Angular distributions of 1Â GeV protons channeled in bent short single-wall carbon nanotubes

This study is devoted to the angular distribution of protons of the energy of 1 GeV channeled in a bent short rope of (10, 10) single-wall carbon nanotubes as a function of the bending angle. The rope length was chosen to be 7 μm, corresponding to the reduced rope length associated with the transverse proton motion inside a nanotube equal to 0.103. The bending angle was varied between 0 and 1.5 mrad. The angular distributions of channeled protons and the corresponding rainbow patterns were generated using the theory of crystal rainbows, with the Molière's expression for the continuum potential of the rope. The results obtained show that the total yield of protons channeled in the rope as a function of the bending angle has the inflection point at 0.45 mrad, and that it falls below 10% of the yield for the straight rope at 1.25 mrad.