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

TL;DR

This paper investigates whether the $Y(4274)$ can be interpreted as a $D_sar{D}_{s0}(2317)$ molecular state, using effective Lagrangian calculations, and concludes it likely cannot, but suggests a possible $P$-wave molecular state $Y^{'}(4274)$ with specific decay signatures.

Contribution

The study provides a detailed decay analysis of the $Y(4274)$, proposing a new $P$-wave molecular state hypothesis and identifying key decay channels for experimental verification.

Findings

$Y(4274)$ cannot be a $D_sar{D}_{s0}(2317)$ molecular state.

A potential $P$-wave $D_sar{D}_{s0}$ molecular state $Y^{'}(4274)$ could have a total decay width of 1.06-1.84 MeV.

The $Dar{D}^{*}$ decay mode may have the largest branching ratio among allowed channels.

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 $Y^{'}(4274)$.