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arXiv 0906.0802hep-ph
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置换群S_N与强子谱

Permutation group S_N and hadron spectroscopy

Dan Pirjol, Carlos Schat

摘要:

本文讨论了置换群S_N在强子物理中几个问题中的应用。本文提出了一种将夸克模型哈密顿量与1/Nc展开的有效哈密顿量相匹配的方法,该方法利用了S_N下的态和算符的变换性质。用这种方法从负宇称L=1激发重子的能谱中获得了夸克相互作用哈密顿量的自旋-味道结构信息。在假定最一般的二体夸克哈密顿量的条件下,我们导出了在任何夸克模型中都成立的两种态的质量和混合角之间的关联。这些关联约束了混合角,并可用于检验三体夸克相互作用的存在。我们发现,纯胶子交换模型是不赞成的数据,独立于任何假设的强子波函数。

英文摘要:

We discuss the application of the permutation group S_N to a few problems in hadron physics. A method is proposed for matching a quark model Hamiltonian onto the effective Hamiltonian of the 1/Nc expansion, which makes use of the transformation properties of the states and operators under S_N. This method is used to obtain information about the spin-flavor structure of the quark interaction Hamiltonian from the spectrum of the negative parity L=1 excited baryons. Assuming the most general 2-body quark Hamiltonian, we derive two correlations among the masses and mixing angles of these states which should hold in any quark model. These correlations constrain the mixing angles, and can be used to test for the presence of 3-body quark interactions. We find that the pure gluon-exchange model is disfavored by data, independently of any assumptions about the hadronic wave functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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