High-spin states in Hg-183 have been identified using the reaction Gd-
155(S-32,4n). Three prolate-deformed rotational bands associated with
the 1/2(-) [521], 7/2(-) [514] and mixed i(13/2) neutron orbitals are
observed, while the existence of an oblate 13/2(+) bandhead is inferre
d, implying co-existing prolate and oblate nuclear shapes. A two-band
mixing model used to fit the state energies of the i(13/2) neutron ban
ds in Hg-183,Hg-185,Hg-187 gives parameter values which are consistent
with the existence of two bands with different deformations. The B(E2
) ratios of the intra- and inter-band transitions in these coexisting
bands are also investigated. Many of the features can be reproduced bu
t difficulties remain, for example the results are not consistent with
the assumption of coexistence between simple prolate and oblate shape
s, a problem noted previously for the even-mass isotopes. Systematics
of the prolate-oblate energy differences show that the energy of the p
rolate well relative to the oblate well is similar to 350 keV lower in
the odd-mass isotopes than in the even-mass isotopes. Possible reason
s for this are described. The nature of the first alignment in the pro
late bands in the mercury isotopes is discussed within the cranked she
ll model.