arXiv 2003.127232020-03hep-phhep-exhep-lat

双重重$ Ξ_{QQ} $重子与$ π$介子的强耦合常数

Strong Coupling Constants of the Doubly Heavy $ Ξ_{QQ} $ Baryons with $ π$ Meson

A. R. Olamaei, K. Azizi, S. Rostami

备注：: 18 Pages, 4 Figures and 2 Tables
DOI：: 10.1140/epjc/s10052-020-8194-1

摘要：

双粲$Ξ_{cc}^{++} (ccu)$态是在实验中发现的PDG中唯一列出的重子。LHCb合作离发现第二个双粲重子$Ξ_{cc}^{+} (ccd)$越来越近，因此从多个方面研究双粲/底重子具有重要意义，不仅有助于我们对新发现的态的性质获得有价值的认识，而且有助于我们寻找夸克模型预言的其他重重子。本文利用光锥QCD求和规则研究了$Ξ_{cc}^{+(+)}$重子与$π^{0(\pm)}$介子之间的强耦合常数。利用$Ξ_{cc}^{+(+)}$重子的内插流和$π$介子的分布振幅的一般形式，我们提取了耦合常数$g_{Ξ_{cc} Ξ_{cc} π}$的值。我们将分析扩展到计算b-伙伴重子与$π$介子的强耦合常数，并提取了强耦合$g_{Ξ_{bb} Ξ_{bb} π}$的值.据观察，在底部通道的研究中的耦合的值是约4倍大于那些迷人的渠道。这一结果有助于实验组对强子多重态间强耦合常数数据的分析。

英文摘要：

The doubly charmed $Ξ_{cc}^{++} (ccu)$ state is the only listed baryon in PDG, which was discovered in the experiment. The LHCb collaboration gets closer to discovering the second doubly charmed baryon $Ξ_{cc}^{+} (ccd)$, hence the investigation of the doubly charmed/bottom baryons from many aspects is of great importance that may help us not only get valuable knowledge on the nature of the newly discovered states, but also in the search for other members of the doubly heavy baryons predicted by the quark model. In this context, we investigate the strong coupling constants among the $Ξ_{cc}^{+(+)}$ baryons and $π^{0(\pm)}$ mesons by means of light cone QCD sum rule. Using the general forms of the interpolating currents of the $Ξ_{cc}^{+(+)}$ baryons and the distribution amplitudes (DAs) of the $π$ meson, we extract the values of the coupling constants $g_{Ξ_{cc} Ξ_{cc} π}$. We extend our analyses to calculate the strong coupling constants among the b-partner baryons with $π$ mesons, as well, and extract the values of the strong couplings $g_{Ξ_{bb} Ξ_{bb} π}$. It is observed that the values of the couplings under study in bottom channels are about 4 times greater than those of the charmed channels. The results of this study may help experimental groups in the analyses of the data related to the strong coupling constants among the hadronic multiplets.

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