Abstract
The amplitude for $\gamma p \to J/\psi p$ ($\gamma p \to \psi' p$) 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 $\gamma p \to J/\psi p$ ($\gamma p \to \psi' p$) is used to predict the cross section for exclusive photoproduction of $J/\psi$ ($\psi'$) meson in proton-proton collisions. Compared to earlier calculations we include both Dirac and Pauli electromagnetic form factors. The effect of Pauli form factor is quantified. Absorption effects are taken into account and their role is discussed in detail. Different differential distributions e.g. in $J/\psi$ ($\psi'$) rapidity and transverse momentum are presented and compared with existing experimental data. The UGDF with nonlinear effects built in 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 $J/\psi$ and $\psi'$ is achieved.
Highlights
Different differential distributions e.g. in J/ψ (ψ′) rapidity and transverse momentum are presented and compared with existing experimental data
The formalism applied in ref. [10] uses a slightly simplified collinear formalism where the quark-antiquark wave function is replaced by a normalization constant [17]
First the total cross section for the γp → J/ψp reaction was calculated as a function of the subsystem energy and confronted with the HERA data for three different unintegrated distributions from the literature
Summary
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. While we use the momentum space formulation of diffractive vector meson production, the equivalent color-dipole formulation is more intuitive to understand the argument: it is the overlap of the light-cone wave functions of photon and vector meson which controls the effective dipole size distributions that enter the dipole cross section [28, 29].
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