We present a framework for investigating effective dynamics of SU(3) color charge. Two- and three-body effective interaction terms inspired by the Heisenberg spin model are considered. In particular, a toy model for a three-source ``baryon'' is constructed and investigated analytically and numerically for various choices of interactions. VPython is used to visualize the nontrivial color charge dynamics. The treatment should be accessible to undergraduate students who have taken a first course in quantum mechanics, and suggestions for independent student projects are proposed.

中文翻译：

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在本科量子力学中引入 SU(3) 色荷

我们提出了一个框架来研究 SU(3) 色荷的有效动力学。考虑了受海森堡自旋模型启发的二体和三体有效相互作用项。特别是，构建了一个三源“重子”的玩具模型，并针对各种交互选择进行了分析和数值研究。VPython 用于可视化非平凡的色荷动态。已经上过量子力学第一门课程的本科生应该可以接受这种治疗，并提出了独立学生项目的建议。