论文标题
生产$η_{C}（1s，2s）$ in $ e^+ e^ - $和$ pp $ collisision
Production of $η_{c}(1S,2S)$ in $e^+ e^-$ and $pp$ collisions
论文作者
论文摘要
我们得出了$γ^{\ star}γ^{\ star} \toη_{c}（1s），η_{C}（2S）$过渡formation $ f（q^2_1，q^2_2）$的$γ^{\ star}γ^{\ Star} \ to $γ^{\ star}γ^{\ star} \ to $γ^{\ star}γ^{\ star} \ to the Light-Front Wave函数（LFWF）表示。对于LFWF，我们使用从Schrödinger方程解决方案获得的不同模型，用于各种$ C \ bar {C} $电位。我们将结果与$η_{C}（1s）$过渡形式的Babar实验数据进行比较，一个真实的和一个虚拟光子。我们观察到渐近行为的发作是强烈延迟的，并讨论了共线和/或无质量极限的适用性。 此外，我们还对$ k _ {\ perp} $ - Quarkonium Wave函数的$ k _ {\ perp} $ - 分解$ quarkonia hadRoduluct的$η_{c}（1s，2s）的彻底分析。 $ g^{\ star} g^{\ star} \toη_{c}（1s，2s）$顶点的脱壳矩阵元素被得出。我们讨论了考虑Gluon虚拟的重要性。我们介绍了$η_C$的横向动量分布，用于几种未融合的Gluon分布的型号。对于$ c \ bar {c} $相互作用势与与介子光谱一致的四个不同的参数化，我们的计算是对四个不同的参数进行的。我们将$η_{C}（1s）$的结果与LHCB协作的测量结果进行了比较，并提供了$η_{C}（2s）$生产的预测。
We derive the light-front wave function (LFWF) representation of the $γ^{\star} γ^{\star} \to η_{c} (1S),η_{c}(2S)$ transition form factor $F(Q^2_1,Q^2_2)$ for two virtual photons in the initial state. For the LFWF, we use different models obtained from the solution of the Schrödinger equation for a variety of $c\bar{c}$ potentials. We compare our results to the BaBar experimental data for the $η_{c}(1S)$ transition form factor, for one real and one virtual photon. We observe that the onset of the asymptotic behaviour is strongly delayed and discuss applicability of the collinear and/or massless limit. In addition, we present a thorough analysis of $η_{c}(1S,2S)$ quarkonia hadroproduction in $k_{\perp}$-factorisation in the framework of the light-front potential approach for the quarkonium wave function. The off-shell matrix elements for the $g^{\star} g^{\star} \to η_{c} (1S,2S)$ vertices are derived. We discuss the importance of taking into account the gluon virtualities. We present the transverse momentum distributions of $η_c$ for several models of the unintegrated gluon distributions. Our calculations are performed for four distinct parametrizations for the $c\bar{c}$ interaction potential consistent with the meson spectra. We compare our results for $η_{c}(1S)$ to measurements by the LHCb collaboration and present predictions for $η_{c}(2S)$ production.
