Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Anwer A

doi:10.1088/1674-1137/39/8/084101

Chinese Physics C> 2015, Vol. 39> Issue(8) : 084101 DOI: 10.1088/1674-1137/39/8/084101

Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Anwer A

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Energy levels and the reduced probability of E2-- transitions for ytterbium isotopes with proton number Z=70 and neutron numbers between 100 and 106 have been calculated through phenomenological (PhM) and interacting boson (IBM-1) models. The predicted low-lying levels (energies, spins and parities) and the reduced probability for E2-- transitions results are reasonably consistent with the available experimental data. The predicted low-lying levels (gr--, β₁-- and γ₁-- band) produced in the PhM are in good agreement with the experimental data compared with those by IBM-1 for all nuclei of interest. In addition, the phenomenological model was successful in predicting the β₂--, β₃--, β₄--, γ₂-- and 1⁺-- band while it was a failure with IBM-1. Also, the 3⁺-- band is predicted by the IBM-1 model for ¹⁷²Yb and ¹⁷⁴Yb nuclei. All calculations are compared with the available experimental data.

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Anwer A. Correspondence between phenomenological and IBM-1 models of even isotopes of Yb[J]. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101

Anwer A. Correspondence between phenomenological and IBM-1 models of even isotopes of Yb[J]. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101 shu

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Received: 2014-08-27
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Correspondence between phenomenological and IBM-1 models of even isotopes of Yb

Anwer A

Received Date: 2014-08-27
Accepted Date: 1900-01-01
Available Online: 2015-08-15

Abstract: Energy levels and the reduced probability of E2-- transitions for ytterbium isotopes with proton number Z=70 and neutron numbers between 100 and 106 have been calculated through phenomenological (PhM) and interacting boson (IBM-1) models. The predicted low-lying levels (energies, spins and parities) and the reduced probability for E2-- transitions results are reasonably consistent with the available experimental data. The predicted low-lying levels (gr--, β₁-- and γ₁-- band) produced in the PhM are in good agreement with the experimental data compared with those by IBM-1 for all nuclei of interest. In addition, the phenomenological model was successful in predicting the β₂--, β₃--, β₄--, γ₂-- and 1⁺-- band while it was a failure with IBM-1. Also, the 3⁺-- band is predicted by the IBM-1 model for ¹⁷²Yb and ¹⁷⁴Yb nuclei. All calculations are compared with the available experimental data.