Chirality dependence of Raman cross-section of carbon nanotubes

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 {\it et al.,} Appl. Phys. A {\bf 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 electron-phonon coupling.