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arXiv 1602.05017hep-phnucl-th
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组分夸克模型中具有两个奇夸克和总自旋为零的二重子

Dibaryons with two strange quarks and total spin zero in a constituent quark model

Woosung Park, Aaron Park, Su Houng Lee

摘要:

研究了含两个奇异夸克且S=0的双重子态在味SU(3)对称和破缺两种情况下的对称性并构造了其波函数。讨论了如何从味SU(3)的完全反对称态中提取味SU(3)对称破缺情形下的重子的色$\otimes$同位旋$\otimes$自旋态。然后,利用变分方法,在一个具有约束相互作用和色自旋相互作用的组分夸克模型中,讨论了重子对强衰变为两个重子的稳定性。为了与格点量子色动力学在味SU(3)极限下的结果进行比较,我们在较宽的$π$介子质量范围内寻找稳定的H-重子。我们发现,在给定的势函数下,在真实夸克质量的SU(3)味对称破缺情形和在较宽夸克质量范围内的味SU(3)对称情形中,都不存在紧致的六夸克二重子态.

英文摘要:

We investigate the symmetry property and construct the wave function of the dibaryon states containing two strange quarks with S=0 in both the flavor SU(3) symmetric and breaking cases. We discuss how the color $\otimes$ isospin $\otimes$ spin states of dibaryon in the symmetry broking case of flavor SU(3) can be extracted from the fully antisymmetric states in flavor SU(3). The stability of the dibaryon against the strong decay into two baryons are then discussed, by using the variational method within a constituent quark model with a confining and color-spin interactions. To compare our results with that from lattice QCD in flavor SU(3) limit, we search for the stable H-dibaryon in a wide range of $π$ meson mass. We find that with the given potential, there is no compact six quark dibaryon state in the SU(3) flavor symmetry broken case with realistic quark masses as well as in flavor SU(3) symmetric case in a wide range of quark masses.

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