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Central production of lepton-lepton pairs ($e^+e^-$ and $\mu^+\mu^-$) andheavy quark composite states (charmonia and bottomonia) in diffractive protoncollisions (proton momenta transferred ${|\bf q_\perp}|\sim m/\ln s$) arestudied at ultrahigh energies ($\ln{s}>>1$), where$\sigma_{tot}(pp^\pm)\sim\ln^N s$ with $1\la N\la 2$. The $pp^\pm$-rescatteringcorrections, which are not small, are calculated in terms of the $K$-matrixapproach modified for ultrahigh energies. Two versions of hadron interactionsare considered in detail: the growth (i) $\sigma_{tot}(pp^\pm)\sim\ln^2 s$,$\sigma_{inel}(pp^\pm)\sim\ln^2 s$ within the black disk mode and (ii)$\sigma_{tot}(pp^\pm)\sim\ln^2 s$, $\sigma_{inel}(pp^\pm)\sim\ln s$ within theresonant disk mode. The energy behavior of the diffractive production processesdiffers strongly for these modes, thus giving a possibility to distinguishbetween the versions of the ultrahigh energy interactions.

Central production of lepton-antilepton pairs and heavy quark composite states in hadron diffractive collisions at ultrahigh energies