Understanding spin parity of $P_c(4450)$ and $Y(4274)$ in a hadronic molecular state picture

Abstract

The hidden-charmed pentaquark $P_c(4450)$ and the charmonium-like state $Y(4274)$ are investigated as a ${\bar{D}}^{\ast }{\Sigma }_c$ and a $D_s{\bar{D}}_{s0}(2317)$ molecular state, respectively. The spin parities of these two states cannot be well understood if only S-wave ${\bar{D}}^{\ast }{\Sigma }_c$ and $D_s{\bar{D}}_{s0}(2317)$ interactions are considered. In this work, the interactions are studied in a quasipotential Bethe-Salpeter equation approach with a partial wave decomposition on spin parity $J^P$, and the contributions of different partial waves are studied in a two-channel scattering model including a generating channel and an observation channel. Two poles at $4447\pm 4i$ and $4392\pm 46i$ MeV are produced from the ${\bar{D}}^{\ast }{\Sigma }_c$ interaction coupled with the $J/\psi p$ channel in $3/2^{-}$ wave and $5/2^{+}$ wave, respectively. The peak for the $5/2^{+}$ state has a comparable height as that of the $3/2^{-}$ state in the $J/\psi p$ invariant mass spectrum. The $D_s{\bar{D}}_{s0}(2317)$ interaction coupled with the $J/\psi \varphi$ channel is studied and a pole at $4275\pm 11i$ MeV is produced in $J^P=1^{+}$ wave, which corresponds to P-wave $D_s{\bar{D}}_{s0}(2317)$ interaction. The pole from S-wave $D_s{\bar{D}}_{s0}(2317)$ interaction is far below that from P-wave interaction even the $J/\psi \varphi$ threshold, so cannot be observed in the $J/\psi \varphi$ channel. The result suggests that in these cases a state carrying a spin parity corresponding to P-wave interaction should be taken as seriously as these carrying a spin parity corresponding to S-wave interaction in the hadronic molecular state picture.

7 pages, 5 figures. published version

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• Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks
• Description of the ${\Xi }_c$ and ${\Xi }_b$ states as molecular states
• Probing new types of $P_c$ states inspired by the interaction between an $S$-wave charmed baryon and an anticharmed meson in a $\bar{T}$ doublet state
• Nucleon Resonances with Hidden Charm in $\gamma p$ reactions
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• Nucleon-$J/\psi$ and nucleon-${\eta }_c$ scattering in $P_c$ pentaquark channels from LQCD
• Decay behaviors of possible ${\Lambda }_{c\bar{c}}$ states in hadronic molecule pictures
• Hidden Charm Pentaquark $P_c(4380)$ and Doubly Charmed Baryon ${\Xi }_{cc}^{\ast }(4380)$ as Hadronic Molecule States
• $Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction
• Exploratory study of possible resonances in the heavy meson - heavy baryon coupled-channel interactions
• Mass behavior of hidden-charm pentaquarks with open-strange inspired by these established $P_c$ molecular states
• Strong Decay of $P_c(4380)$ Pentaquark in a Molecular Picture
• Electromagnetic multipole moments of the $P_c^{+}(4380)$ pentaquark in light-cone QCD
• Pion-induced production of hidden-charm pentaquarks $P_c(4312),P_c(4440)$, and $P_c(4457)$
• Heavy quark spin multiplet structure of $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Hidden Bottom Pentaquark States with Spin 3/2 and 5/2
• Possible Molecular Pentaquark States with Different Spin and Quark Configurations
• 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
• Resonances in heavy meson - heavy baryon coupled-channel interactions
• Production of charmed baryon ${\Lambda }_c(2940)$ by kaon-induced reaction on a proton target
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction
• Heavy quark spin multiplet structure of $P_c$-like pentaquark as P-wave hadronic molecular state
• Hidden-bottom molecular states from ${\Sigma }_b^{(\ast )}{B}^{(\ast )}-{\Lambda }_b{B}^{(\ast )}$ interaction
• Exotic pentaquark states with the $qqQQ\bar{Q}$ configuration
• Hidden-strange molecular states and the $N\varphi$ bound state via a QCD van der Waals force
• Heavy quark spin multiplet structure of ${\bar{P}}^{(\ast )}{\Sigma }_Q^{(\ast )}$ molecular states
• Production of $P-$wave charmed and charmed-strange mesons in pion and kaon induced reactions
• $X$ structures in $B^{+}\to J/\psi \varphi K^{+}$ as one-loop and double-triangle threshold cusps
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Possible $P$- wave $D_s{\bar{D}}_{s0}(2317)$ molecular state $Y^{{}^{\prime }}(4274)$
• Interactions of the ${\chi }_{c1}(4274)$ state with light mesons
• $\Xi$(2030) and $\Xi$(2120) as ${\bar{K}}^{\ast }\Sigma$ molecular states