Central exclusive production of scalar and pseudoscalar charmonia in the light-front $k_T$-factorization approach

Abstract

We study exclusive production of scalar ${\chi }_{c0}\equiv {\chi }_c(0^{++})$ and pseudoscalar ${\eta }_c$ charmonia states in proton-proton collisions at the LHC energies. The amplitudes for $gg\to {\chi }_{c0}$ as well as for $gg\to {\eta }_c$ mechanisms are derived in the $k_T$-factorization approach. The $pp\to pp{\eta }_c$ reaction is discussed for the first time. We have calculated rapidity, transverse momentum distributions as well as such correlation observables as the distribution in relative azimuthal angle and $(t_1,t_2)$ distributions. The latter two observables are very different for ${\chi }_{c0}$ and ${\eta }_c$ cases. In contrast to the inclusive production of these mesons considered very recently in the literature, in the exclusive case the cross section for ${\eta }_c$ is much lower than that for ${\chi }_{c0}$ which is due to a special interplay of the corresponding vertices and off-diagonal UGDFs used to calculate the cross sections. We present the numerical results for the key observables in the framework of potential models for the light-front quarkonia wave functions. We also discuss how different are the absorptive corrections for both considered cases.

arXiv comment21 pages, 11 figures, to appear in Phys. Rev. D, Sudakov form factor corrected, additional model for unintegrated glue included

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