Band head spin determination of triaxial superdeformed bands in 163,164,165Lu through two-parameter formulae

  • The two-parameter formulae, i.e. the nuclear softness formula and the power index formula, have been used to obtain the band head spin (I0) of the triaxial superdeformed (SD) bands in 163Lu(1, 2, 3, 4), 164Lu(1, 2, 3) and 165Lu(1, 2, 3), in the A~160 mass region. The least squares fitting approach is used. The values of the root mean square (RMS) deviation among the computed and the measured experimental transition energies are obtained by calculating the model parameters. Whenever accurate spins are available, superb agreement is shown between the determined and the measured experimental transition energies. In comparison to the power index formula, the values of band head spin (I0) of the triaxial SD bands in 163Lu(1, 2, 3, 4), 164Lu(1, 2, 3) and 165Lu(1, 2, 3) obtained by the nuclear softness formula are closer to the experimental data. The lowest RMS deviation is also achieved by the nuclear softness formula. Hence, the nuclear softness formula works well for obtaining the band head spin (I0) for the triaxial SD bands in 163Lu(1, 2, 3, 4), 164Lu(1, 2, 3) and 165Lu(1, 2, 3) in the A~160 mass region. The dynamic moment of inertia against is also studied.
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Honey Sharma and H. M. Mittal. Band head spin determination of triaxial superdeformed bands in 163,164,165Lu through two-parameter formulae[J]. Chinese Physics C, 2018, 42(11): 114102. doi: 10.1088/1674-1137/42/11/114102
Honey Sharma and H. M. Mittal. Band head spin determination of triaxial superdeformed bands in 163,164,165Lu through two-parameter formulae[J]. Chinese Physics C, 2018, 42(11): 114102.  doi: 10.1088/1674-1137/42/11/114102 shu
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Received: 2018-05-24
Revised: 2018-08-02
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Band head spin determination of triaxial superdeformed bands in 163,164,165Lu through two-parameter formulae

  • 1. Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, 144011, India

Abstract: The two-parameter formulae, i.e. the nuclear softness formula and the power index formula, have been used to obtain the band head spin (I0) of the triaxial superdeformed (SD) bands in 163Lu(1, 2, 3, 4), 164Lu(1, 2, 3) and 165Lu(1, 2, 3), in the A~160 mass region. The least squares fitting approach is used. The values of the root mean square (RMS) deviation among the computed and the measured experimental transition energies are obtained by calculating the model parameters. Whenever accurate spins are available, superb agreement is shown between the determined and the measured experimental transition energies. In comparison to the power index formula, the values of band head spin (I0) of the triaxial SD bands in 163Lu(1, 2, 3, 4), 164Lu(1, 2, 3) and 165Lu(1, 2, 3) obtained by the nuclear softness formula are closer to the experimental data. The lowest RMS deviation is also achieved by the nuclear softness formula. Hence, the nuclear softness formula works well for obtaining the band head spin (I0) for the triaxial SD bands in 163Lu(1, 2, 3, 4), 164Lu(1, 2, 3) and 165Lu(1, 2, 3) in the A~160 mass region. The dynamic moment of inertia against is also studied.

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