Abstract
The chiral interpretation of negative-parity twin bands in the odd-$A$ $^{135}\mathrm{Nd}$ nucleus was investigated in the interacting boson-fermion model. The IBFM calculation shows that the dominant role in the formation of the chiral pattern has the exchange interaction, i.e., the antisymmetrization of odd fermions with the fermion structure of the bosons. The structure of the twin bands in $^{137}\mathrm{Nd}$ has also been investigated, concluding that it is determined by shape fluctuations and prolate-oblate coexistence rather than by chirality.
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