Possibility to study pentaquark states $P_c(4312),P_c(4440)$, and $P_c(4457)$ in $\gamma p\to J/\psi p$ reaction

Abstract

Inspired by the observation of the pentaquark states $P_c(4312),P_c(4440)$ and $P_c(4457)$ at LHCb, photoproduction of these three $P_c$ states via the interaction $\gamma p\to J/\psi p$ is investigated in an effective Lagrangian approach. The $t$-channel Pomeron exchange diffractive process is considered as the main background for the $J/\psi$ photoproduction. The numerical results show that the theoretical cross section, which is calculated by assuming a branching ratio $Br[P_c\to J/\psi p]\simeq 3\%$, is consistent with the existing experimental data of the $\gamma p\to J/\psi p$ process. With such a branching ratio, if experimental precision reaches 0.1 nb within a bin of 100 MeV for photon energy, two peaks are expected to be obviously observed in the $J/\psi$ photoproduction. To observe the two-peak structure from $P_c(4440)$ and $P_c(4457)$, higher precision, about 0.1nb/10 MeV, is required to distinguish two close pentaquarks. If the physical branching ratio is larger, the requirement of experimental precision will be reduced. The differential cross sections for reaction $\gamma p\to J/\psi p$ are also present. It is found that the $t$-channel Pomeron exchange provides a sharp increase at extreme forward angles and gives a sizable contribution at most energy points, while the contributions from the $s$-channel $P_c$ exchanges play important roles at threshold energies. The experimental measurement of the $\gamma p\to J/\psi p$ process in the near-threshold energy region around $E_{\gamma }\simeq 9.4-10.5$ GeV is suggested, and is accessible at CEBAF@JLab and COMPASS.

arXiv comment7 pages, 7 figures, version to be published in PRD

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• Tetra- and penta-quark structures in the constituent quark model
• Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry
• $P_c(4457{)}^{+}$, $P_c(4440{)}^{+}$, and $P_c(4312{)}^{+}$: molecules or compact pentaquarks?
• Selected Science Opportunities for the EicC
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• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Production of $P_c$ states from ${\Lambda }_b$ decay
• Structure and decays of hidden heavy pentaquarks
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Nucleon Resonances with Hidden Charm in $\gamma p$ reactions
• Analysis of the strong decays of the $P_c(4312)$ as a pentaquark molecular state with QCD sum rules
• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• Doubly Charmed Pentaquarks
• How to reveal the nature of three or more pentaquark states?
• Hidden charm pentaquarks with color-octet substructure in QCD Sum Rules
• Double Polarization Observables in Pentaquark Photoproduction
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Pion-induced production of hidden-charm pentaquarks $P_c(4312),P_c(4440)$, and $P_c(4457)$
• Selected strong decays of pentaquark State $P_c(4312)$ in a chiral constituent quark model
• Photoproduction of strange hidden-charm and hidden-bottom states
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
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• Photoproduction of pentaquarks states at the LHC
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• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Production of hidden-charm and hidden-bottom pentaquark states in electron-proton collisions
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• Probing hidden-bottom pentaquarks in fixed-target collisions at the LHC
• Interaction and Identification of the Meson-Baryon molecules
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• 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
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Production of the bottomonium-like states $Z_b$ states at $e$-$h$ and ultraperipheral $h$-$h$ collisions
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton