Perpendicular Diffusion Effect of Cosmic Ray Dipole Anisotropy

Anisotropy is very important to understand cosmic ray (CR) source and interstellar environment. The theoretical explanation of cosmic rays anisotropy from experiments remains challenging and even puzzling for a long time. In this paper, by following the ideas of Jokipii 2007, we use a simple analytical model to study the CR dipole anisotropy amplitude, considering that CRs diffuse only in perpendicular direction, with the ratio between the secondary and primary cosmic rays omnidirectional particle distribution function as an input. We make power law fitting of the observed B/C ratio and use it as the input of the anisotropy model. We show that the modeling results can roughly describe the general trend of the observational data in energy range from $6\times 10^1$ to $3\times 10^{11}$ GeV. It is suggested that the perpendicular diffusion may play a significant role in CR anisotropy in the wide energy range.
Comment: 14 pages, 2 figures, 2 tables