Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels

Abstract

Investigation of the resonances $X(4140)$ and $X(4274)$, which were recently confirmed by the LHCb Collaboration [1], is carried out by treating them as the color triplet and sextet $[cs][\bar{c}\bar{s}]$ diquark-antidiquark states with the spin-parity $J^P=1^{+}$, respectively. We calculate the masses and meson-current couplings of these tetraquarks in the context of QCD two-point sum rule method by taking into account the quark, gluon and mixed vacuum condensates up to eight dimensions. We also study the vertices $X(4140)J/\psi \varphi$ and $X(4274)J/\psi \varphi$, and evaluate corresponding strong couplings $g_{X(4140)J/\psi \varphi }$ and $g_{X(4274)J/\psi \varphi }$ by means of QCD light-cone sum rule method, and a technique of the soft-meson approximation. In turn, these couplings contain a required information to determine the width of the $X(4140)\to J/\psi \varphi$ and $X(4274)\to J/\psi \varphi$ decay channels. We compare our results for the masses and decay widths of the $X(4140)$ and $X(4274)$ resonances with the LHCb data, and alternative theoretical predictions.

Comments: 11 Pages, 5 Figures and 4 Tables