Abstract
Calculations of the central exclusive diffractive production (CEDP) of two pions via continuum and resonance mechanisms are presented in the Regge-eikonal approach. Data from STAR, ISR, CDF and CMS are analysed and compared with theoretical descriptions. The preliminary extraction of f_0(500), f_0(980) and f_2(1270) couplings to pomerons and the rho meson contribution from the photoproduction mechanism to the CEDP cross-section are considered. We show possible nuances and problems of calculations and prospects of investigations at current and future hadron colliders.
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