  Recently, a variant of the Bohr Hamiltonian was proposed where the mass term
is allowed to depend on the beta variable of nuclear deformation. Analytic
solutions of this modified Hamiltonian have been obtained using the Davidson
and the Kratzer potentials, by employing techniques from supersymmetric quantum
mechanics. Apart from the new set of analytic solutions, the newly introduced
Deformation-Dependent Mass (DDM) model offered a remedy to the problematic
behaviour of the moment of inertia in the Bohr Hamiltonian, where it appears to
increase proportionally to the square of beta. In the DDM model the moments of
inertia increase at a much lower rate, in agreement with experimental data. The
current work presents an application of the DDM-model suitable for the
description of nuclei at the point of shape/phase transitions between
vibrational and gamma-unstable or prolate deformed nuclei and is based on a
method that was successfully applied before in the context of critical point
symmetries.
