Title: Pion Generalized Distribution Amplitudes in the Nonlocal Chiral Quark Model Show Chinese title

Title: 介子广义分布幅度在非局域手征夸克模型中

Abstract: We use a simple, instanton motivated, nonlocal chiral quark model to calculate pion Generalized Distribution Amplitudes (GDAs). The nonlocality appears due to the momentum dependence of the constituent quark mass, which we take in a form of a generalized dipole formula. With this choice all calculations can be performed directly in the Minkowski space and the sensitivity to the shape of the cutoff function can be studied. We demonstrate that the model fulfills soft pion theorems both for chirally even and chirally odd GDAs. The latter one cannot be derived by the methods of current algebra. Whenever possible we compare our results with the existing data. This can be done for the pion electromagnetic form factor and quark distributions as measured in the proton-pion scattering. Show Chinese abstract

Abstract: 我们使用一个简单、受瞬子启发的非局部手征夸克模型来计算介子广义分布幅度（GDAs）。 非局部性出现是因为组成夸克质量的动量依赖性，我们采用广义二极管公式的形式。 通过这种选择，所有计算都可以直接在闵可夫斯基空间中进行，并可以研究对截断函数形状的敏感性。 我们证明该模型在手征偶和手征奇的GDAs中都满足软介子定理。 后者无法通过电流代数的方法推导出来。 只要有可能，我们将我们的结果与现有数据进行比较。 这可以针对介子电磁形式因子和质子-介子散射中测量的夸克分布进行。