Exclusive Production of Quarkonia in $pp$ and $p\bar{p}$ Collisions Far from the Threshold

I discuss exclusive production of the ${\eta }^{\mathrm{\prime }}$, $J\mathrm{/}\psi$, and ${\chi }_c(0^{+})$ mesons in $pp$ and $p\bar{p}$ collisions at high energies. QCD diffractive mechanisms as well as nondiffractive mechanisms are discussed. Different unintegrated gluon distribution functions (UGDF) are used. Some differential distributions are shown and discussed.