The chiral doublet bands in^(135)Nd and^(136)Nd are investigated systematically within the supersymmetry scheme including many-body interactions and possessing the SO(5)(or SU(5))symmetry on the rotational symmetry.Quantitatively good results of the energy spectra,the energy staggering parameter as a function of the spin and the spin assignment are obtained.The calculation shows that the stronger competition between the pairing and anti-pairing effects exists in these chiral doublet bands and the SU(3)symmetry breaking more seriously exists in the stable chiral structure.
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