Polarized χ c 2 -charmonium production in antiproton-nucleus interactions

A. B. Larionov, Mark Strikman, M. Bleicher

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Starting from the Feynman diagram representation of multiple scattering we consider the polarized χc(1P)-charmonia production in antiproton-nucleus reactions close to the threshold (plab=5-7 GeV/c). The rescattering and absorption of the incoming antiproton and outgoing charmonium on nucleons are taken into account, including the possibility of the elastic and nondiagonal (flavor-conserving) scattering χcJN→χcJ′N, J,J′=0,1,2. The elementary amplitudes of the latter processes are evaluated by expanding the physical χc states in the Clebsch-Gordan series of the cc̄ states with fixed values of internal orbital angular momentum (Lz) and spin projections on the χc momentum axis. The total interaction cross sections of these cc̄ states with nucleons have been calculated in previous works using the QCD factorization theorem and the nonrelativistic quarkonium model, and turned out to be strongly Lz dependent due to the transverse size difference. This directly leads to finite values of the χc-nucleon nondiagonal scattering amplitudes. We show that the χc0N→χc2N transitions significantly influence the χc2 production with helicity zero at small transverse momenta. This can serve as a signal in future experimental tests of the quark structure of χc states by the PANDA Collaboration at the Facility for Antiproton and Ion Research (FAIR).

Original languageEnglish (US)
Article number014621
JournalPhysical Review C - Nuclear Physics
Volume89
Issue number1
DOIs
StatePublished - Jan 30 2014

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antiprotons
nucleons
nuclei
Feynman diagrams
interactions
scattering
factorization
transverse momentum
scattering amplitude
angular momentum
theorems
quantum chromodynamics
projection
quarks
momentum
orbitals
thresholds
cross sections
ions

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Polarized χ c 2 -charmonium production in antiproton-nucleus interactions",
abstract = "Starting from the Feynman diagram representation of multiple scattering we consider the polarized χc(1P)-charmonia production in antiproton-nucleus reactions close to the threshold (plab=5-7 GeV/c). The rescattering and absorption of the incoming antiproton and outgoing charmonium on nucleons are taken into account, including the possibility of the elastic and nondiagonal (flavor-conserving) scattering χcJN→χcJ′N, J,J′=0,1,2. The elementary amplitudes of the latter processes are evaluated by expanding the physical χc states in the Clebsch-Gordan series of the cc̄ states with fixed values of internal orbital angular momentum (Lz) and spin projections on the χc momentum axis. The total interaction cross sections of these cc̄ states with nucleons have been calculated in previous works using the QCD factorization theorem and the nonrelativistic quarkonium model, and turned out to be strongly Lz dependent due to the transverse size difference. This directly leads to finite values of the χc-nucleon nondiagonal scattering amplitudes. We show that the χc0N→χc2N transitions significantly influence the χc2 production with helicity zero at small transverse momenta. This can serve as a signal in future experimental tests of the quark structure of χc states by the PANDA Collaboration at the Facility for Antiproton and Ion Research (FAIR).",
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Polarized χ c 2 -charmonium production in antiproton-nucleus interactions. / Larionov, A. B.; Strikman, Mark; Bleicher, M.

In: Physical Review C - Nuclear Physics, Vol. 89, No. 1, 014621, 30.01.2014.

Research output: Contribution to journalArticle

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AB - Starting from the Feynman diagram representation of multiple scattering we consider the polarized χc(1P)-charmonia production in antiproton-nucleus reactions close to the threshold (plab=5-7 GeV/c). The rescattering and absorption of the incoming antiproton and outgoing charmonium on nucleons are taken into account, including the possibility of the elastic and nondiagonal (flavor-conserving) scattering χcJN→χcJ′N, J,J′=0,1,2. The elementary amplitudes of the latter processes are evaluated by expanding the physical χc states in the Clebsch-Gordan series of the cc̄ states with fixed values of internal orbital angular momentum (Lz) and spin projections on the χc momentum axis. The total interaction cross sections of these cc̄ states with nucleons have been calculated in previous works using the QCD factorization theorem and the nonrelativistic quarkonium model, and turned out to be strongly Lz dependent due to the transverse size difference. This directly leads to finite values of the χc-nucleon nondiagonal scattering amplitudes. We show that the χc0N→χc2N transitions significantly influence the χc2 production with helicity zero at small transverse momenta. This can serve as a signal in future experimental tests of the quark structure of χc states by the PANDA Collaboration at the Facility for Antiproton and Ion Research (FAIR).

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