Theoretical perspectives of nuclear structure in ${}^{82-88}$Ge and ${}^{66-74}$Se isotopes

The current work exhibits the effective implementation of the triaxial projected shell model (TPSM) to explore the non-axial features displayed by ${}^{82-88}$Ge and ${}^{66-74}$Se isotopes located close to the shell closures at Z = 28 and N = 50.The interaction of excited band structures with the ground state seems to have a profound and considerable impact on the pattern of deformation of these nuclei. The systematic comparison and analysis of the deformation systematics of E(2${}_1^{+}$) and R${}_{4/2}$ ratio reflect the γ-soft nature of the neutron-deficient Se isotopes, whereas neutron-rich Ge isotopes demonstrate a shape transition from spherical to γ-soft nature. The application of TPSM in the present work not only yields the yrast band but also brings forth γ - and 2γ-vibrational band spectra upto high spins for the first time. To properly comprehend the evolution of intrinsic nuclear structural features of the studied even-even Ge and Se isotopic chains, numerous other nuclear structure properties, such as back-bending in MOI, variation of g-factor with angular momentum, and reduced transition probabilities of γ- and g-band, have also been covered within the deformed triaxial basis. The TPSM results, generated by using the most appropriate values of parameters in the Hamiltonian for studied even-even Ge and Se isotopic chains, are in reasonable accordance with their experimental counterparts as well as other theoretical results.