Exclusive photoproduction of charmonia in γ p → V p and pp → pV p reactions within k t -factorization approach

The amplitude for γ p → J/ψp (γ p → ψ ′ p ) is calculated in a pQCD k T -factorization approach. The total cross section for this process is calculated for different unintegrated gluon distributions and compared with the HERA data and the data extracted recently by the LHCb collaboration. The amplitude for γ p → J/ψp (γ p → ψ ′ p ) is used to predict the cross section for exclusive photoproduction of J/ψ ( ψ ′ ) mesons in proton-proton collisions. Compared to earlier calculations we include both Dirac and Pauli electromagnetic form factors. The effect of the Pauli form factor is quantified. We discuss the role of the J/ψ and ψ ′ c c ¯ $$ c\overline{c} $$ wave functions for differential distributions and corresponding ratios for ψ ′ and J/ψ . Absorption effects are taken into account and their role is discussed in detail. Different differential distributions e.g. in J/ψ ( ψ ′ ) rapidity and transverse momentum are presented and compared with existing experimental data. The unintegrated gluon distribution with nonlinear effects built in and Gaussian wave functions better describe recent experimental data of the LHCb collaboration but no definite conclusion on onset of saturation can be drawn. We present our results also for the Tevatron. A good agreement with the CDF experimental data points at the midrapidity for both J/ψ and ψ ′ is achieved