论文标题
轴向矢量Quarkonium $γ^*γ^* $ form form ysmos的轻front方法
Light-front approach to axial-vector quarkonium $γ^* γ^*$ form factors
论文作者
论文摘要
在这项工作中，我们通过两光子融合过程$γ^*γ^* \ to 1^{++} $对轴向矢量膜产生的过渡形式进行详细研究，并在最终状态下具有$ p $ -P $ -Wave-Wave Axial-Wave Axector Quarkonium。在此分析中，我们采用了从schrödinger方程解决方案获得的光列前波函数的形式主义，用于选择$ q \ bar q $相互作用的Quark势。我们发现矩阵元素的螺旋结构和协变量分解通常可用于任何$ q \ bar q $ q $ axial-axial-vector-vector-q $γ^*γ^*γ^*γ^* \ to 1^{++} $过渡，而我们的数值结果则用于现象学相关的charmony charmonium $ umut of choc1 $ ac1}。我们将螺旋形式归为两个光子虚拟的功能。我们还获得了$ q f _ {\ rm lt}（q^2,0）/f _ {\ rm tt}（q^2,0）= {\ rm const。} $
In this work, we perform a detailed study of transition form factors for axial-vector meson production via the two-photon fusion process $γ^* γ^* \to 1^{++}$, with space-like virtual photons in the initial state and a $P$-wave axial-vector quarkonium in the final state. In this analysis, we employ the formalism of light-front quarkonium wave functions obtained from a solution of the Schrödinger equation for a selection of interquark potentials for $Q \bar Q$ interaction. We found the helicity structure and covariant decomposition of the matrix elements that can be generically applied for any $q \bar q$ axial-vector meson $γ^* γ^* \to 1^{++}$ transition, while our numerical results are given for the phenomenologically relevant charmonium $χ_{c1}$ state. We present the helicity form factors as functions of both photon virtualities. We also obtain, that $Q F_{\rm LT}(Q^2,0)/F_{\rm TT}(Q^2,0) = {\rm const.}$
