By taking the particle triaxial-rotor model with variable moment of inertia,
we investigate the energy spectra, the deformations and the single particle
configurations of the nuclei 183,185,187Tl systemically. The calculated
energy spectra agree with experimental data quite well. The obtained results
indicate that the aligned bands observed in 183,185,187Tl originate from
the [530]1/2−, [532]3/2−, [660]1/2+ proton
configuration coupled to a prolate deformed core, respectively. Whereas, the
negative parity bands built upon the 9/2− isomeric states in
183,185,187Tl are formed by a proton with the [505]9/2−
configuration coupled to a core with triaxial oblate deformation, and the
positive parity band on the 13/2+ isomeric state in 187Tl is
generated by a proton with configuration [606]13/2+ coupled to a
triaxial oblate core.Comment: 16 pages, 5 figures. To appear in Physical Review