Polarisation effects in the central exclusive $\chi_c$ production and
  the $J/\psi$ angular distributions

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Abstract

We discuss exclusive elastic double diffractive axial-vector $\chi_c(1^+)$ and tensor $\chi_c(2^+)$ mesons production for different meson polarisations in proton-(anti)proton collisions at the Tevatron energy. The amplitude for the process is derived within the $k_t$ -factorisation approach using unintegrated gluon distributions (UGDFs). Differential cross sections for different $\chi_c$ polarisations are calculated. Angular distributions of $J/\psi$ meson from the radiative $\chi_c(1^+,2^+)$ decays are derived. Prospects for experimental selection of different spin states of $\chi_c$ mesons are discussed.

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Most cited references 3

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Systematic approach to inclusive lepton pair production in hadronic collisions

C. Lam, Wu-Ki Tung (1978)

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Nonperturbative and spin effects in the central exclusive production of tensor $\chi_c(2^+)$ meson

A. Szczurek, O. V. Teryaev, R. Pasechnik (2009)

We discuss central exclusive production (CEP) of the tensor

$\chi_c(2^{+})$ meson in proton-(anti)proton collisions at Tevatron, RHIC and LHC energies. The amplitude for the process is derived within the

$k_t$ -factorisation approach. Differential and total cross sections are calculated for several unintegrated gluon distributions (UGDFs). We compare exclusive production of all charmonium states

$\chi_c(0^+),\,\chi_c(1^+)$ and

$\chi_c(2^+)$ . Equally good description of the recent Tevatron data is achieved both with Martin-Ryskin phenomenological UGDF and UGDF based on unified BFKL-DGLAP approach. Unlike for Higgs production, the main contribution to the diffractive amplitude of heavy quarkonia comes from nonperturbative region of gluon transverse momenta

$Q_{\perp}<1\,\GeV$ . At

$y \approx$ 0, depending on UGDF we predict the contribution of

$\chi_c(1^+,2^+)$ to the

$J/\Psi + \gamma$ channel to be comparable or larger than that of the

$\chi_c(0^+)$ one. This is partially due to a significant contribution from lower polarization states

$\lambda=0$ for

$\chi_c(1^+)$ and

$\lambda=0,\,\pm 1$ for

$\chi_c(2^+)$ meson. Corresponding theoretical uncertainties are discussed.

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Central exclusive production of scalar \chi_c meson at the Tevatron, RHIC and LHC energies

O. V. Teryaev, A. Szczurek, R. Pasechnik (2007)

We calculate several differential distributions for exclusive double diffractive

$\chi_c(0^{++})$ production in proton-antiproton collisions at the Tevatron and in proton-proton collisions at RHIC and LHC in terms of unintegrated gluon distributions (UGDFs) within the

$k_t$ -factorisation approach. The uncertainties of the Khoze-Martin-Ryskin approach are discussed in detail. The

$g^* g^* \to \chi_c(0^{++})$ transition vertex is calculated as a function of gluon virtualities applying the standard pNRQCD technique. The off-shell effects are discussed and quantified. They lead to a reduction of the cross section by a factor 2--5, depending on the position in the phase space and UGDFs. Different models of UGDFs are used and the results are shown and discussed. The cross section for diffractive component depends strongly on UGDFs. We calculate also the differential distributions for the

$\gamma^* \gamma^* \to \chi_c(0^{++})$ fusion mechanism. The integrated cross section for photon-photon fusion is much smaller than that of diffractive origin. The two components have very different dependence on momentum transfers

$t_1, t_2$ in the nucleon lines as well as azimuthal-angle correlations between both outgoing nucleons.

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Publication date Created: 25 August 2010

Publication date Updated: 2010-10-14

Article

DOI: 10.1103/PhysRevD.83.074017

ArXiV ID: 1008.4325

SO-VID: a0be0a53-4f00-4bfd-9b98-1ebfab965f1b

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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Journal reference Phys.Rev.D83:074017,2011

Comments 20 pages, 8 figures, discrepancies with Durham group results clarified, numerics corrected, overall presentation and conclusions significantly improved

Categories hep-ph

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Polarisation effects in the central exclusive $\chi_c$ production and the $J/\psi$ angular distributions

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SDG: 12: Responsible Consumption and Production

Most cited references 3

Systematic approach to inclusive lepton pair production in hadronic collisions

Nonperturbative and spin effects in the central exclusive production of tensor $\chi_c(2^+)$ meson

Central exclusive production of scalar \chi_c meson at the Tevatron, RHIC and LHC energies

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Polarisation effects in the central exclusive χc\chi_c production and the J/ψJ/\psi angular distributions

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SDG: 12: Responsible Consumption and Production

Systematic approach to inclusive lepton pair production in hadronic collisions

Nonperturbative and spin effects in the central exclusive production of tensor χc(2+)\chi_c(2^+) meson

Central exclusive production of scalar \chi_c meson at the Tevatron, RHIC and LHC energies

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Polarisation effects in the central exclusive $\chi_c$ production and the $J/\psi$ angular distributions

Nonperturbative and spin effects in the central exclusive production of tensor $\chi_c(2^+)$ meson