Study of the exclusive reaction $pp\to pp{K}^{\ast 0}{\bar{K}}^{\ast 0}$: $f_2(1950)$ resonance versus diffractive continuum

Abstract

We present first predictions of the cross sections and differential distributions for the exclusive reaction $pp\to pp{K}^{\ast 0}{\bar{K}}^{\ast 0}$ contributing to the $K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ channel. The amplitudes for the reaction are formulated within the nonperturbative tensor-pomeron approach. We consider separately the $f_2(1950)$ $s$-channel exchange mechanism and the $K^{\ast 0}$ $t/u$-channel exchange mechanism, focusing on their specificities. First mechanism is a candidate for the central diffractive production of tensor glueball and the second one is an irreducible continuum. We adjust parameters of our model, assuming the dominance of pomeron-pomeron fusion, to the WA102 experimental data. We find that including the continuum contribution alone one can describe the WA102 data reasonably well. We present predictions for the reaction $pp\to pp(K^{\ast 0}{\bar{K}}^{\ast 0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-})$ for the ALICE, ATLAS, CMS and LHCb experiments including typical kinematical cuts. We find from our model a cross sections of $\sigma \cong 17-250$ nb for the LHC experiments, depending on the assumed cuts. Absorption effects are included in our analysis.

arXiv comment21 pages, 7 figures

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