Odd-Even Differences in Moments of Inertia of Rare Earth Nuclei from the BCS Theory

Zhou Shangui; Zheng Chunkai; Hu Jikmin

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2024年10月30日

Chinese Physics C> 1998, Vol. 22> Issue(12) : 1143-1150

Odd-Even Differences in Moments of Inertia of Rare Earth Nuclei from the BCS Theory

Department of Technical Physics and Institute of Heavy Ion Physics, Peking University, Beijing 100871

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Abstract：
BCS theory is used to calculate the moments of inertia (Mol) of odd-A and even-even rare-earth nuclei. It is found that the large fluctuations of the odd-even differences in MoI can be repreduced through the BCS calculations, although the MoI values calculated both for odd-A and even-even nuclei are systematically smaller then the experimental data. Contrary to the common assertion that the MoI value of odd-A nuclei are some 15% larger than that of the neighboring even-even nuclei in the BCS theory, our results confirm the conclusions made by Gregory Volkov over two decades ago. It seems helpful to understand the appearance of normally deformed identical bands in an odd-A nucleus and its evenreven neighbors Under the mean-field (BCS) approximation.

References

[1]

Belyaev S T. Mat.Fys. Meddk. K.Dan.Vidensk. Selsk.,1959, 31(1):1—26[2] Bohr A, Mottelson B R.Nuclear Structue(Ⅱ).New York: Benjamin. 1975, 310—318[3] Baktash C,Garrett J D.Winchell D F et al.Phys.Rev.Lett.,1992,69:1500─1504 [4] Zeng J Y. Lei Y A.Jin T H et al. Phys.Rev.,1994, C50:746—756 [5] Sun Y. Wu C L.Feng D H et al. Phys.Rev., 1992, C53:2227—2230[6] Molique H.Dudek J. Phys.Rev.,1997, C56:1795—1813[7] Gregory P R, Taylor T. Phys.Lett., 1972, 41B: 122─124 [8] Volkov A B Phys.Lett.,1972, 41B:1—3 [9] Misson S G et al. Nucl.Phys,1969, A131: 1─66 [10] Bengtsson R.Frauendorf R.May F R. At.Data Nucl.Data Tables, 1986, 35:15—132 [11] Inglis D K Phys.Rev.1954, C96:1059—1065[12] Jain A K, Sheline R K. Sood P C et al. Rev Mod.Phys.,1990, 62:393─509[13] Dudek J, Majhofer A,Skalski J J.Phys. G. Nucl.Phya.,1980, 6:447—454

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[15]	CHEN Xin-Yi , HU Ji-Min . CALCULATION OF THE EFFECTIVE MOMENT OF INERTIA OF FISSIONING NUCLEI AT SADDLE POINT. Chinese Physics C, 1989, 13(4): 380-383.
[16]	ZHANG Jing-Ye , ZHONG Ji-Quan , LIAO Bi-Cheng . ON THE EDFORMATION OF THE EVEN-EVEN RARE-EARTH NUCLEI. Chinese Physics C, 1988, 12(5): 665-668.
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Zhou Shangui, Zheng Chunkai and Hu Jikmin. Odd-Even Differences in Moments of Inertia of Rare Earth Nuclei from the BCS Theory[J]. Chinese Physics C, 1998, 22(12): 1143-1150.

Zhou Shangui, Zheng Chunkai and Hu Jikmin. Odd-Even Differences in Moments of Inertia of Rare Earth Nuclei from the BCS Theory[J]. Chinese Physics C, 1998, 22(12): 1143-1150. shu

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Received: 1997-12-22
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

Odd-Even Differences in Moments of Inertia of Rare Earth Nuclei from the BCS Theory

Corresponding author: Zhou Shangui,

Department of Technical Physics and Institute of Heavy Ion Physics, Peking University, Beijing 100871

Received Date: 1997-12-22
Accepted Date: 1900-01-01
Available Online: 1998-12-05

Abstract: BCS theory is used to calculate the moments of inertia (Mol) of odd-A and even-even rare-earth nuclei. It is found that the large fluctuations of the odd-even differences in MoI can be repreduced through the BCS calculations, although the MoI values calculated both for odd-A and even-even nuclei are systematically smaller then the experimental data. Contrary to the common assertion that the MoI value of odd-A nuclei are some 15% larger than that of the neighboring even-even nuclei in the BCS theory, our results confirm the conclusions made by Gregory Volkov over two decades ago. It seems helpful to understand the appearance of normally deformed identical bands in an odd-A nucleus and its evenreven neighbors Under the mean-field (BCS) approximation.