  We propose an extension of the Continuum Discretized Coupled Channels (CDCC)
method, where the projectile is described by a microscopic cluster model. This
microscopic generalization (MCDCC) only relies on nucleon-target interactions,
and therefore presents an important predictive power. Core excitations can be
included without any further parameter. As an example we investigate the
$\lipb$ elastic scattering at $E_{lab}=27$ and 35 MeV. The $^7$Li nucleus is
known to present an $\alpha+t$ cluster structure, and is well described by the
Resonating Group Method. An excellent agreement is obtained for the $\lipb$
elastic cross sections, provided that breakup channels are properly included.
We also present an application to inelastic scattering, and discuss future
applications of the MCDCC.
