High spin gamma-ray spectroscopy of 185Tl and 187Tl has been performed
with the reactions Gd-154(Cl-35, 4n) and Tb-159(S-32, 4n). Positive g
amma-ray identification with the thallium isotopes was made via X-ray
coincidences, and supported by mass selected gamma-ray spectra, the la
tter obtained with the reactions Gd-154(Ar-36, p4n) and Gd-155(Ar-36,
p3n). Rotational bands associated with both prolate and oblate shape w
ere observed. The bandheads of the proposed oblate 13/2+ [606] states
were found to be isomeric, with meanlives of 12 +/- 2 ns in Tl185 and
1.0 +/- 0.2 ns in Tl187. Prolate deformed i13/2 bands were observed in
both nuclei, while in Tl187, bands due to h9/2 and f7/2 protons coupl
ed to the prolate shape are also assigned. An h9/2 band is tentatively
assigned in Tl185. The observation of these rotation-aligned bands at
low excitation energy implies that the development of prolate deforme
d minima in the odd nuclei is not necessarily blocked by occupation of
a single deformation-driving orbital. Equilibrium deformation calcula
tions for intrinsic states in a range of thallium nuclei are presented
. Experimental trends with mass number are reproduced, but absolute ex
citation energies, and energy differences between the prolate and obla
te states are not, continuing the persistent discrepancy between theor
y and experiment in the mercury region. Theoretical calculations of in
truder orbital occupation probabilities show a correlation between pro
late deformation and h9/2 and f7/2 proton pair population, in particul
ar of the 1/2- [541] orbital from the h9/2 proton shell. They also sho
w that blocking of the 1/2- [541] orbital significantly suppresses the
prolate deformation. Implications for the structure of the prolate de
formed mercury and thallium isotopes are considered, leading to the co
nclusion that the prolate mercury core nuclei consist of a mixture of
low-OMEGA proton intruder excitations.