Coriolis-Distorted Bands of Commong92Parentage in Odd and Doubly OddN=41Nuclei

All features of a $\Delta I=1\mathrm{}$ band displaying Coriolis-like distortions based on a $4^{+}$ isomeric state, recently discovered in ${}_{}{}^{76}{}_{}{}^{}\mathrm{Br}$, are successfully described within the framework of a two-noninteracting-quasiparticle-plus-rotor calculation. Assuming the intrinsic state to be of $\tilde{\pi }{g}_{\frac{9}{2}}\otimes \tilde{\nu }{g}_{\frac{9}{2}}$ parentage it is possible to account in a natural way for the apparent relationship noted between this $4^{+}$ state and the ${\frac{5}{2}}^{+}$ ground-state band of the neighboring isotone ${}_{}{}^{77}{}_{}{}^{}\mathrm{Kr}$.