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.

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

References in corpus (15)

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• Selected Science Opportunities for the EicC
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• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Structure and decays of hidden heavy pentaquarks
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• Production of $P_{cs}(4459)$ from ${\Xi }_b$ decay
• How to reveal the nature of three or more pentaquark states?
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• $QQ\bar{s}\bar{s}$ tetraquarks in the chiral quark model
• Photoproduction of strange hidden-charm and hidden-bottom states
• Semi-inclusive lepto-production of hidden-charm exotic hadrons
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Semi-inclusive electroproduction of hidden-charm and double-charm hadronic molecules
• Probing hidden-bottom pentaquarks in fixed-target collisions at the LHC
• 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
• Production of the bottomonium-like states $Z_b$ states at $e$-$h$ and ultraperipheral $h$-$h$ collisions
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Kaon-induced production of strange hidden-charm molecular pentaquarks $P_{\psi s}^{\Lambda }$ from proton