Strong Coupling Constants of the Doubly Heavy ${\Xi }_{QQ}$ Baryons with $\pi$ Meson

Abstract

The doubly charmed ${\Xi }_{cc}^{++}(ccu)$ 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 ${\Xi }_{cc}^{+}(ccd)$, 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 ${\Xi }_{cc}^{+(+)}$ baryons and ${\pi }^{0(\pm )}$ mesons by means of light cone QCD sum rule. Using the general forms of the interpolating currents of the ${\Xi }_{cc}^{+(+)}$ baryons and the distribution amplitudes (DAs) of the $\pi$ meson, we extract the values of the coupling constants $g_{{\Xi }_{cc}{\Xi }_{cc}\pi }$. We extend our analyses to calculate the strong coupling constants among the b-partner baryons with $\pi$ mesons, as well, and extract the values of the strong couplings $g_{{\Xi }_{bb}{\Xi }_{bb}\pi }$. 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.

arXiv comment18 Pages, 4 Figures and 2 Tables

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