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arXiv 1406.7010hep-phhep-th
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Sakai-Sugimoto模型中通过双Pomeron交换的Eta和Eta素数的中心产生

Central Production of Eta and Eta-prime via Double Pomeron Exchange in the Sakai-Sugimoto Model

Neil Anderson, Sophia K. Domokos, Jeffrey A. Harvey, Nelia Mann

摘要:

我们构造了一个弦模型,研究了质子-质子碰撞中通过双坡密子交换中心产生$η$和$η'$介子的过程。利用一般的对称性考虑,我们构造了一个低能微分截面的双胶球交换的一些待定的耦合常数和形状因子。我们将此模型推广到Regge区域,用Pomeron轨迹代替胶球传播子,并通过在平坦空间中由5弦散射振幅导出的因子修改相互作用项。然后,我们固定的耦合仍然是未定的,使用Sakai-Sugimoto框架模型的低能QCD。最后,我们在$\sqrt{s} = 29.1 GeV$生成一个散射过程的模拟,其中双坡密子交换应该发挥作用(二级双Reggeon交换)。我们集中在散射截面的散射质子在横向平面之间的角度的依赖关系。结果表现出一个明确的偏离角的依赖性所产生的自然宇称违反单独的后果。偏差的大小主要取决于AdS/QCD超引力对偶的陈-西蒙斯作用量的耦合,它与QCD引力异常直接相关,因此构成了任何五维QCD弦/引力对偶理论的普遍部分。我们认为这使得赝标介子的高能中心产生成为AdS/QCD模型的一个有趣的探索。

英文摘要:

We construct a string-inspired model for the central production of $η$ and $η'$ mesons in proton-proton collisions, via double Pomeron exchange. Using general symmetry considerations, we construct a low-energy differential cross section for double glueball exchange in terms of some undetermined coupling constants and form factors. We extend this model to the Regge regime, replacing the glueball propagators with Pomeron trajectories, and modifying the interaction term by a factor derived from the 5-string scattering amplitude in flat space. We then fix the couplings which remain undetermined, using the Sakai-Sugimoto framework to model low-energy QCD. Finally, we generate a simulation of the scattering process at $\sqrt{s} = 29.1 GeV$, where double Pomeron exchange should play a role (secondary to double Reggeon exchange). We focus on the dependence of the scattering cross section on the angle between the scattered protons in the transverse plane. The results exhibit a definite deviation from the angular dependence that arises as a consequence of natural parity violation alone. The amount of deviation is primarily determined by couplings that come from the Chern-Simons action of the AdS/QCD supergravity dual, which is directly related to the QCD gravitational anomaly, and thus constitutes a universal part of any five-dimensional string/gravity dual theory of QCD. We argue that this makes the high energy central production of pseudoscalar mesons an interesting probe of AdS/QCD models.

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