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The paper considers the features of positron channeling in non-chiral carbon nanotubes (CNTs) of types (8, 0), (10, 0), (12, 0), (8, 8), (10, 10) and (12, 12). The conditions under which the approximation U(\rho) = \alpha \rho^2 can be used for the interaction potentials of these positrons with the inner walls of CNTs are studied.
For such an approximation, the numerical values of the parameter α are found for all CNTs under consideration, and the minimum values of the Lorentz-factors are calculated for which the Schrödinger equation with a given function U(\rho) is solved. Using these data, the spectral distributions of spontaneous emission are calculated based on the methods of quantum mechanical and classical considerations for positron beams with different angular dispersions channeled along the CNT symmetry axes.