Oblate-prolate shape coexistence at finite angular momentum

We investigate shape coexistence in a rotating nucleus. We concentrate on the interesting case of 72-Kr which exhibits an interesting interplay between prolate and oblate states as a function of angular momentum. The calculation uses the local harmonic version of the method of self-consistent adiabatic large-amplitude collective motion. We find that the collective behaviour of the system changes with angular momentum and we focus on the role of non-axial shapes.