Speaker
Description
We study the exclusive production of $J/\psi$ in the photon-proton scattering using a hot spot model. The hot spot model is formulated in the framework of the MV model and in the dilute limit, which enable us to derive the analytical expressions for both coherent and incoherent cross sections. We determine analytically the contributions to the coherent and incoherent cross section from different sources of fluctuations, and compare the model calculation to the available HERA data. In particular, fluctuations in the saturation scale and in the number of hot spots which were neglected in the previous analytical works will be examined. In addition, the calculations are performed with the non-relativistic $J/\psi$ wave function both with and without relativistic correction, which allow us to study analytically the effects of this correction on different observables.