Nilsson mean-field plus the extended pairing model description of rare earth nuclei

GUAN Xin; LI Hang; TAN Qi; PAN Feng

doi:10.1088/1674-1137/35/8/009

Chinese Physics C> 2011, Vol. 35> Issue(8) : 747-752 DOI: 10.1088/1674-1137/35/8/009

Nilsson mean-field plus the extended pairing model description of rare earth nuclei

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Abstract：
The Nilsson mean-field plus the extended pairing model for well-deformed nuclei is applied to some representative rare earth examples. The binding energies, some low-lying pair-excited states and even-odd mass differences of Er, Yb and Hf isotopes are calculated systematically within the proton frozen-pair excitation limit. A comparison with experimental data for these nuclei shows that the results of the extended pairing model are better than those for the standard pairing model with the BCS approximation and the nearest-orbit pairing model.

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[5]	Noora B . Analysis of the energy spectra of ground states of deformed nuclei in the rare-earth region. Chinese Physics C, 2015, 39(4): 044101. doi: 10.1088/1674-1137/39/4/044101
[6]	B. Patel , P. C. Vinodkumar . Quark-diquark model description for double charm baryons. Chinese Physics C, 2010, 34(9): 1399-1401. doi: 10.1088/1674-1137/34/9/053
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[12]	CHU Yan-Yun , CHEN Shuang , REN Zhong-Zhou . Three-body model for neutron-halo nuclei. Chinese Physics C, 2008, 32(12): 972-975. doi: 10.1088/1674-1137/32/12/006
[13]	YAO You-Kun , PAN Feng , LUO Yan-An , LIU Hai-Yan , XIE Ming-Xia . Description of Rare-Earth and Actinide Nuclei in the Nilsson Mean-Field Plus Nearest-Orbit Pairing Interaction Model. Chinese Physics C, 2006, 30(S2): 56-58.
[14]	PAN Feng . An Extended Pairing Model and Its Applications to Well-Deformed Nuclei. Chinese Physics C, 2004, 28(12): 1370-1372.
[15]	LIU ZhuHua , YANG ChunXiang . Triaxial Superdeformed Identical Bands in Rare-Earth Nuclei. Chinese Physics C, 2000, 24(6): 541-545.
[16]	Zhang Changhua , Gu Jinnan . Shell Model Calculation for Light Neutron-Rich Nuclei. Chinese Physics C, 1996, 20(S2): 165-170.
[17]	Wang Baolin . Calculation of Ground State Deformation of Even-Even Rare-Earth Nuclei in sdg Interacting Bosou Model. Chinese Physics C, 1995, 19(8): 764-768.
[18]	Zhang Zhaoxi , Li Xueqian , Yang Maozhi , Wang Jianxiong . Study on the Production of tc at LEPII Energy in the Extended Standard Model with Two Higgs-Doublets. Chinese Physics C, 1993, 17(S4): 335-345.
[19]	Liu Yong , Qi Hui , Yang Zesen . A Microscopic Description of the Intruder State in Doubly Even Nuclei Near Closed Shells. Chinese Physics C, 1991, 15(S1): 63-71.
[20]	Wu Chongshi , Zeng Jinyan . Nuclear Pairing Phase Transition. Chinese Physics C, 1988, 12(S1): 81-90.

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GUAN Xin, LI Hang, TAN Qi and PAN Feng. Nilsson mean-field plus the extended pairing model description of rare earth nuclei[J]. Chinese Physics C, 2011, 35(8): 747-752. doi: 10.1088/1674-1137/35/8/009

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Received: 2010-10-11
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

Nilsson mean-field plus the extended pairing model description of rare earth nuclei

Received Date: 2010-10-11
Accepted Date: 1900-01-01
Available Online: 2011-08-05

Abstract: The Nilsson mean-field plus the extended pairing model for well-deformed nuclei is applied to some representative rare earth examples. The binding energies, some low-lying pair-excited states and even-odd mass differences of Er, Yb and Hf isotopes are calculated systematically within the proton frozen-pair excitation limit. A comparison with experimental data for these nuclei shows that the results of the extended pairing model are better than those for the standard pairing model with the BCS approximation and the nearest-orbit pairing model.