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Polarized $\chi_{c2}$-charmonium production in antiproton-nucleus interactions
Nuclear Theory · Submitted 7 Dec 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the $\chi_{c0} N \to \chi_{c2} N$ transitions significantly influence the $\chi_{c2}$-production with helicity zero at small transverse momenta.
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The abstract, sentence by sentence
Starting from the Feynman diagram representation of multiple scattering we consider the polarized $\chi_c$(1P)-charmonia production in antiproton-nucleus reactions close to the threshold ($p_{\rm lab}=5-7$ 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 $\chi_{cJ} N \to \chi_{cJ^\prime} N$, $J,J^\prime=0,1,2$. The elementary amplitudes of the latter processes are evaluated by expanding the physical $\chi_c$-states in the Clebsch-Gordan series of the $c \bar c$ states with fixed values of internal orbital angular momentum ($L_z$) and spin projections on the $\chi_c$ momentum axis. The total interaction cross sections of these $c \bar c$ 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 $L_z$-dependent due to the transverse size difference. This directly leads to finite values of the $\chi_c$-nucleon nondiagonal scattering amplitudes. We show that the $\chi_{c0} N \to \chi_{c2} N$ transitions significantly influence the $\chi_{c2}$-production with helicity zero at small transverse momenta. This can serve as a signal in future experimental tests of the quark structure of $\chi_c$-states by the PANDA collaboration at FAIR.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Starting from the Feynman diagram representation of multiple scattering we consider the polarized $\chi_c$(1P)-charmonia production in antiproton-nucleus reactions close to the threshold ($p_{\rm lab}=5-7$ GeV/c). | contribution 0.89 | 0.74 | 0.04 | asserted 0.56 |
| s1 | 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 $\chi_{cJ} N \to \chi_{cJ^\prime} N$, $J,J^\prime=0,1,2$. | method 0.93 | 0.73 | 0.04 | asserted 0.95 |
| s2 | The elementary amplitudes of the latter processes are evaluated by expanding the physical $\chi_c$-states in the Clebsch-Gordan series of the $c \bar c$ states with fixed values of internal orbital angular momentum ($L_z$) and spin projections on the $\chi_c$ momentum axis. | method 0.99 | 0.75 | 0.03 | asserted 0.98 |
| s3 | The total interaction cross sections of these $c \bar c$ 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 $L_z$-dependent due to the transverse size difference. | background 0.97 | 0.04 | 0.04 | asserted 1.00 |
| s4 | This directly leads to finite values of the $\chi_c$-nucleon nondiagonal scattering amplitudes. | result 0.70 | 0.42 | 0.08 | asserted 1.00 |
| s5 | We show that the $\chi_{c0} N \to \chi_{c2} N$ transitions significantly influence the $\chi_{c2}$-production with helicity zero at small transverse momenta. | result 0.99 | 0.90 | 0.72 | asserted 1.00 |
| s6 | This can serve as a signal in future experimental tests of the quark structure of $\chi_c$-states by the PANDA collaboration at FAIR. | future work 0.52 | 0.20 | 0.13 | hedged possibility 0.96 |
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The paper
Original abstract
Starting from the Feynman diagram representation of multiple scattering we consider the polarized $\chi_c$(1P)-charmonia production in antiproton-nucleus reactions close to the threshold ($p_{\rm lab}=5-7$ 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 $\chi_{cJ} N \to \chi_{cJ^\prime} N$, $J,J^\prime=0,1,2$. The elementary amplitudes of the latter processes are evaluated by expanding the physical $\chi_c$-states in the Clebsch-Gordan series of the $c \bar c$ states with fixed values of internal orbital angular momentum ($L_z$) and spin projections on the $\chi_c$ momentum axis. The total interaction cross sections of these $c \bar c$ 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 $L_z$-dependent due to the transverse size difference. This directly leads to finite values of the $\chi_c$-nucleon nondiagonal scattering amplitudes. We show that the $\chi_{c0} N \to \chi_{c2} N$ transitions significantly influence the $\chi_{c2}$-production with helicity zero at small transverse momenta. This can serve as a signal in future experimental tests of the quark structure of $\chi_c$-states by the PANDA collaboration at FAIR.
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How the literature uses it
3 arXiv papers cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Uses its method or tool 2 papers
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We employ in our calculations the generalized eikonal approximation to the multiple-scattering theory [ref] .
Rescattering effects in antiproton-induced exclusive $J/\psi$ and $\psi^\prime$ production on the deuteron · The model · 1.00
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The amplitude of Fig. [ref] can be calculated within the generalized eikonal approximation [ref] .
Color transparency in $\pi^-$-induced dilepton production on nuclei · Model · 0.99
What it cites · 6 sentences without a confident label
Uses the method or tool of 2 papers
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Following [ref] we decompose the internal $cc̅$ wave function of the physical $χ_Jν$-charmonium state in the basis of wave functions with fixed orbital ($L_z$) and spin ($S_z$) magnetic quantum numbers as [equation] where $z$-axis is directed along the charmonium momentum in the target nucleus rest frame (Fermi motion is neglected here). $⟨1L_z;1S_z|Jν⟩$ are the Clebsch-Gordan coefficients.
J/\Psi production, $\chi$ polarization and Color Fluctuations · Transition amplitudes $χ_J_1 N →χ_J N$ · 0.95
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We have used the multiple scattering Feynman diagram formalism in the GEA-approach of Refs. [ref] .
Feynman Graphs and Generalized Eikonal Approach to High Energy Knock-Out Processes · Summary · 1.00
Uses data or values from 3 papers
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The following values have been obtained in [ref] : $σ_0=6.8$ mb and $σ_±1= 15.9$ mb.
J/\Psi production, $\chi$ polarization and Color Fluctuations · Transition amplitudes $χ_J_1 N →χ_J N$ · 0.80
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In the present work we will use a simple expression for $n(𝐗,𝐩)$, which is based on the local Fermi distribution but takes into account the corrections due to the short range NN correlations (SRC): [equation] Here $ρ_p(𝐗)$ is the proton density; $p_F(𝐗)=(3π^2ρ_p)^1/3$ is the proton Fermi momentum; and $P_2 ≃0.25$ is the proton fraction above Fermi surface [ref] .
Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars · Occupation numbers · 0.82
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The density distributions of protons and neutrons have been taken in the two-parameter Fermi parameterization as described in [ref] .
Charmonium production in antiproton-nucleus reactions at low energies · Occupation numbers · 0.87
Compares with 1 paper
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Qualitatively similar results were obtained later in Ref. [ref] , however, with somewhat different absolute values of the charmonium-nucleon cross sections.
Photoproduction of Charmonia and Total Charmonium-Proton Cross Sections · Introduction · 0.96
Cites as background 2 papers
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This was first predicted in Ref. [ref] , where the cross sections of the charmonium- and bottomonium-nucleon interaction have been calculated on the basis of the QCD factorization theorem and the nonrelativistic quarkonium model.
J/\Psi production, $\chi$ polarization and Color Fluctuations · Introduction · 0.88
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The PANDA experimental program [ref] already includes the studies of the $p̅ p →χ_c →J/ψγ→e^+ e^- γ$ reaction.
0903.3905 · Numerical results · 0.84
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