arXiv 2003.143182020-03-31hep-ph

从过渡电磁形状因子$γ^* γ^* η_c(1S,2S)$到在LHC生产$η_c(1S,2S)$

From transition electromagnetic form factors $γ^* γ^* η_c(1S,2S)$ to the production of $η_c(1S,2S)$ at the LHC

Antoni Szczurek

备注：: 15 pages, 14 figures, presentation at the XXVI Cracow EPIPHANY Conference, LHC Physics: Standard Model and Beyond, 7-10 January 2020}
DOI：: 10.5506/APhysPolB.51.1559

摘要：

我们回顾了我们最近在$γ^* γ^* \to η_c(1S,2S)$聚变和质子-质子碰撞中通过胶子-胶子聚变产生$η_c(1S)$和$η_c(2S)$的结果。通过求解薛定谔方程计算了不同$c \bar c$势下的夸克偶素波函数。利用Terentev公式得到了光锥波函数。然后，使用光锥波函数来计算$γ^* γ^* \to η_c$转变形状因子。将理论结果与Belle的$η_c(1S)$实验数据进行了比较。此外，我们还讨论了双光子衰减宽度的结果。我们还提出了我们的质子-质子碰撞的计算结果内$k_T$ -因式分解方法获得不同的未积分胶子分布。将$η_c(1S)$的hadroproduction结果与LHCb实验数据进行了比较。

英文摘要：

We review our recent results for production of $η_c(1S)$ and $η_c(2S)$ in the $γ^* γ^* \to η_c(1S,2S)$ fusion and in proton-proton collisions via gluon-gluon fusion. The quarkonium wave functions are calculated by solving Schrödinger equation for different $c \bar c$ potentials. Using Terentev prescription the light-cone wave functions are obtained. The light-cone wave functions are used then to calculate $γ^* γ^* \to η_c$ transition form factors. The theoretical results are compared to the Belle experimental data for $η_c(1S)$. In addition we discuss our results for two-photon decay width. We present also results of our calculations for proton-proton collisions obtained within $k_T$-factorization approach for different unintegrated gluon distributions. The results for hadroproduction of $η_c(1S)$ are compared to the LHCb experimental data.

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