$P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra

Abstract

Recently, the LHCb Collaboration has reported two strange hidden-charm pentaquark states named $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ in the $J/\psi \Lambda$ invariant mass spectra of decays ${\Xi }_b^{-}$$\to$$J/\psi \Lambda K^{-}$ and $B^{-}$$\to$$J/\psi \Lambda \bar{p}$,respectively. In this work, we perform a coupled-channel study of the interactions ${\Xi }_c^{\ast }{\bar{D}}^{\ast }$, ${\Xi }_c^{\prime }{\bar{D}}^{\ast }$, ${\Xi }_c^{\ast }\bar{D}$, ${\Xi }_c{\bar{D}}^{\ast }$, ${\Xi }_c^{\prime }\bar{D}$, ${\Lambda }_c{\bar{D}}_s^{\ast }$, ${\Xi }_c\bar{D}$, ${\Lambda }_c{\bar{D}}_s$, and $\Lambda J/\psi$ in the quasipotential Bethe-Salpeter equation approach to estimate the $J/\psi \Lambda$ invariant mass spectra. With the help of effective Lagrangians, the potential kernel can be constructed by meson exchanges to obtain the scattering amplitudes, from which the poles of the bound states and the invariant mass spectra can be reached. The coupled-channel calculation results in that the width of state ${\Xi }_c{\bar{D}}^{\ast }(1/2^{-})$ is about $18$~MeV and that of state ${\Xi }_c{\bar{D}}^{\ast }(3/2^{-})$ is only about $1.6$~MeV. By comparison with experimental data, it indicates that the structure $P_{\psi s}^{\Lambda }(4459)$ is mainly from the contribution from the ${\Xi }_c{\bar{D}}^{\ast }(1/2^{-})$ state while the role of state ${\Xi }_c{\bar{D}}^{\ast }(3/2^{-})$ cannot be excluded. The line shape of the structure $P_{\psi s}^{\Lambda }(4338)$ can be reproduced roughly by a narrow molecular state from the ${\Xi }_c\bar{D}$ interaction with $J^P$=$1/2^{-}$, which is extremely close to the threshold, with a large interference effect. Besides, an additional state ${\Xi }_c^{\prime }\bar{D}(1/2^{-})$ is suggested to be observed as a dip structure in the $J/\psi \Lambda$ invariant mass spectrum.

8 pages, 5 figures

References in corpus (16)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
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• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the $P_{\psi s}^{\Lambda }(4338)$ and $P_{cs}(4459)$
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Strange hidden-charm $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ pentaquarks and additional $P_{\psi s}^{\Lambda }$, $P_{\psi s}^{\Sigma }$ and $P_{\psi ss}^N$ candidates in a quark model approach
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• New structure around 3250 MeV in the baryonic B decay and the $D_0^{\ast }(2400)N$ molecular hadron
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Cited by in corpus (14)

• Exploring the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_s^{\ast }$ and ${\Omega }_c^{(\ast )}{\bar{D}}_s^{\ast }$ molecular states
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Hidden-charm pentaquark states in a mass splitting model
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• Production mechanism of hidden-charm pentaquark states $P_{c\bar{c}s}$ with strangeness $S=-1$
• A Simple Model of Pentaquarks
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Hidden charm ${\mathcal{P}}_{cs}(4338{)}^0$ production in baryonic $B^{-}\to J/\psi \Lambda \bar{p}$ decay
• Five-flavor molecular pentaquarks in the ${\Xi }_b^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{(\prime ,\ast )}{B}^{(\ast )}$ systems
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton