  At low temperature the photoluminescence of single-wall carbon nanotubes show
a large variety of spectral profiles ranging from ultra narrow lines in
suspended nanotubes to broad and asymmetrical line-shapes that puzzle the
current interpretation in terms of exciton-phonon coupling. Here, we present a
complete set of photoluminescence profiles in matrix embedded nanotubes
including unprecedented narrow emission lines. We demonstrate that the
diversity of the low-temperature luminescence profiles in nanotubes originates
in tiny modifications of their low-energy acoustic phonon modes. When low
energy modes are locally suppressed, a sharp photoluminescence line as narrow
as 0.7 meV is restored. Furthermore, multi-peak luminescence profiles with
specific temperature dependence show the presence of confined phonon modes.
