The hybrid version of tilted axis cranking has been used to study the existence of magnetic rotation in the $\Delta I=1\mathrm{}$ bands of odd-$A$ ${}^{79,81,83,85}\mathrm{Rb}$ isotopes. The bands are found to be built on prolate three quasiparticle $\pi {(g}_{9/2})\otimes \nu [g_{9/2}{\mathrm{}\left(\mathrm{fp}\right)\mathrm{}}^1]$ configuration. The results exhibit a rapid onset and decline of magnetic rotation as we go from $N=42\mathrm{}$ to 48. The ${}^{83}\mathrm{Rb}$ appears to be a better case of magnetic rotation among these four Rb isotopes.

• Received 28 February 2001

DOI:https://doi.org/10.1103/PhysRevC.64.034308