Abstract
We discuss exclusive elastic double diffractive axial-vector χc(1+) meson production in proton–antiproton collisions at the Tevatron. The amplitude for the process is derived within the kt-factorization approach with unintegrated gluon distribution functions (UGDFs). We show that the famous Landau–Yang theorem is not applicable in the case of off-shell gluons. Differential cross sections for different UGDFs are calculated. We compare exclusive production of χc(1+) and χc(0+). The contribution of χc(1+) to the J/Ψ+γ channel is smaller than that of the χc(0+) decay, but not negligible and can be measured. The numerical value of the ratio of the both contributions is much less dependent on the UGDFs modeling than the cross sections themselves.
Highlights
The central exclusive production of mesons has been recently revived
The biggest cross section is obtained with BFKL unintegrated gluon distribution functions (UGDFs) and the smallest one with Gaussian UGDFs
The big spread of the results is due to quite different distributions of UGDFs in gluon transverse momenta q1t, q2t, when integrated over transverse momenta distributions in longitudinal momentum fractions x1, x2 are fairly similar
Summary
The central exclusive production of mesons has been recently revived. This is essentially because of two reasons.Firstly, the theoretical QCD inspired approach has been developed. The central exclusive production of mesons has been recently revived. This is essentially because of two reasons. The theoretical QCD inspired approach has been developed. This is because of interest in the double diffractive production of the Higgs boson firstly proposed by A. G. Ryskin [1, 2, 3] (KKMR) as an alternative to inclusive production for Higgs searches. Very similar methods can be used for scalar [7], pseudoscalar [8], axial-vector and tensor mesons. The situation for vector meson production is somewhat different. A kt-factorization approach has been used to calculate exclusive Υ production [11] at Tevatron
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