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We investigate how the dynamic polarization of the carbon atoms valenceelectrons affects the spatial distributions of protons channeled in the (11, 9)single-wall carbon nanotubes placed in vacuum and embedded in variousdielectric media. The initial proton speed is varied between 3 and 8 a.u.,corresponding to the energies between 0.223 and 1.59 MeV, respectively, whilethe nanotube length is varied between 0.1 and 0.8 $\mu$m. The spatialdistributions of channeled protons are generated using a computer simulationmethod, which includes the numerical solving of the proton equations of motionin the transverse plane. We show that the dynamic polarization effect canstrongly affect the rainbow maxima in the spatial distributions, so as toincrease the proton flux at the distances from the nanotube wall of the orderof a few tenths of a nanometer at the expense of the flux at the nanotubecenter. While our findings are connected to the possible applications ofnanosized ion beams created with the nanotubes embedded in various dielectricmedia for biomedical research and in materials modification, they also open theprospects of applying ion channeling for detecting and locating the atoms andmolecules intercalated inside the nanotubes.

Channeling of Protons Through Carbon Nanotubes Embedded in Dielectric Media