  We present a novel mechanism for generating a Cosmological Constant and
suitably sequestering the vacuum contribution to it, so that the eponymous
Cosmological Constant problem is avoided.
  We do so by resorting to a model endowed with a non-minimal coupling between
curvature and matter in an appropriately defined relaxed regime, and show that
this shares features with both Unimodular gravity as well as a recent proposal
to sequester the vacuum contribution through the use of an external term to the
action functional.
