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arXiv 2303.17865hep-lat
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来自格点QCD的Ξ_c-Ξ_c′混合

$Ξ_c-Ξ_c^{\prime}$ mixing From Lattice QCD

Hang Liu, Liuming Liu, Peng Sun, Wei Sun, Jin-Xin Tan, Wei Wang, Yi-Bo Yang, Qi-An Zhang

AI总结:

本文利用格点QCD计算Ξ_c和Ξ_c′重子的两点关联函数,采用两种独立方法确定二者混合角为1.2°±0.1°,表明该混合不足以解释粲重子弱衰变中的大SU(3)对称性破缺效应。

摘要:

在重夸克极限下,含两个轻夸克的最低质量粲重子可以构成SU(3)三重态和六重态。SU(3)三重态中的Ξ_c与六重态中的Ξ_c′具有相同的J^{PC}量子数,并且由于粲夸克质量有限以及奇异夸克比上/下夸克更重,二者可以发生混合。我们通过从格点QCD计算Ξ_c和Ξ_c′重子的两点关联函数来研究Ξ_c-Ξ_c′混合。基于格点数据,我们采用两种独立方法确定Ξ_c与Ξ_c′之间的混合角。在进行手征外推和连续极限外推后,发现混合角θ为1.2°±0.1°,这似乎不足以解释在粲重子弱衰变中观察到的大SU(3)对称性破缺效应。

英文摘要:

In heavy quark limit, the lowest-lying charmed baryons with two light quarks can form an SU(3) triplet and sextet. The $Ξ_c$ in the SU(3) triplet and $Ξ_c'$ in the sextet have the same $J^{PC}$ quantum number and can mix due to the finite charm quark mass and the fact the strange quark is heavier than the up/down quark. We explore the $Ξ_c$-$Ξ_c'$ mixing by calculating the two-point correlation functions of the $Ξ_c$ and $Ξ_c'$ baryons from lattice QCD. Based on the lattice data, we adopt two independent methods to determine the mixing angle between $Ξ_c$ and $Ξ_c'$. After making the chiral and continuum extrapolation, it is found that the mixing angle $θ$ is $1.2^{\circ}\pm0.1^{\circ}$, which seems insufficient to account for the large SU(3) symmetry breaking effects found in weak decays of charmed baryons.

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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