Description of the Chiral Doublet Bands in ¹³⁵Nd and ¹³⁶Nd

The chiral doublet bands in ¹³⁵Nd and ¹³⁶Nd 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.