Analytical description of odd-A nuclei around the critical point of shape phase transition within a conjunction of γ-rigid and γ-stable in the presence of deformation-dependent mass formalism

We have investigated a conjunction of γ-rigid and γ-stable collective motion of odd-A nuclei around the critical point of spherical to axially deformed shape phase transition. Our model is made on even–even nuclei with the [Formula: see text] critical point symmetry that is coupled to a single nucleon in a j orbit. The Davidson potential for the β part is applied to the γ-rigid and γ-stable part of a Bohr–Hamiltonian in the presence of a deformation-dependent mass term and spin-orbit interaction. The solutions provide baselines for odd-mass nuclei with the [Formula: see text] symmetry as Bose–Fermi dynamical symmetry. The level structure and transition patterns for some special j is estimated in detail.