The resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$ in the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$

Abstract

We study the decay of ${\Lambda }_b\to J/\psi \Lambda \varphi$ by taking into account the intermediate resonances $X(4140)$, $X(4160)$, and $P_{cs}(4459)$. In addition to the peak of the $X(4140)$, we also find a bump structure around 4160 MeV followed by a cusp structure around $D_s^{\ast }{\bar{D}}_s^{\ast }$ threshold in the $J/\psi \varphi$ invariant mass distribution of the ${\Lambda }_b\to J/\psi \Lambda \varphi$ process, which can be associated to the $D_s^{\ast }{\bar{D}}_s^{\ast }$ molecular state $X(4160)$. We also show that this reaction can also be used to confirm the existence of the hidden-charm pentaquark $P_{cs}(4459)$ with strangeness. We predict an enhancement structure close to the threshold in the $D_s^{\ast }{\bar{D}}_s^{\ast }$ invariant mass distribution of the ${\Lambda }_b\to D_s^{\ast }{\bar{D}}_s^{\ast }\Lambda$ process, which is the reflection of the $X(4160)$ and should not be misidentified with a new resonance. We strongly suggest experimentalists to further measure these processes, which can be useful to clarify the nature of $X(4140)$ and $X(4160)$ resonances, and to confirm the existence of the $P_{cs}(4459)$.

arXiv comment8 pages, 10 figures

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• An updated review of the new hadron states
• Molecular nature of $P_{cs}(4459)$ and its heavy quark spin partners
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Investigation of hidden-charm pentaquarks with strangeness $S=-1$
• Pole determination of $P_{\psi s}^{\Lambda }(4338)$ and possible $P_{\psi s}^{\Lambda }(4255)$ in $B^{-}\to J/\psi \Lambda \bar{p}$
• Investigation of hidden-charm double strange pentaquark candidate $P_{css}$ via its mass and strong decays
• Search for a $D\bar{D}$ bound state in the ${\Lambda }_b\to \Lambda D\bar{D}$ process
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$
• The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions