الملخص

      Ground states bands (GSB) and negative parity band (NPB) of  isotopes have been calculated. Bohr-Mottelson (BM), Interacting boson approximation-1(IBM-1) and Interacting vector boson model (IVBM) were used for this purpose. The principal excited state (  ) and the proportion of the second to the primary excited state   provide primary information about the properties of the nucleus. The ratio of the gamma energy, over spin  of each state as a function of the angular momentum  (E-GOS), has been assessed to decide the ground states property of each nucleus. The ratio of energies of ( ) and ( ), states as a function of the angular momentum , have been attracted to decide numerically the properties of the ground states band of all states and all nuclei. The  staggering between octupole band and ground state band is found to display a beat pattern as a function of angular momentum . The methods which were used, showed the transitional U(5)-O(6) properties of , the general properties that U(5)-O(6)-SU(3) of , and the transitional properties O(6)-SU(3) of ; while  showed the SU(3) properties.