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arXiv 1502.01113hep-ph
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相对论复合系统在碰撞参量空间的横向畸变

Transverse distortion of a relativistic composite system in impact parameter space

Narinder Kumar, Harleen Dahiya

摘要:

利用量子电动力学中电子的两粒子Fock态的显式光阵面波函数,研究了碰撞参量空间中的广义部分子分布。GPD的傅里叶变换(FT)给出了零纵向动量转移($ξ=0$)时夸克在横平面上的分布。研究了靶核子横向极化时自旋翻转GPD $E(x,0,-\vecΔ_\perp^2)$与横平面非极化夸克分布畸变的关系,并从反常磁矩的符号确定了畸变的符号。为了验证失真的符号,我们还通过在位置空间坐标$\vec{f}_\perp$中执行FT来直接从LFWF计算失真的符号。利用卷积积分还可以得到两个空间中变形之间的显式关系。为了显示模型LFWFs与真实核子物理模型的关系,我们设计了一个模型LFWFs的比重函数,并将其积分到质量参数上。我们还在AdS/QCD全息LFWFs模型中模拟了核子的形状因子,研究了近距离幂律行为。

英文摘要:

We investigate the Generalized Parton Distributions (GPDs) in impact parameter space using the explicit light front wave functions (LFWFs) for the two-particle Fock state of the electron in QED. The Fourier transform (FT) of the GPDs gives the distribution of quarks in the transverse plane for zero longitudinal momentum transfer ($ξ=0$). We study the relationship of the spin flip GPD $E(x,0,-\vecΔ_\perp^2)$ with the distortion of unpolarized quark distribution in the transverse plane when the target nucleon is transversely polarized and also determine the sign of distortion from the sign of anomalous magnetic moment. To verify the sign of distortion, we also compute it directly from the LFWFs by performing a FT in position space coordinate $\vec{f}_\perp$. The explicit relation between the deformation in the two spaces can also be obtained using the convolution integrals. To show the relation of the model LFWFs to a realistic model of nucleon physics, we have designed a specific weight function of our model LFWFs and integrated it over the mass parameter. Also we have simulated the form factor of the nucleon in the AdS/QCD holographic LFWFs model and studied the power-law behaviour at short distances.

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