the ground state and excited states. Our results demonstrate that the color octet structure can be effectively replaced by a set of relatively complete color singlet bases, while the diquark structure cannot be entirely substituted by an equivalently comprehensive set of molecular state bases.

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