Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction

Abstract

In this work, we systemically investigate the molecular states from the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction with the help of the Lagrangians with heavy quark and chiral symmetries in a quasipotential Bethe-Salpeter equation (qBSE) approach. The molecular states are produced from isodoublet (I=1/2) ${\Sigma }_c\bar{D}$ interaction with spin parity $J^P=1/2^{-}$ and ${\Sigma }_c{\bar{D}}^{\ast }$ interaction with $1/2^{-}$ and $3/2^{-}$. Their masses and widths are consistent with the $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ observed at LHCb. The states, ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }(1/2^{-})$, ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }(3/2^{-})$ and ${\Sigma }_c^{\ast }\bar{D}(3/2^{-})$, are also produced with the same parameters. The isodoublet ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }$ interaction with $5/2^{-}$, as well as the isoquartet (I=3/2) ${\Sigma }_c{\bar{D}}^{\ast }$ interactions with $1/2^{-}$ and $3/2^{-}$, ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }$ interaction with $3/2^{-}$ and $5/2^{-}$, are also attractive while very large cutoff is required to produce a molecular state. We also investigate the origin of the widths of these molecular states in the same qBSE frame. The $\Lambda {\bar{D}}^{\ast }$ channel is dominant in the decays of the states, ${\Sigma }_c{\bar{D}}^{\ast }(1/2^{-})$, ${\Sigma }_c{\bar{D}}^{\ast }(3/2^{-})$, ${\Sigma }_c^{\ast }\bar{D}(3/2^{-})$, and ${\Sigma }_c\bar{D}(1/2^{-})$. The ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }(1/2^{-})$ state has large coupling to ${\Sigma }_c\bar{D}$ channel while the ${\Sigma }_c{\bar{D}}^{\ast }$, ${\Sigma }_c^{\ast }\bar{D}$ and ${\Lambda }_c{\bar{D}}^{\ast }$ channels provide similar contributions to the width of the ${\Sigma }_c^{\ast }{\bar{D}}^{\ast }(3/2^{-})$ state. These results will be helpful to understand the current LHCb experimental results, and the three predicted states and the decay pattern of these hidden-charmed molecular pentaquarks can be checked in future experiments.

10 pages, 3 figures, version published in EPJC

References in corpus (9)

• Prediction of narrow $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden charm above 4 GeV
• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures
• Study of the $B{\bar{B}}^{\ast }/D{\bar{D}}^{\ast }$ bound states in a Bethe-Salpeter approach
• The internal structures of the nucleon resonances $N(1875)$ and $N(2120)$
• New structure around 3250 MeV in the baryonic B decay and the $D_0^{\ast }(2400)N$ molecular hadron
• Model independent determination of the spins of the $P_c$(4440) and $P_c$(4457) from the spectroscopy of the triply charmed dibaryons

Cited by in corpus (41)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Coupled-channel effects of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$-${\Lambda }_c(2595)\bar{D}$ system and molecular nature of the $P_c$ pentaquark states from one-boson exchange model
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Heavy-strange meson molecules and possible candidates $D_{s0}^{\ast }(2317)$, $D_{s1}(2460)$, and $X_0(2900)$
• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Molecular picture for $X_0(2900)$ and $X_1(2900)$
• Interpretations of the new LHCb $P_c(4337{)}^{+}$ pentaquark state
• Spectrum of the molecular pentaquarks
• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• $P_{\psi s}^{\Lambda }(4459)$ and $P_{\psi s}^{\Lambda }(4338)$ as molecular states in $J/\psi \Lambda$ invariant mass spectra
• Production of $P_c$ states in ${\Lambda }_b$ decays
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Heavy flavor pentaquarks with four heavy quarks
• Y(4626) as a molecular state from interaction $D_s^{\ast }{\bar{D}}_{s1}(2536)-D_s{\bar{D}}_{s1}(2536)$
• 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
• Triply charmed dibaryons in the one boson exchange model
• Systematic study on production of hidden-bottom pentaquark via $\gamma p$ and ${\pi }^{-}p$ scatterings
• Hidden-bottom molecular states from ${\Sigma }_b^{(\ast )}{B}^{(\ast )}-{\Lambda }_b{B}^{(\ast )}$ interaction
• Search for hidden-charm pentaquark states in three-body final states
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Possible ${\Lambda }_c{\bar{\Lambda }}_c$ molecular states and their productions in nulceon-antinulceon collision
• Production of $P-$wave charmed and charmed-strange mesons in pion and kaon induced reactions
• Systematical study of ${\Omega }_c$-like molecular states from interactions ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{K}}^{(\ast )}$ and ${\Xi }^{(\ast )}{D}^{(\ast )}$
• Investigation of a candidate spin-$\frac{1}{2}$ hidden-charm triple strange pentaquark state $P_{csss}$
• Possible molecular states from the $N\Delta$ interaction
• Molecular pentaquark states with open charm and bottom flavors
• Possible molecular states from interactions of charmed baryons
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Possible molecular dibaryons with $csssqq$ quarks and their baryon-antibaryon partners
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• First observation of ${\Lambda }_b^0\to {\Sigma }_c^{(\ast )++}{D}^{(\ast )-}{K}^{-}$ decays
• Analysis of the strong vertices ${\Lambda }_c{D}^{(\ast )}{N}^{\ast }(1535)$ and ${\Lambda }_b{B}^{(\ast )}{N}^{\ast }(1535)$ in QCD sum rules
• Decay behavior of hidden-strange hadronic molecular state $N(2270)$
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Production of dibaryon $d_{N\Omega }$ in kaon induced reactions
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton