AI 中文总结
该研究针对夸克模型中用单一两体相互作用描述介子与重子谱的难题，提出质量依赖的短程连接型三夸克相互作用，可显著降低不兼容性，实现对两者基态谱的一致描述。
AI 中文摘要
我们综述了组分夸克哈密顿量与量子色动力学（QCD）之间的联系，并研究了用单一共同两体相互作用描述介子和重子谱这一长期存在的难题。经基态介子校准的哈密顿量会留下系统性的重子质量残差，该残差在轻夸克领域最大，向重味方向逐渐减小。我们表明，一种短程、依赖色自旋的连接型三夸克相互作用可大幅降低这种不兼容性。质量标度有限范围轮廓能产生高精度的重子谱，而与味无关的共同范围轮廓无法消除残留的味模式。该结果在校准集之外的额外基态重子上，以及通过对几种替代夸克模型哈密顿量的介子-重子兼容性分析得到验证。我们还对径向和轨道激发进行了基准测试，以确定静态致密价夸克哈密顿量仍可靠的范围，并为重子和多夸克构型中的两体和三体算符提供明确的色自旋矩阵元。在测试的价夸克空间表示内，结果表明，质量依赖的短程连接型三夸克相互作用提供了同时一致描述介子和重子基态谱所需的缺失贡献。
英文摘要
We review the connection between constituent-quark Hamiltonians and QCD and investigate the long-standing difficulty of describing meson and baryon spectra with one common two-body interaction. A Hamiltonian calibrated to ground-state mesons leaves systematic baryon mass residuals, largest in the light-quark sector and decreasing toward heavier flavors. We show that a short-range, color-spin-dependent connected three-quark interaction substantially reduces this incompatibility. Mass-scaled finite-range profiles yield high-accuracy baryon spectra, whereas flavor-independent common-range profiles do not remove the residual flavor pattern. The result is tested on additional ground-state baryons outside the calibration set and through meson--baryon compatibility analyses across several alternative quark-model Hamiltonians. We also benchmark radial and orbital excitations to identify the regime in which a static compact valence Hamiltonian remains reliable, and provide explicit color-spin matrix elements for two- and three-body operators in baryons and multiquark configurations. Within the tested valence-space representations, the results indicate that a mass-dependent short-range connected three-quark interaction provides the missing contribution required for a consistent simultaneous description of meson and baryon ground-state spectra.
Comments149 pages, 15 figures, 18 tables
