Abstract
The amplitude for γp → J/ψp (γp → ψ′p) is calculated in a pQCD k T -factorization approach. The total cross section for this process is calculated for different unintegrated gluon distributions and compared with the HERA data and the data extracted recently by the LHCb collaboration. The amplitude for γp → J/ψp (γp → ψ′p) is used to predict the cross section for exclusive photoproduction of J/ψ (ψ′) mesons in proton-proton collisions. Compared to earlier calculations we include both Dirac and Pauli electromagnetic form factors. The effect of the Pauli form factor is quantified. We discuss the role of the J/ψ and ψ′ \( c\overline{c} \) wave functions for differential distributions and corresponding ratios for ψ′ and J/ψ. Absorption effects are taken into account and their role is discussed in detail. Different differential distributions e.g. in J/ψ (ψ′) rapidity and transverse momentum are presented and compared with existing experimental data. The unintegrated gluon distribution with nonlinear effects built in and Gaussian wave functions better describe recent experimental data of the LHCb collaboration but no definite conclusion on onset of saturation can be drawn. We present our results also for the Tevatron. A good agreement with the CDF experimental data points at the midrapidity for both J/ψ and ψ′ is achieved.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
CDF collaboration, T. Aaltonen et al., Observation of exclusive charmonium production and γ+γ to μ + μ − in \( p\overline{p} \) collisions at \( \sqrt{s}=1.96 \) TeV, Phys. Rev. Lett. 102 (2009) 242001 [arXiv:0902.1271] [INSPIRE].
LHCb collaboration, Exclusive J/ψ and ψ(2S) production in pp collisions at \( \sqrt{s}=7 \) TeV, J. Phys. G 40 (2013) 045001 [arXiv:1301.7084] [INSPIRE].
LHCb collaboration, Updated measurements of exclusive J/ψ and ψ(2S) production cross-sections in pp collisions at \( \sqrt{s}=7 \) TeV, J. Phys. G 41 (2014) 055002 [arXiv:1401.3288] [INSPIRE].
S.R. Klein and J. Nystrand, Photoproduction of quarkonium in proton proton and nucleus nucleus collisions, Phys. Rev. Lett. 92 (2004) 142003 [hep-ph/0311164] [INSPIRE].
W. Schäfer and A. Szczurek, Exclusive photoproduction of J/psi in proton-proton and proton-antiproton scattering, Phys. Rev. D 76 (2007) 094014 [arXiv:0705.2887] [INSPIRE].
L. Motyka and G. Watt, Exclusive photoproduction at the Tevatron and CERN LHC within the dipole picture, Phys. Rev. D 78 (2008) 014023 [arXiv:0805.2113] [INSPIRE].
A. Bzdak, L. Motyka, L. Szymanowski and J.-R. Cudell, Exclusive J/ψ and Υ hadroproduction and the QCD odderon, Phys. Rev. D 75 (2007) 094023 [hep-ph/0702134] [INSPIRE].
V.P. Goncalves and M.V.T. Machado, Vector meson production in coherent hadronic interactions: an update on predictions for RHIC and LHC, Phys. Rev. C 84 (2011) 011902 [arXiv:1106.3036] [INSPIRE].
M.B. Gay Ducati, M.T. Griep and M.V.T. Machado, Exclusive photoproduction of J/ψ and ψ(2S) states in proton-proton collisions at the CERN LHC, Phys. Rev. D 88 (2013) 017504 [arXiv:1305.4611] [INSPIRE].
S.P. Jones, A.D. Martin, M.G. Ryskin and T. Teubner, Probes of the small x gluon via exclusive J/ψ and Υ production at HERA and the LHC, JHEP 11 (2013) 085 [arXiv:1307.7099] [INSPIRE].
H1 collaboration, C. Alexa et al., Elastic and proton-dissociative photoproduction of J/ψ mesons at HERA, Eur. Phys. J. C 73 (2013) 2466 [arXiv:1304.5162] [INSPIRE].
A. Cisek, Exclusive processes with large rapidity gaps in the formalism of unintegrated gluon distributions, Ph.D. thesis, Henryk Niewodniczanski Institute of Nuclear Physics Polish Academy of Sciences, Kraków Poland (2012).
I.P. Ivanov, N.N. Nikolaev and A.A. Savin, Diffractive vector meson production at HERA: from soft to hard QCD, Phys. Part. Nucl. 37 (2006) 1 [hep-ph/0501034] [INSPIRE].
I.P. Ivanov, Diffractive production of vector mesons in deep inelastic scattering within k t factorization approach, Ph.D. thesis, Bonn University, Bonn Germany (2003) [hep-ph/0303053] [INSPIRE].
A. Rybarska, W. Schäfer and A. Szczurek, Exclusive photoproduction of Υ: from HERA to Tevatron, Phys. Lett. B 668 (2008) 126 [arXiv:0805.0717] [INSPIRE].
A. Cisek, W. Schäfer and A. Szczurek, Exclusive photoproduction of ϕ meson in γp → ϕp and pp → pϕp reactions, Phys. Lett. B 690 (2010) 168 [arXiv:1004.0070] [INSPIRE].
M.G. Ryskin, Diffractive J/ψ electroproduction in LLA QCD, Z. Phys. C 57 (1993) 89 [INSPIRE].
W. Jaus, Semileptonic decays of B and D mesons in the light front formalism, Phys. Rev. D 41 (1990) 3394 [INSPIRE].
W. Jaus, Relativistic constituent quark model of electroweak properties of light mesons, Phys. Rev. D 44 (1991) 2851 [INSPIRE].
I.P. Ivanov and N.N. Nikolaev, Diffractive S and D wave vector mesons in deep inelastic scattering, JETP Lett. 69 (1999) 294 [hep-ph/9901267] [INSPIRE].
J. Orear, Transverse momentum distribution of protons in p-p elastic scattering, Phys. Rev. Lett. 12 (1964) 112 [INSPIRE].
L.A. Harland-Lang, V.A. Khoze and M.G. Ryskin, Modelling exclusive meson pair production at hadron colliders, Eur. Phys. J. C 74 (2014) 2848 [arXiv:1312.4553] [INSPIRE].
ZEUS collaboration, S. Chekanov et al., Exclusive photoproduction of J/ψ mesons at HERA, Eur. Phys. J. C 24 (2002) 345 [hep-ex/0201043] [INSPIRE].
A.P. Trawinski, S.D. Glazek, S.J. Brodsky, G.F. de Téramond and H.G. Dosch, Effective confining potentials for QCD, Phys. Rev. D 90 (2014) 074017 [arXiv:1403.5651] [INSPIRE].
T. Gutsche, V.E. Lyubovitskij, I. Schmidt and A. Vega, Light-front potential for heavy quarkonia constrained by the holographic soft-wall model, Phys. Rev. D 90 (2014) 096007 [arXiv:1410.3738] [INSPIRE].
T. Peng and B.-Q. Ma, Heavy quarkonium 2S states in light-front quark model, Eur. Phys. J. A 48 (2012) 66 [arXiv:1204.0863] [INSPIRE].
S.D. Glazek and J. Mlynik, Boost-invariant Hamiltonian approach to heavy quarkonia, Phys. Rev. D 74 (2006) 105015 [hep-th/0606235] [INSPIRE].
N.N. Nikolaev, Quantum mechanics of color transparency, Comments Nucl. Part. Phys. 21 (1992) 41 [INSPIRE].
B.Z. Kopeliovich, J. Nemchick, N.N. Nikolaev and B.G. Zakharov, Novel color transparency effect: scanning the wave function of vector mesons, Phys. Lett. B 309 (1993) 179 [hep-ph/9305225] [INSPIRE].
J. Nemchik, N.N. Nikolaev, E. Predazzi and B.G. Zakharov, Color dipole phenomenology of diffractive electroproduction of light vector mesons at HERA, Z. Phys. C 75 (1997) 71 [hep-ph/9605231] [INSPIRE].
J. Hüfner, Y. Ivanov, B.Z. Kopeliovich and A.V. Tarasov, Photoproduction of charmonia and total charmonium proton cross-sections, Phys. Rev. D 62 (2000) 094022 [hep-ph/0007111] [INSPIRE].
L. Frankfurt, W. Koepf and M. Strikman, Diffractive heavy quarkonium photoproduction and electroproduction in QCD, Phys. Rev. D 57 (1998) 512 [hep-ph/9702216] [INSPIRE].
CDF collaboration, F. Abe et al., Measurement of small angle \( \overline{p}p \) elastic scattering at \( \sqrt{s}=546 \) GeV and 1800 GeV, Phys. Rev. D 50 (1994) 5518 [INSPIRE].
TOTEM collaboration, G. Antchev et al., Measurement of proton-proton elastic scattering and total cross-section at \( \sqrt{s}=7 \) TeV, Europhys. Lett. 101 (2013) 21002 [INSPIRE].
H1 collaboration, C. Adloff et al., Diffractive photoproduction of ψ(2S) mesons at HERA, Phys. Lett. B 541 (2002) 251 [hep-ex/0205107] [INSPIRE].
H1 collaboration, A. Aktas et al., Elastic J/ψ production at HERA, Eur. Phys. J. C 46 (2006) 585 [hep-ex/0510016] [INSPIRE].
I.P. Ivanov and N.N. Nikolaev, Anatomy of the differential gluon structure function of the proton from the experimental data on F 2p(x, Q 2), Phys. Rev. D 65 (2002) 054004 [hep-ph/0004206] [INSPIRE].
K. Kutak and A.M. Stasto, Unintegrated gluon distribution from modified BK equation, Eur. Phys. J. C 41 (2005) 343 [hep-ph/0408117] [INSPIRE].
A. Cisek, P. Lebiedowicz, W. Schafer and A. Szczurek, Exclusive production of ω meson in proton-proton collisions at high energies, Phys. Rev. D 83 (2011) 114004 [arXiv:1101.4874] [INSPIRE].
S.P. Jones, A.D. Martin, M.G. Ryskin and T. Teubner, Predictions of exclusive ψ(2S) production at the LHC, J. Phys. G 41 (2014) 055009 [arXiv:1312.6795] [INSPIRE].
G.G. da Silveira, L. Forthomme, K. Piotrzkowski, W. Schäfer and A. Szczurek, Central μ + μ − production via photon-photon fusion in proton-proton collisions with proton dissociation, JHEP 02 (2015) 159 [arXiv:1409.1541] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1405.2253
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Cisek, A., Schäfer, W. & Szczurek, A. Exclusive photoproduction of charmonia in γp → V p and pp → pV p reactions within k t -factorization approach. J. High Energ. Phys. 2015, 159 (2015). https://doi.org/10.1007/JHEP04(2015)159
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2015)159