The occurrence of oblate and prolate shapes is investigated theoretically for odd-odd neutron-rich nuclei with $A\approx 190$. Using the cranked Woods-Saxon-Strutinsky method, including configuration constraints, it is found that collective oblate rotation coexists with high-$K$ prolate rotation, for tantalum and rhenium isotopes with $N=115$ and 117.

• Received 6 October 2006

DOI:https://doi.org/10.1103/PhysRevC.74.067303