Exclusive diffractive J/psi and Psi(2S) production in dipole model using a holographic AdS/QCD light front wavefunction with longitudinal confinement

Abstract: We use an anti-de Sitter/Quantum Chromodynamics (AdS/QCD) based holographic light-front wavefunction (LFWF) for vector meson, in conjunction with the dipole model to investigate the cross-sections data for the diffractive and exclusive J/psi and Psi(2S) production. We confront the experimental data using a new explicit form of the holographic LFWF, where the longitudinal confinement dynamics in light-front Schrodinger equation is captured by 't Hooft equation of (1+1)-dim, in large Nc approximation, in addition to the transverse confinement dynamics governed by the confining mass scale parameter, kappa in vector mesons. We obtain the LFWF parameters from fitting to the exclusive J/psi electro production data from electron-proton collision at HERA collider for m_c = 1.27 GeV. Our results suggest that the dipole model together with holographic meson LFWFs with longitudinal confinement is able to give a successful description for differential scattering cross-section for exclusive J/psi electro production for H1 and ZEUS data. We also predict the rapidity distributions of differential scattering cross-section and total photo production of J/psi and Psi(2S) states in proton-proton ultra-peripheral collisions(UPCs) at center of mass energy sqrt s = 7, 13 TeV. Using the minimum set of parameters, our predictions for the UPCs are in good agreement with the recent experimental observations of UPCs at ALICE and LHCb Collaborations.