Nucleon Resonances with Hidden Charm in $\gamma p$ reactions

Abstract

The excitations of nucleon resonances with hidden charm, $N_{c\bar{c}}^{\ast }$, in the $\gamma p$ reactions are investigated by using the predictions from the available meson-baryons (MB) coupled-channel models. For the $\gamma p\to J/\psi p$ process, we first calculate the Pomeron-exchange amplitudes with the parameters determined from fitting the available total cross section data up to invariant mass $W=300$ GeV. We then add the resonant amplitudes to examine the effects of $N_{c\bar{c}}^{\ast }$ excitations on the cross sections of $\gamma p\to J/\psi p$ in the near threshold energy region. The $N_{c\bar{c}}^{\ast }\to MB$ transition matrix elements are determined from the partial decay widths predicted by the meson-baryons coupled-channel models. The $\gamma p\to N_{c\bar{c}}^{\ast }$ transition amplitudes are calculated from the Vector Meson Dominance (VMD) model. The total $\gamma p\to J/\psi p$ amplitudes then depend on an off-shell form factor, parameterized as $F_V(q^2)={\Lambda }^4/({\Lambda }^4+(q^2-m_V^2{)}^2)$ with $\Lambda =550$ MeV. We then demonstrate that the $N_{c\bar{c}}^{\ast }$ can be most easily identified in the differential cross sections at large angles of outgoing $J/\psi$ where the contribution from Pomeron-exchange becomes negligible. With the same VMD model and the same coupled-channel models of $N_{c\bar{c}}^{\ast }$, we also calculate the resonant amplitudes for the $\gamma p\to Vp\to N_{c\bar{c}}^{\ast }\to {\bar{D}}^0{\Lambda }_c^{+}({\bar{D}}^{\ast 0}{\Lambda }_c^{+})$ processes. By adding the non-resonant amplitudes due to the exchange of ${\bar{D}}^{\ast 0}$ (${\bar{D}}^0)$, we then predict the cross sections of $\gamma p\to {\bar{D}}^0{\Lambda }_c^{+}({\bar{D}}^{\ast 0}{\Lambda }_c^{+})$ for additional experimental tests of the available meson-baryon coupled-channel models of $N_{c\bar{c}}^{\ast }$.

23 pages, 10 figures

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• Electron-Ion Collider in China
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Revisiting the nature of the $P_c$ pentaquarks
• Selected Science Opportunities for the EicC
• Deciphering the mechanism of near-threshold $J/\psi$ photoproduction
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Probing hidden-charm decay properties of $P_c$ states in a molecular scenario
• Vector-meson production and vector meson dominance
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• How to reveal the nature of three or more pentaquark states?
• Pole analysis on the hadron spectroscopy of ${\Lambda }_b\to J/\Psi p{K}^{-}$
• Photoproduction of hidden-bottom pentaquark and related topics
• Photoproduction of strange hidden-charm and hidden-bottom states
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Decay properties of $P_c$ states through the Fierz rearrangement
• Pentaquark components in low-lying baryon resonances
• Models of $J/\Psi$ photo-production reactions on the nucleon
• Recoupling Mechanism for exotic mesons and baryons
• Semi-inclusive lepto-production of hidden-charm exotic hadrons
• Photo- and electro-production of narrow exotic states: from light quarks to charm and up to bottom
• Identify the hidden charm pentaquark signal from non-resonant background in electron-proton scattering
• Production of hidden-charm and hidden-bottom pentaquark states in electron-proton collisions
• Semi-inclusive electroproduction of hidden-charm and double-charm hadronic molecules
• Molecular pentaquark states with open charm and bottom flavors
• Exclusive Charmonium Production at the Electron-ion collider in China
• First observation of the decay ${\Lambda }_b^0\to {\eta }_c(1S)p{K}^{-}$
• Research on the Phase space of three- and four-body final states process
• Observation of the electromagnetic Dalitz decay $D^{\ast 0}\to D^0{e}^{+}{e}^{-}$
• Decay behavior of hidden-strange hadronic molecular state $N(2270)$
• Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states
• Hadronic molecules and multiquark states
• $P_c(4312{)}^{+}$ and $P_c(4337{)}^{+}$ as interfering ${\Sigma }_c\bar{D}$ and ${\Lambda }_c{\bar{D}}^{\ast }$ threshold cusps