  Using a new approach to the analysis of false vacuum decay based on the
so-called tunneling potential, we develop a general method to find scalar
potentials with a false vacuum with exactly solvable decay at the
semi-classical level, including gravitational corrections. We examine in
particular the decays of de Sitter vacua providing concrete examples that allow
to explore analytically the transition between the Coleman-De Luccia and
Hawking-Moss regimes.
