Isgur-Karl模型的再探讨
The Isgur-Karl model revisited
摘要：
我们展示了如何将Isgur-Karl模型与自旋味夸克算符展开相匹配，该展开用于非奇异负宇称L=1激发重子的1/Nc研究。利用状态和相互作用在置换群S_3下的变换性质，我们可以将算符系数表示为重叠积分，而不需要对夸克波函数的空间依赖性作任何假设。一般的质量算子导致参数自由质量关系和混合角的约束，是有效的超出通常的谐振子近似。具有谐振子波函数的Isgur-Karl模型提供了一个简单的反例，明确地证明了Matagne和Stancu最近提出的激发态重子1/Nc展开的替代算符基是不完整的。
英文摘要：
We show how to match the Isgur-Karl model to the spin-flavor quark operator expansion used in the 1/Nc studies of the non-strange negative parity L=1 excited baryons. Using the transformation properties of states and interactions under the permutation group S_3 we are able to express the operator coefficients as overlap integrals, without making any assumption on the spatial dependence of the quark wave functions. The general mass operator leads to parameter free mass relations and constraints on the mixing angles that are valid beyond the usual harmonic oscillator approximation. The Isgur-Karl model with harmonic oscillator wave functions provides a simple counterexample that demonstrates explicitly that the alternative operator basis for the 1/Nc expansion for excited baryons recently proposed by Matagne and Stancu is incomplete.
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