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Properties of the four rotation bands,(157)~Er(1,2)and(158)~Er(1,2),at ultrahigh spin are investigated withinthe supersymmetry scheme including many-body interactions and possessing the SO(5)(or SU(5))symmetry on therotational symmetry.Quantitatively good results of the γ-ray energies and the dynamical moments of inertia in therotation bands in(157)~Er and(157)~Er at ultrahigh spin are obtained.We theoretically predict that the competition betweenthe anti-pairing and pairing effects may exist in(157)~Er(1,2)and(157)~Er(2)bands states.In(157)~Er(1)band state,the favoure-painng effects may exist and the SO(5)(or SU(5))symmetry play a dominant role.There may be sphere coexisting withheadecupole deformed in(157)~Er(1)rotation band state.
Properties of the four rotation bands, (157) ~ Er (1,2) and (158) ~ Er (1,2), at ultrahigh spin are investigated withinthe supersymmetry scheme including many-body interactions and possessing the SO (5) or SU (5)) symmetry on therotational symmetry. Quantitatively good results of γ-ray energies and the dynamical moments of inertia in thermostatic bands in (157) ~ Er and (157) ~ Er at ultrahigh spin are obtained. We theoretically predict that the competition betweent anti-pairing and pairing effects may exist in (157) ~ Er (1,2) and (157) ~ Er (2) painng effects may exist and the SO (5) (or SU (5)) symmetry play a dominant role. may be sphere coexisting with degrees of deformation in (157) ~ Er (1) rotation band state.