Abstract
The chirality dependence for the cross section of Raman scattering from the radial breathing mode of carbon nanotubes observed in recent experiments [S. K. Doorn, D. A. Heller, P. W. Barone, M. L. Usrey, and M. S. Strano, Appl. Phys. A: Mater. Sci. Process. 78, 1147 (2004)] is explained using the empirical tight-binding method. It is shown that the transfer and overlap integrals usually neglected while accounting for the electron energy spectrum in carbon nanotubes play a crucial role in description of the exciton-phonon coupling.