Central production of lepton-lepton pairs ($e^+e^-$ and $\mu^+\mu^-$) and heavy quark composite states (charmonia and bottomonia) in diffractive proton collisions (proton momenta transferred ${ |\bf q_\perp}|\sim m/\ln s$) are studied at ultrahigh energies ($\ln{ s}>>1$), where $\sigma_{ tot}(pp^\pm)\sim\ln^N s$ with $1\la N\la 2$. The $pp^\pm$-rescattering corrections, which are not small, are calculated in terms of the $K$-matrix approach modified for ultrahigh energies. Two versions of hadron interactions are 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 the resonant disk mode. The energy behavior of the diffractive production processes differs strongly for these modes, thus giving a possibility to distinguish between the versions of the ultrahigh energy interactions.
Categories: hep-ph