Rainbows in transmission of high energy protons through carbon nanotubes

We investigate theoretically the angular distribution and the rainbows in the case of 1 GeV protons transmitted through the 1 mu m long rope of ( 10, 10) single-wall carbon nanotubes. The angular distribution of transmitted protons is generated by the computer simulation method using the numerical solution of the proton equations of motion. Then, the rainbow lines corresponding to the angular distribution are determined. The analysis shows that the rainbow pattern defines the angular distribution all its pronounced maxima except the maximum lying at the origin are the rainbow maxima. A possible application of the rainbow effect for characterization of nanotubes is suggested