Universal axial rainbow channeling interaction potential

Abstract

This study is devoted to the construction of the universal ion–crystal interaction potential in proton transmission through very thin crystals. We show how to obtain the interaction potential by using the crystal rainbow theory and rainbows’ morphological analysis in the proton transmission angular plane. By adjusting the shapes of rainbow lines, we modified the Molière’s interaction potential to make it accurate in all regions of the crystal channels. This procedure was based on our previous experimental and theoretical works. As a result, the two axial channeling directions can be treated in the same way leading to more consistent values of the fitting parameters in the ion–atom interaction potential. We obtained the universal rainbow ion–crystal interaction potential for very thin cubic crystals in the (001) and (111) orientations in the case of transmission channeling of 2 MeV proton beam.