Elastic and inelastic $J/\psi$ photoproduction in $p$-$p$ collisions at LHC energies: the feature of Weizsäcker-Williams approximation

Abstract

The $J/\psi$ production originating from elastic and inelastic photoproduction processes in p-p collisions at LHC energies is investigated, where the fragmentation processes are involved. An exact treatment is performed, which adopts the Martin-Ryskin method to weight the contribution from different channels, and can return to Weizsäcker-Williams approximation (WWA) when $Q^2\to 0$. The relevant kinematical relations are also achieved. We present a comprehensive analysis for the feature of WWA by comparing with the exact treatment. The results are expressed in $Q^2$, $y$, $z$, $p_T$, and $y_r$ (rapidity) distributions, and the total cross sections are also estimated. The numerical results indicate that, the incoherent-photon emission can provide the meaningful contribution to elastic photoproduction, and starts to play a very important role in the inelastic processes. The photoproduction and fragmentation processes can improve the contribution of $J/\psi$ production in $p$-$p$ collisions at LHC energies. Moreover, the WWA is only effective in very restricted domains, and the exact treatment is needed to deal accurately with the $J/\psi$ photoproduction, which can naturally avoid double counting and WWA errors.

19 pages, 8 figures

References in corpus (20)

• The Physics of Ultraperipheral Collisions at the LHC
• Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs
• Impact parameter dependent colour glass condensate dipole model
• Exclusive $J/\psi$ and $\psi (2S)$ production in $pp$ collisions at $\sqrt{s}=7$ TeV
• High transverse momentum quarkonium production and dissociation in heavy ion collisions
• Exclusive vector meson production at HERA from QCD with saturation
• Color dipole predictions for the exclusive vector meson photoproduction in $pp/pPb/PbPb$ collisions at Run 2 LHC energies
• The photon PDF of the proton
• Single and Double Photonuclear Excitations in Pb+Pb Collisions at sqrt(s_NN) = 2.76 TeV at the CERN Large Hadron Collider
• Ultra-peripheral collisions of heavy ions at RHIC and the LHC
• Charmonium production in ultra-peripheral heavy ion collisions with two-photon processes
• Probing the photon flux in the diffractive quarkonium photoproduction at LHC
• Exclusive and diffractive quarkonium -- pair production at the LHC and FCC
• Exclusive processes in $ep$ collisions at the EIC and LHeC: A closer look on the predictions of saturation models
• Inclusive diffractive heavy quarkonium photoproduction in pp, pA and AA collisions
• Ghost contributions to charmonium production in polarized high-energy collisions
• Near threshold heavy vector meson photoproduction at LHC and EicC
• Photoproductions of dileptons, photons, and light vector mesons in p-p, p-Pb, and Pb-Pb collisions at Large Hadron Collider energies
• Non-exclusive particle production by $\gamma \gamma$ interactions in $pp$ collisions at the LHC
• Inclusive diffractive heavy quarkonium photoproduction including quark subprocesses