  In this work, we present a new version of the Bohr collective Hamiltonian for
triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the
Hulth\'en potential. We shall call the developed model Z(5)-HD. Analytical
expressions for energy spectra are derived by means of the recent version of
the Asymptotic Iteration Method. The calculated numerical results of energies
and B(E2) transition rates are compared with the experimental data, and several
theoretical results from Z(5) model, the model Z(5)-H using the Hulth\'en
potential without DDM formalism as well as theoretical predictions of Z(5)-DD
model with Davidson potential using DDM formalism. The obtained results show an
overall agreement with experimental data and an important improvement in
respect to the other models.
