Strong coupling constants of the doubly heavy $$ \Xi _{QQ} $$ Baryons with $$ \pi $$ Meson

Abstract

The doubly charmed $$\Xi _{cc}^{++} (ccu)$$Ξcc++(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 $$\Xi _{cc}^{+} (ccd)$$Ξcc+(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 $$\Xi _{cc}^{+(+)}$$Ξcc+(+) baryons and $$\pi ^{0(\pm )}$$π0(±) mesons by means of light cone QCD sum rule. Using the general forms of the interpolating currents of the $$\Xi _{cc}^{+(+)}$$Ξcc+(+) baryons and the distribution amplitudes (DAs) of the $$\pi $$π meson, we extract the values of the coupling constants $$g_{\Xi _{cc} \Xi _{cc} \pi }$$gΞccΞccπ. We extend our analyses to calculate the strong coupling constants among the partner baryons with $$\pi $$π mesons, as well, and extract the values of the strong couplings $$g_{\Xi _{bb} \Xi _{bb} \pi }$$gΞbbΞbbπ and $$g_{\Xi _{bc} \Xi _{bc} \pi }$$gΞbcΞbcπ. 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.

Determination of the strong vertices of doubly heavy baryons with pseudoscalar mesons in QCD

“…Our final remark to this section is as follows. As we have already noted, the Ξ cc Ξ cc π and Ξ bb Ξ bb π coupling constants within the same framework is calculated in [29] and our results differ from the one given in [29]. In our opinion, these differences are due to the following circumstances: (i) The main equation, Eq.…”

“…In our opinion, these differences are due to the following circumstances: (i) The main equation, Eq. (8) of [29] is incorrect. It is due to the following simple fact.…”

“…(26), which seems highly strange. (ii) The continuum subtraction procedure performed in [29] is inconsistent. This is due to the apparent fact that the variables z and s are related as…”

“…1−z ¼ s. However, in [29], z and s are introduced as two independent variables, which is incorrect. Using these facts one can conclude that the results of [29] are not reliable.…”

“…In the present work, we study the strong coupling constants of doubly heavy baryons with the light pseudoscalar mesons π and K within the light cone sum rules (LCSR) (For a discussion on the LCSR method, see for example [28]). Note that the strong coupling constants Ξ cc Ξ cc π and Ξ bb Ξ bb π within the same framework are studied in [29].…”