$P_{\psi s}^{\Lambda }(4459)$ 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.

arXiv comment8 pages, 5 figures

References in corpus (51)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Phenomenology of Heavy Meson Chiral Lagrangians
• 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
• New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules
• Identifying exotic hidden-charm pentaquarks
• Towards exotic hidden-charm pentaquarks in QCD
• Evidence of a $J/\psi \Lambda$ structure and observation of excited ${\Xi }^{-}$ states in the ${\Xi }_b^{-}\to J/\psi \Lambda K^{-}$ decay
• Low lying axial-vector mesons as dynamically generated resonances
• Strong Decays of Excited Heavy Mesons In Chiral Perturbation Theory
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ interactions and the LHCb hidden-charmed pentaquarks
• Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons
• Charming penguins in B => K* pi, K (rho,omega,phi) decays
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Chiral Lagrangians for Radiative Decays of Heavy Hadrons
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• ${\Lambda }_{c}N$ bound states revisited
• Establishing the first hidden-charm pentaquark with strangeness
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory
• Looking for a hidden-charm pentaquark state with strangeness $S=-1$ from ${\Xi }_b^{-}$ decay into $J/\psi K^{-}\Lambda$
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Possible strange hidden-charm pentaquarks from ${\Sigma }_c^{(\ast )}{\bar{D}}_s^{\ast }$ and ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{D}}^{\ast }$ interactions
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• $Z_c(3900)$ as a resonance from the $D{\bar{D}}^{\ast }$ interaction
• The ${\Lambda }_b\to J/\psi K^0\Lambda$ reaction and a hidden-charm pentaquark state with strangeness
• Non-strange and strange pentaquarks with hidden charm
• Analysis of the ${\frac{1}{2}}^{\pm }$ pentaquark states in the diquark-diquark-antiquark model with QCD sum rules
• Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• A hidden-charm $S=-1$ pentaquark from the decay of ${\Lambda }_b$ into $J/\psi \eta \Lambda$
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
• $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ reaction
• 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 $P_{cs}(4459)$
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• 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
• Analysis of the hidden-charm pentaquark molecular states with strangeness and without strangeness via the QCD sum rules
• Exploratory study of possible resonances in the heavy meson - heavy baryon coupled-channel interactions
• Analysis of the $P_{cs}(4338)$ and related pentaquark molecular states via the QCD sum rules
• The LHCb state $P_{\psi s}^{\Lambda }(4338)$ as a triangle singularity

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