Exclusive $J\mathrm{/}\psi$ production in proton-proton collisions adopting GPD approach

Exclusive $J\mathrm{/}\psi$ production is investigated in proton-proton collisions employing GPD approach with GK model. Three sets gluon density are used to calculate exclusive $J\mathrm{/}\psi$ production. The survival factors and equivalent photon approximation are applied to predict the exclusive $J\mathrm{/}\psi$ photoproduction in proton-proton collisions. The GPD method prediction gives a good agreement with the experimental data at LHCb. The exclusive $J\mathrm{/}\psi$ production is given in proton-proton collisions at RHIC and NICA. These predictions of GPD approach can be employed to estimate the exclusive $J\mathrm{/}\psi$ cross sections in future proton-proton collisions.