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arXiv 1006.1127hep-phnucl-th
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SU(3)对称破缺的QCD中的η-核子耦合常数

Eta-nucleon coupling constant in QCD with SU(3) symmetry breaking

Janardan P. Singh, Frank X. Lee, Lai Wang

摘要:

本文从两核子内插场的真空-η关联函数出发,用QCD求和规则的方法研究了$η$神经网络的耦合常数。这种关联的矩阵元是相对于核子旋量取的,以避免不必要的极点贡献。通过$η$质量、s夸克质量和η衰变常数对SU(3)味对称性破缺效应进行了解释。在四个求和规则中,有三个规则的结果是相互一致的。这四个求和规则是由两个求和规则与核子质量的两个求和规则之比得到的。我们发现SU(3)破缺效应是显著的,可达SU(3)对称部分的50%。

英文摘要:

We study the $η$NN coupling constant using the method of QCD sum rules starting from the vacuum-to-eta correlation function of the interpolating fields of two nucleons. The matrix element of this correlation has been taken with respect to nucleon spinors to avoid unwanted pole contribution. The SU(3)-flavor symmetry breaking effects have been accounted for via the $η$-mass, s-quark mass and eta decay constant to leading order. Out of the four sum rules obtained by taking the ratios of the two sum rules in conjunction with the two sum rules in nucleon mass, three are found to give mutually consistent results. We find the SU(3) breaking effects significant, as large as 50% of the SU(3) symmetric part.

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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