We examine interaction states between baryons in U (3) configurations. Such interaction states may represent the meson mass spectrum above the pion triplet. Our configuration space is the Lie group U (3) with a Hamiltonian structure for baryons as stationary states. Mesonic states come about via an interaction potential. The Hamiltonian can be diagonalized by a Rayleigh-Ritz method resulting in matrix element integrals that can be solved analytically for the toroidal degrees of freedom by expanding on a suitable set of base functions. We compare calculated eigenvalues for indefinite parity states to observed unflavoured meson masses.

中文翻译：

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来自重子相互作用态的轻介子质量？

我们检查U（3）配置中的重子之间的相互作用状态。这样的相互作用状态可以代表介子三重态以上的介子质谱。我们的配置空间是李汉群U（3），它具有哈密顿结构，用于重子作为稳态。中子态是通过相互作用势来产生的。哈密​​顿量可以通过瑞利-里兹（Rayleigh-Ritz）方法对角线化，从而生成矩阵元素积分，可以通过扩展一组合适的基函数来解析求解环形自由度。我们将不确定的奇偶状态的计算特征值与观察到的无味介子质量进行比较。