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Motivation : Several theoretical comparisons with experimental data haverecently pointed out that the mass tensor of the collective Bohr Hamiltoniancannot be considered as a constant and should be taken as a function of thecollective coordinates. Method : The Davydov-Chaban Hamiltonian, describing thecollective motion of {\gamma}-rigid atomic nuclei, is modified by allowing themass to depend on the nuclear deformation. Moreover, the eigenvalue problem forthis Hamiltonian is solved for Davidson potential and {\gamma} = 30{\deg}involving an Asymptotic Iteration Method (AIM). The present model isconventionally called Z(4)-DDM-D (Deformation Dependent Mass with Davidsonpotential), in respect to the so called Z(4) model. Results : Exact analyticalexpressions are derived for energy spectra and normalized wave functions, forthe present model. The obtained results show an overall agreement with theexperimental data for 108-116Pd, 128-132Xe, 136;138Ce and 190-198Pt and animportant improvement in respect to other models. Prediction of a new candidatenucleus for triaxial symmetry is made. Conclusion : The dependence of the masson the deformation reduces the increase rate of the moment of inertia withdeformation, removing a main drawback of the model and leading to an improvedagreement with the corresponding experimental data.

Davydov-Chaban Hamiltonian with deformation-dependent mass term for {\gamma} = 30{\deg}