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补遗:重新研究衍射光子-质子与质子-质子碰撞中π⁺π⁻对的产生,尤其涉及Drell-Söding贡献

Addendum: Production of $π^{+} π^{-}$ pairs in diffractive photon-proton and in proton-proton collisions revisited, in particular concerning the Drell-Söding contribution

Piotr Lebiedowicz, Otto Nachtmann, Antoni Szczurek

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中文总结 AI 辅助

该补遗更新了含Drell-Söding贡献的张量Pomeron模型分析,拟合了ZEUS等合作组的实验数据,解决了ρ共振区域M_ππ分布差异的谜题,结果对LHC及未来对撞机相关研究有意义。

中文摘要 AI 辅助

我们更新了关于反应γ^(*)p→π⁺π⁻p中非共振(Drell-Söding)贡献的分析,此次纳入了Pomeron、f₂ℝ与ρℝ对π介子耦合的通用顶点函数,该函数考虑了π介子的离壳性。我们将包含新Drell-Söding及ρ、ω矢量介子贡献的张量Pomeron模型,与ZEUS和H1合作组测得的γp→π⁺π⁻p反应数据进行对比,发现该理论与π⁺π⁻不变质量(M_ππ)及角分布的实验数据吻合度极高,本次分析限定于M_ππ≲1.2 GeV的区域;对于更高的M_ππ值,需考虑更高质量介子的产生。本文旨在证明,我们的张量Pomeron模型对光生过程中ρ共振贡献的所谓“偏斜”给出了极佳拟合。实际上,理解e⁺e⁻湮灭与光生过程中ρ(770)共振区域M_ππ分布形状的差异是一个由来已久的问题/谜题,我们认为所得结果从量子场论角度为该问题提供了非常令人满意的解决方案。我们的结果还与大型强子对撞机(LHC)中超 peripheric pp、Ap及AA碰撞中的中心排他性π⁺π⁻产生,以及未来电子-质子/离子对撞机(EIC与LeHC)中π⁺π⁻的光生与电生相关。

英文摘要

We update our analyses concerning the non-resonant (Drell-Söding) contribution to the reaction $γ^{(*)} p \to π^{+} π^{-} p$, now including general vertex functions for the coupling of pomeron, $f_{2 \mathbb{R}}$, and $ρ_{\mathbb{R}}$, to pions. This takes into account the off-shellness of the pions. We present a comparison of our tensor-pomeron model, including our new Drell-Söding and $ρ$, $ω$ vector-meson contributions, with data for the $γp \to π^{+} π^{-} p$ reaction measured by the ZEUS and H1 Collaborations. We find very good agreement of our theory with the experimental data for the $π^{+} π^{-}$ invariant mass ($M_{ππ}$) and for angular distributions. Here we restrict our analysis to the region $M_{ππ} \lesssim 1.2$ GeV. For higher values of $M_{ππ}$ we will have to consider production of higher-mass mesons. The purpose of the present article is to show that our tensor-pomeron model gives a very good fit to the so-called skewing of the $ρ$-resonance contribution in photoproduction. In fact, it is an old problem/puzzle to understood the difference of the shapes of the $M_{ππ}$ distributions in the region of the $ρ(770)$ resonance in $e^{+} e^{-}$ annihilation and photoproduction. We think that with our results we have obtained for this problem a solution which is very satisfactory from the Quantum-Field-Theory point of view. Our results are also relevant for central-exclusive $π^{+} π^{-}$ production in ultraperipheral $pp$, A$p$, and AA collisions at the LHC and for photo- and electroproduction of $π^{+} π^{-}$ at future electron-proton/ion colliders, EIC and LeHC.

发表机构

  • Institute of Nuclear Physics Polish Academy of Sciences(波兰科学院核物理研究所)
  • Institut für Theoretische Physik, Universität Heidelberg(海德堡大学理论物理研究所)
  • Institute of Physics, Faculty of Exact and Technical Sciences, University of Rzeszów(热舒夫大学精确与技术科学学院物理研究所)

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