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Resummation Studies on Vector Meson Decays and Chiral Symmetry Spontaneously Breaking in Chiral Constituent Quark Model

机译:手性成分夸克模型中矢量介子衰变和手性对称性自发性的恢复研究

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摘要

We study on-shell decays of light vector meson resonances $\rho$, $K^*$ and $\phi$ in the framework of chiral constituent quark model using resummation calculations. Such studies are necessary for showing that chiral dynamics works well at this energy scale. The effective action is derived by proper vertex method, where resummation of all orders of momentum expansion is accomplished. The loop effects of pseudoscalar meson are also taken into account, which play an important role at this energy scale. The numerical results agree well with the experimental data. A new method to explore the Chiral Symmetry Spontaneously Breaking (CSSB) is proposed. It is found that the unitarity of the effective meson theory resulted from resummation derivations demands an upper-limit to the momentum of vector meson. This upper-limit, being critical point, is just the energy scale of CSSB, and is found to be flavor-dependent.
机译:我们使用恢复计算研究了在手性成分夸克模型框架内光矢量介子共振$ \ rho $,$ K ^ * $和$ \ phi $的壳衰减。这样的研究对于证明手性动力学在该能级下表现良好是必要的。有效动作是通过适当的顶点方法得出的,其中所有动量展开的阶次都得以恢复。还考虑了伪标量介子的环路效应,在此能级上起着重要作用。数值结果与实验数据吻合良好。提出了一种探索手性对称性自发断裂的新方法。研究发现,由求和求导引起的有效介子理论的统一性要求矢量介子动量的上限。这个上限是关键点,只是CSSB的能量规模,并且被发现与风味有关。

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