arXiv 1303.49672013-03-20nucl-thnucl-ex

在核子和氘靶上产生$J/Ψ$

Production of $J/Ψ$ on the nucleon and deuteron targets

Jia-Jun Wu, T. -S. H. Lee

备注：: 21 pages, 12 figures
DOI：: 10.1103/PhysRevC.88.015205

摘要：

建立了一个包含$πN$、$ρN$和$J/ΨN$通道的耦合通道模型，并对$π+ N \rightarrow J/Ψ+ N $截面进行了计算。$J/Ψ$ - $N$相互作用的参数化形式与有效场论方法和格点QCD的预测有关。模型中的其他相互作用受到$J/Ψ\rightarrow ρ+ π$的衰变宽度和$πN$反应的总横截面数据的约束。计算的介子-重子振幅然后被用来预测的$J/Ψ$生产的氘靶的截面，包括从脉冲项和最终的$NN$和$J/ΨN$再散射效应的单圈计算的贡献。预测的$π^- + p \rightarrow J/Ψ+ n$，$γ+ d \rightarrow J/Ψ+ n + p$，和$π^+ d \rightarrow J/Ψ+p +p$的截面上的$J/Ψ$ - $N$的潜力的依赖性的$J/Ψ$-$N$相互作用的实验测定。在矢量介子优势模型中，我们还应用所建立的耦合通道模型预测了$J/Ψ$产生阈值附近的$γ+ p\rightarrow J/Ψ+ p$截面。

英文摘要：

A coupled-channel model with $πN$, $ρN$ and $J/ΨN$ channels is developed to predict the $π+ N \rightarrow J/Ψ+ N $ cross sections. The $J/Ψ$-$N$ interaction is parameterized in a form related to what has been predicted by the effective field theory approach and Lattice QCD. The other interactions within the model are constrained by the decay width of $J/Ψ\rightarrow ρ+ π$ and the total cross section data of $πN$ reactions. The calculated meson-baryon amplitudes are then used to predict the cross sections of the $J/Ψ$ production on the deuteron target by including the contributions from the impulse term and the one-loop calculations of the final $NN$ and $J/ΨN$ re-scattering effects. Predictions of the dependence of the cross sections of $π^- + p \rightarrow J/Ψ+ n$, $γ+ d \rightarrow J/Ψ+ n + p$, and $π^+ d \rightarrow J/Ψ+p +p$ on the $J/Ψ$-$N$ potentials are presented for experimental determinations of the $J/Ψ$-$N$ interaction. Within the vector meson dominance model, we have also applied the constructed coupled-channel model to predict the $γ+ p\rightarrow J/Ψ+ p$ cross sections near the $J/Ψ$ production threshold.

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