Production of $P_{\psi s}^{\Lambda }(4338)$ from ${\Xi }_b$ decay

Abstract

In the present work, we investigate the production of the newly observed $P_{\psi s}^{\Lambda }(4338)$ state in ${\Xi }_b^{-}$ decay, where the $P_{\psi s}^{\Lambda }(4338)$ is assigned as a ${\Xi }_c\bar{D}$ molecular state. By using an effective Lagrangian approach, we evaluate the branching fractions of ${\Xi }_b^{-}\to P_{\psi s}^{\Lambda }(4338)K^{-}$ via the triangle loop mechanism. The branching fractions of ${\Xi }_b^{-}\to P_{\psi s}^{\Lambda }(4338)K^{-}$ are in the order of $10^{-4}$; the result is compared with our previous work of ${\Xi }_b^{-}\to P_{\psi s}^{\Lambda }(4459)K^{-}$. We also predict the ratio of $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ productions in the decay ${\Xi }_b^{-}\to P_{\psi s}^{\Lambda }{K}^{-}\to J/\psi \Lambda K^{-}$. The predicted branching fractions and their ratios could be tested experimentally, which may be helpful for understanding the molecular picture of $P_{\psi s}^{\Lambda }(4338)$ as well as other hidden-charm pentaquark states with strangeness. Moreover, the experimental potential of observing $P_{\psi s}^{\Lambda }(4338)$ in the ${\Xi }_b^{-}\to K^{-}J/\psi \Lambda$ is discussed.

Comments: 7 pages, 5 figures