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By taking the particle triaxial-rotor model with variable moment of inertia,we investigate the energy spectra, the deformations and the single particleconfigurations of the nuclei $^{183,185,187}$Tl systemically. The calculatedenergy spectra agree with experimental data quite well. The obtained resultsindicate that the aligned bands observed in $^{183,185,187}$Tl originate fromthe $[530]{{1/2}}^{-}$, $[532]{{3/2}}^{-}$, $[660]{{1/2}}^{+}$ protonconfiguration coupled to a prolate deformed core, respectively. Whereas, thenegative parity bands built upon the ${{9/2}}^{-}$ isomeric states in$^{183,185,187}$Tl are formed by a proton with the $[505]{{9/2}}^{-}$configuration coupled to a core with triaxial oblate deformation, and thepositive parity band on the ${{13/2}}^{+}$ isomeric state in $^{187}$Tl isgenerated by a proton with configuration $[606]{{13/2}}^{+}$ coupled to atriaxial oblate core.Comment: 16 pages, 5 figures. To appear in Physical Review

physical review. c. nuclear physics/physical review. c, nuclear physics

Theoretical study on rotational bands and shape coexistence of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Tl</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>183</mml:mn><mml:mo>,</mml:mo><mml:mn>185</mml:mn><mml:mo>,</mml:mo><mml:mn>187</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>in the particle-triaxial-rotor model

Theoretical study on rotational bands and shape coexistence ofTl183,185,187in the particle-triaxial-rotor model