夸克-费米夸克模型的非相对论性
The Thomas-Fermi Quark Model: Non-Relativistic Aspects
摘要：
本文首次数值研究了非相对论性的M-F统计多夸克模型。我们首先回顾了传统的TF模型，没有明确的自旋相互作用，发现在这种方法中的自旋分裂太小。一个明确的自旋相互作用，然后引入这需要一个广义的自旋“风味”的定义。我们研究重子态在这种方法中，可以描述两个不等价的波函数，但这样的状态可以适用于多个简并口味。我们发现，该模型需要一个空间分离的夸克口味，即使完全退化。虽然TF模型是为了研究多夸克态的可能性而设计的，但我们惊奇地发现，它可以用来拟合几乎所有的基态八重态和十重态重子的低能谱。这种状态的电荷半径的确定和比较与晶格计算和其他模型。得到的低能量拟合使我们可以外推到六夸克双奇异{ \it H}-重子态、高夸克含量的味对称奇异态和可能的六夸克核子-核子共振态。这里的重点是在这种方法中揭示的{ \it系统学}。我们认为我们的模型是一个通用的和方便的工具，快速评估新的，可能的约束，粒子状态的夸克数含量较高的特点。
英文摘要：
The first numerical investigation of non-relativistic aspects of the Thomas-Fermi (TF) statistical multi-quark model is given. We begin with a review of the traditional TF model without an explicit spin interaction and find that the spin splittings are too small in this approach. An explicit spin interaction is then introduced which entails the definition of a generalized spin "flavor". We investigate baryonic states in this approach which can be described with two inequivalent wave functions; such states can however apply to multiple degenerate flavors. We find that the model requires a spatial separation of quark flavors, even if completely degenerate. Although the TF model is designed to investigate the possibility of many-quark states, we find surprisingly that it may be used to fit the low energy spectrum of almost all ground state octet and decuplet baryons. The charge radii of such states are determined and compared with lattice calculations and other models. The low energy fit obtained allows us to extrapolate to the six-quark doubly strange {\it H}-dibaryon state, flavor symmetric strange states of higher quark content and possible six quark nucleon-nucleon resonances. The emphasis here is on the {\it systematics} revealed in this approach. We view our model as a versatile and convenient tool for quickly assessing the characteristics of new, possibly bound, particle states of higher quark number content.
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