Decay behavior of the strange and beauty partners of $P_c$ hadronic molecules

Abstract

We extend our previous study on the decay behavior of $P_c$ hadronic molecules to their strange and beauty partners. While $P_c(4380)$ and $P_c(4450)$ locate just below the $\bar{D}{\Sigma }_c^{\ast }$ and ${\bar{D}}^{\ast }{\Sigma }_c$ thresholds, respectively, their proposed strange partners $N(1875)$ and $N(2080)$ sit just below the $K{\Sigma }^{\ast }$ and $K^{\ast }\Sigma$ thresholds, respectively. Using the effective Lagrangian approach as the same as for the study of $P_c$ hadronic molecular states and with the couplings determined by the $\mathrm{SU}(3)$ flavor symmetry, the decay patterns of $N(1875)$ and $N(2080)$ are obtained assuming them to be the $S$-wave $K{\Sigma }^{\ast }$ and $K^{\ast }\Sigma$ molecules, respectively. It is found that the measured decay properties of $N(1875)$ and $N(2080)$ are reproduced well. Our results suggest that both $N(1875)$ and $N(2080)$ can be ascribed as the hadronic molecular pentaquark states in the hidden strangeness sector with quantum number $I(J^P)=1/2({3/2}^{-})$. Further checks on their hadronic molecule nature by various experiments are proposed. With the same approach, we also give our predictions for the decay behavior of the possible beauty partners of the $P_c$ hadronic molecular states. The $B^{\ast }{\Lambda }_b$ is found to be the largest decay mode for both $B{\Sigma }_b^{\ast }$ and $B^{\ast }{\Sigma }_b$ hadronic molecules, hence can be used to look for the hidden beauty pentaquark states in forthcoming experiments.

arXiv comment11 pages, 5 figures

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• Pentaquark and Tetraquark states
• Electron-Ion Collider in China
• Selected Science Opportunities for the EicC
• $P_{cs}(4459)$ and other possible molecular states from ${\Xi }_c^{(\ast )}{\bar{D}}^{(\ast )}$ and ${\Xi }_c^{\prime }{\bar{D}}^{(\ast )}$ interactions
• Molecular states from ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}-{\Lambda }_c{\bar{D}}^{(\ast )}$ interaction
• Nucleon Resonances with Hidden Charm in $\gamma p$ reactions
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Hidden-charm pentaquarks with triple strangeness due to the ${\Omega }_c^{(\ast )}{\bar{D}}_s^{(\ast )}$ interactions
• Photoproduction of hidden-bottom pentaquark and related topics
• Newly observed $X(4630)$: a new charmoniumlike molecule
• Prediction of an exotic state around 4240 MeV with $J^{PC}=1^{-+}$ as C-parity partner of Y(4260) in molecular picture
• Properties of $P_c(4312)$ pentaquark and its bottom partner
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• Hidden-bottom molecular states from ${\Sigma }_b^{(\ast )}{B}^{(\ast )}-{\Lambda }_b{B}^{(\ast )}$ interaction
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• $\rho \rho$ scattering revisited with coupled-channels of pseudoscalar mesons
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• The ${\Omega }_{cc}$ resonances with negative parity in the chiral constituent quark model
• Prospects for detecting the hidden-strange pentaquarklike state $N^{\ast }(2080)$ in the ${\pi }^{-}p\to \varphi n$ reaction
• Production potential of hidden-strange molecular pentaquarks through the ${\pi }^{-}p\to K^{\ast }\Sigma$ process
• Decay behavior of hidden-strange hadronic molecular state $N(2270)$
• Baryons and baryoniums in the perspective of QCD sum rules
• Strange pentaquark molecules in QCD sum rules