AI 中文总结
利用BLFQ框架研究光子-质子衍射散射中专属J/ψ产生截面，通过特定机制分解振幅，用算符矩阵元表示散射振幅，对角化哈密顿量求LFWFs，为BK方程提供初始条件，有助于探测质子结构及电子-离子对撞机实验。
AI 中文摘要
我们在基光前量子化（BLFQ）框架内研究光子-质子衍射散射中专属J/ψ产生的截面。该过程的主导阶贡献在偶极子模型中由电荷共轭偶数双胶子（“波默子”）交换机制很好地近似，它将总振幅分解为偶极子散射振幅以及J/ψ和光子光前波函数（LFWFs）的卷积。我们将偶极子散射振幅表示为插入质子态之间的胶子场算符的矩阵元，该矩阵元对质子LFWFs和比约肯标度变量x敏感。质子和J/ψ的LFWFs通过在BLFQ方法中对角化它们各自的光前哈密顿量获得，而虚光子LFWFs则取自微扰量子色动力学。我们的结果为Balitsky-Kovchegov（BK）方程提供了初始条件，可用于在更小的比约肯标度下探测质子结构。这项工作为未来的电子-离子对撞机实验提供了有价值的理论见解。
英文摘要
We investigate the cross-section for exclusive $J/ψ$ production in photon-proton diffractive scattering within the Basis Light-Front Quantization (BLFQ) framework. The leading-order contribution to this process is well approximated by the charge conjugation-even two-gluon (``pomeron") exchange mechanism in the dipole model, which factorizes the total amplitude into the dipole scattering amplitude and the convolution of the $J/ψ$ and photon light-front wave functions (LFWFs). We express the dipole scattering amplitude as the matrix element of gluon field operators inserted between proton states, with the element being sensitive to the proton LFWFs and the Bjorken scaling variable, $x$. The proton and $J/ψ$ LFWFs are obtained by diagonalizing their respective light-front Hamiltonians within the BLFQ approach, while the virtual photon LFWFs are employed from perturbative QCD. Our results provide initial conditions for the Balitsky-Kovchegov (BK) equation, which can be used to probe the proton structure at smaller Bjorken scales. This work offers valuable theoretical insights for future electron-ion collider experiments.
Comments10 pages, 6 figures
