具有碰撞参量的非线性发展方程在小x和超越LL近似下的数值解
Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
摘要：
数值分析了小x下具有碰撞参量依赖性的非线性演化方程。提取了碰撞参量中的饱和尺度和膨胀半径作为快度的函数。在此演化过程中考虑了运行耦合，并发现解对红外正则化敏感。通过修改包含快度相关切割的核函数，部分地考虑了领先对数近似之外的运动学效应。虽然局部非线性演化对这些影响并不十分敏感，但在具有碰撞参量的演化中，运动学约束不可忽略。
英文摘要：
Nonlinear evolution equation at small x with impact parameter dependence is analyzed numerically. Saturation scales and the radius of expansion in impact parameter are extracted as functions of rapidity. Running coupling is included in this evolution, and it is found that the solution is sensitive to the infrared regularization. Kinematical effects beyond leading logarithmic approximation are taken partially into account by modifying the kernel which includes the rapidity dependent cuts. While the local nonlinear evolution is not very sensitive to these effects, the kinematical constraints cannot be neglected in the evolution with impact parameter.
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