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arXiv 2008.07452hep-phhep-ex
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质子-质子碰撞中轴矢量$f_{1}(1285)$和$f_{1}(1420)$介子的中心排斥衍射产生

Central exclusive diffractive production of axial-vector $f_{1}(1285)$ and $f_{1}(1420)$ mesons in proton-proton collisions

Piotr Lebiedowicz, Josef Leutgeb, Otto Nachtmann, Anton Rebhan, Antoni Szczurek

备注：
47 pages, 13 figures
发表信息：
Phys. Rev. D 102, 114003 (2020)
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摘要：

本文研究了质子-质子碰撞中$f_{1}(1285)$和$f_{1}(1420)$共振的中心排斥衍射产生。理论计算结果内的张量pomeron方法。推导了两个分别用$(l,S) = (2,2)$和$(4,4)$标记的pomeron-pomeron- $f_{1}$张量耦合。我们调整模型参数（耦合常数，截止常数）的WA 102的实验数据，考虑到吸收效应。$(l,S) = (2,2)$和$(4,4)$耦合分别允许描述WA 102差分分布。我们将这些预测与Sakai-Sugimoto模型的预测进行了比较，在Sakai-Sugimoto模型中，坡密子-坡密子- $f_{1}$耦合由QCD的混合轴向引力异常决定。我们推导出了这种方法的pomeron-pomeron- $f_{1}$耦合常数与$(l,S) = (2,2)$和$(4,4)$耦合常数之间的近似关系。然后，我们提出了我们的预测，在RHIC和LHC可用的能量。给出了总截面和几种微分分布。分析出射质子的横向动量之间的方位角$ϕ_{pp}$的分布可以用于解开对同一最终通道有贡献的$f_{1}$型和$η$型共振。我们发现$f_{1}(1285)$的总截面$\sim 38$ $μ$ b的$\sqrt{s} = 13$ TeV和快切的$f_{1}$的$|{\rm y_{M}}| < 2.5$。我们预测一个更大的横截面生产$f_{1}(1285)$比生产$f_{2}(1270)$的$π^{+}π^{-}π^{+}π^{-}$衰变通道的LHC能量。这为在大型强子对撞机计划的实验中研究$f_{1}(1285)$介子提供了可能性。

英文摘要：

We present a study of the central exclusive diffractive production of the $f_{1}(1285)$ and $f_{1}(1420)$ resonances in proton-proton collisions. The theoretical results are calculated within the tensor-pomeron approach. Two pomeron-pomeron-$f_{1}$ tensorial couplings labeled by $(l,S) = (2,2)$ and $(4,4)$ are derived. We adjust the model parameters (coupling constants, cutoff constant) to the WA102 experimental data taking into account absorption effects. Both the $(l,S) = (2,2)$ and $(4,4)$ couplings separately allow one to describe the WA102 differential distributions. We compare these predictions with those of the Sakai-Sugimoto model, where the pomeron-pomeron-$f_{1}$ couplings are determined by the mixed axial-gravitational anomaly of QCD. We derive an approximate relation between the pomeron-pomeron-$f_{1}$ coupling constants of this approach and the $(l,S) = (2,2)$ and $(4,4)$ couplings. Then we present our predictions for the energies available at the RHIC and LHC. The total cross sections and several differential distributions are presented. Analysis of the distributions in the azimuthal angle $ϕ_{pp}$ between the transverse momenta of the outgoing protons may be used to disentangle $f_{1}$- and $η$-type resonances contributing to the same final channel. We find for the $f_{1}(1285)$ a total cross section $\sim 38$ $μ$b for $\sqrt{s} = 13$ TeV and a rapidity cut on the $f_{1}$ of $|{\rm y_{M}}| < 2.5$. We predict a much larger cross section for production of $f_{1}(1285)$ than for production of $f_{2}(1270)$ in the $π^{+}π^{-}π^{+}π^{-}$ decay channel for the LHC energies. This opens a possibility to study the $f_{1}(1285)$ meson in experiments planned at the LHC.

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