Abstract
The relativistic-Hartree-Bogoliubov formalism using density-dependent zero and finite range $\mathit{NN}$ interactions, and separable pairing, is applied to the Kr isotopes ($Z=36$) and $N=34--64$ isotopes, neutron-rich Sr($Z=38$) and Zr($Z=40$) nuclei with neutron numbers $N=48--70$. A systematic search of triaxial ground state and the phenomena of unusual structural change and the coexistence of shape for $^{70\ensuremath{-}100}\mathrm{Kr}$, and at $N=58$ in the $^{86\ensuremath{-}108}\mathrm{Sr}$ and $^{88\ensuremath{-}110}\mathrm{Zr}$ isotopes are done. A reasonable agreement is found with the available experimental data and with the macro-microscopic finite range droplet model. The findings are also in good agreement with the self-consistent Hartree-Fock-Bogoliubov calculations based on the interaction Gogny-D1S force, and with relativistic calculations.
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