  We present an exact rewriting of the Mie coefficients describing the
scattering of light by a spherical core-shell particle which enables their
interpretation in terms of an hybridization of the two surface modes arising,
respectively, at the core-shell and the shell-medium interface. For this
particular case we thus obtain from the Mie theory--analytically for all
multipole orders and hence for arbitrarily sized particles--the hybridization
scenario, which so far has been employed primarily for small particles in the
electrostatic approximation. To demonstrate the strength of the rewriting
approach we also extract the hybridization scenario for a stratified sphere
directly from the expansion coefficients for the electromagnetic fields.
