Theoretical Study on Rotational Bands and Shape Coexistence of $^{183,185,187}${Tl} in the Particle Triaxial-Rotor Model

Physics – Nuclear Physics – Nuclear Theory

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16 pages, 5 figures. To appear in Physical Review C

Scientific paper

10.1103/PhysRevC.73.034304

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 $^{183,185,187}$Tl systemically. The calculated energy spectra agree with experimental data quite well. The obtained results indicate that the aligned bands observed in $^{183,185,187}$Tl 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 $^{183,185,187}$Tl 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 $^{187}$Tl is generated by a proton with configuration $[606]{{13/2}}^{+}$ coupled to a triaxial oblate core.

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