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

Zhou Shangui; Zheng Chunkai; Hu Jikmin

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

Abstract
HTML
Reference
Related

PDF

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

[1]	Rong An , Lisheng Geng , Shisheng Zhang , Lang Liu . Particle number conserving BCS approach in the relativistic mean field model and its application to ^32-74Ca. Chinese Physics C, 2018, 42(11): 114101. doi: 10.1088/1674-1137/42/11/114101
[2]	CAO Li-Gang . Superfluid nuclear matter in BCS theory and beyond. Chinese Physics C, 2009, 33(S1): 33-36. doi: 10.1088/1674-1137/33/S1/011
[3]	LIU Shu-Xin , LEI Yi-An , ZENG Jin-Yan . Large Fluctuation in Odd-Even Differences and Nonadditivity of Nuclear Moments of Inertia. Chinese Physics C, 2006, 30(S2): 39-41.
[4]	YU Lei , LIU Shu-Xin , ZENG Jin-Yan . Microscopic Mechanism of Moments of Inertia and Odd-even Differences for Well-Deformed Actinide Nuclei. Chinese Physics C, 2004, 28(1): 56-60.
[5]	S.B.Doma . Single Particle Schr dinger Fluid and Moments of Inertia of Deformed Nuclei. Chinese Physics C, 2002, 26(8): 836-842.
[6]	LI Wen-Fei , ZHANG Feng-Shou , CHEN Lie-Wen . On the Moment of Inertia and Surface Redshift of Neutron Star. Chinese Physics C, 2001, 25(10): 1006-1011.
[7]	YU Lei , LIU Shu-Xin , LEI Yi-An , ZENG Jin-Yan . Microscopic Mechanism of the ω Variation in Moments of Inertia for the Series of Yrast SD Bands ^192—198Pb(1) and ¹⁹⁸Po(1). Chinese Physics C, 2001, 25(2): 129-133.
[8]	GUO Jian-You , XU Fu-Xin , RUAN Tu-Nan . Odd-Even Difference of Moment of Inertia of NuclearSuperdeformed States in A～190 Region. Chinese Physics C, 2001, 25(8): 754-758.
[9]	FANG XiangZheng , RUAN TuNan . Description of Superdeformed Bands in ¹⁴⁸Gd in q-deformed Moment of Inertia. Chinese Physics C, 2000, 24(3): 269-274.
[10]	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.
[11]	Di Yaomin . Three-Body Heritage Mixing Interaction and the Variance of Nuclear Moment of Inertia. Chinese Physics C, 1995, 19(6): 554-561.
[12]	Jin Taihao , Zhao Zhengji , Zeng Jinyan . Particle-Number Conserving Calculation of the Bandhead Moments of Inertia of Identical SD Bands. Chinese Physics C, 1994, 18(3): 239-248.
[13]	ZHAO Zheng-Ji , JIN Tai-Hao . Microscopic Mechanism of the Variation of the Ground Band Moments of Inertia with Neutron Numbers in ^166—176Yb. Chinese Physics C, 1992, 16(8): 754-761.
[14]	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.
[15]	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.
[16]	LIU Yong , SANG Jian-Ping . THE MOMENT OF INERTIA IN THE INTERACTING BOSON-FERMION MODEL. Chinese Physics C, 1988, 12(5): 644-651.
[17]	LIU Guo-Xing . EFFECTIVE MOMENT OF INERTIA OF MEDIUM MASS NUCLEI AT THE SADDLE POINT. Chinese Physics C, 1987, 11(1): 98-103.
[18]	WU Chong-Shi , ZENG Jin-Yan . THE COLLECTIVE EXCITATION SPECTRA OF EVEN-EVEM DEFORMED NUCLEI. Chinese Physics C, 1985, 9(2): 214-219.
[19]	WANG ZHENG-DA , ZHENG MAN-JIAO . A SIMPLE METHOD OF CALCULATING MOMENT OF INERTIA AT GROUND STATES OF EVEN-EVEN NUCLEI. Chinese Physics C, 1981, 5(6): 765-768.
[20]	ZENG JIN-YAN . THE MOMENTS OF INERTIA OF MULTI-QUASI-PARTICLE EXCITATION BANDS AND THE BLOCKING EFFECT. Chinese Physics C, 1979, 3(1): 102-107.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1997-12-22
Revised: 1900-01-01

Article Metric

Article Views(3002)
PDF Downloads(574)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.