Possible $P$- wave $D_s\bar{D}_{s0}(2317)$ molecular state $Y^{'}(4274)$

Abstract

Stimulated by the measurement of the $J\psi\phi$ decay model of $Y(4274)$ by the LHCb Collaboration, we consider a possible interpretation of this state as a hadron molecular-a bound state of $D_s$ and $\bar{D}_{s0}(2317)$ mesons. Using effective Lagrangian approach, we calculate the two-body strong decay channels $Y(4274)\to{}J/\psi\phi,\chi_{c0}\eta,\chi_{c0}\eta,D^{*}_s\bar{D}_s$, $D\bar{D}^{*}$, $K\bar{K}^{*}$, and $\phi\phi$ through hadronic loops and three-body decays into $\pi^0{}D_s\bar{D}_s$. In comparison with the LHCb data, our results show that $Y(4274)$ cannot be assigned to be a $D_s\bar{D}_{s0}(2317)$ molecular state. The calculated partial decay widths with $J^P=1^{+}$ $D_s\bar{D}_{s0}$ molecular state picture indicates that allowed decay modes, $\chi_{c0}\eta$ and $\chi_{c1}\eta$, may have the smallest branching ratio and are of the order of 0.0 MeV. Future experimental measurements of such two processes can be quite useful to test the different interpretations of the $Y(4274)$. If $P-$wave $D_s\bar{D}_{s0}$ molecular exist [we marked as $Y^{'}(4274)$], the total decay is at the order of 1.06-1.84 MeV, which seems to be within the reach of the current experiments such as Belle II. In addition, the calculated partial decay widths indicate that allowed decay mode, $D\bar{D}^{*}$, may have the biggest branching ratio. The experimental measurements for this strong decay process could be a crucial to observe such a new state $Y^{'}(4274)$.