论文标题
使用同质扰动方法的Balitsky-Kovchegov方程的分析解决方案
An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method
论文作者
论文摘要
在这项工作中建议使用同型扰动方法（HPM）的Balitsky-Kovchegov（BK）方程的近似分析解决方案。我们已经在深度非弹性散射（DIS）的扰动QCD（PQCD）偶极子图片中进行了工作。动量空间中的BK方程有一些变化的变化和BFKL（BALITSKY-FADIN-KURAEV-LIPATOV）内核的截断，可以减少到FKPP（Fisher-Kolmogorov-Pertovsky-Piscounov）方程[Munier and Peschanski 2003]。观察到的几何缩放现象类似于FKPP方程的行驶波解。我们使用HPM解决了BK方程。在这项工作中获得的解决方案还表明，在各种速度上绘制的测量散射振幅N（K，Y）的行动波性质。这项工作中获得的结果可能有助于高密度QCD中的不同现象学研究。
An approximate analytical solution of the Balitsky-Kovchegov (BK) equation using the homotopy perturbation method (HPM) is suggested in this work. We have carried out our work in perturbative QCD (pQCD) dipole picture of deep inelastic scattering (DIS). The BK equation in momentum space with some change of variables and truncation of the BFKL (Balitsky-Fadin-Kuraev-Lipatov) kernel can be reduced to the FKPP (Fisher-Kolmogorov-Petrovsky-Piscounov) equation [Munier and Peschanski 2003]. The observed geometric scaling phenomena are similar to the travelling wave solution of the FKPP equation. We solved the BK equation using the HPM. The obtained solution in this work also suggests the travelling wave nature of the measured scattering amplitude N(k, Y) plotted at various rapidities. The result obtained in this work can be helpful for different phenomenological studies in high-density QCD.
