HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL

LU Lan-Chun; LIU Yong

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(1) : 42-48

HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL

LU Lan-Chun ^, ,
LIU Yong

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan

Abstract
HTML
Reference
Related

PDF

Abstract：
Considering that the IBM and IBFM cranking calculations in the lowest order of angular frequency can give reasonably good estimates for the moment of inertia,we extend them to study the dependence of the moment of inertia on the higher order terms.We find that the analytic expressions for the correction terms can be derived.Numerical calculations for ¹⁵⁴Gd and ¹⁶¹Er are performed and compared with experiment.The Hamiltonian is taken from a microscopic approach.Calculated results show that the properties of higher order terms depend on the deformation of rotating system but the correction yields only limited effect when ω is small.

References

[1]

H. Schaaser and D.M. Brink, Nucl. Phys., A452(1986), 1.[2] 刘庸、桑建平，高能物理与核物理，12(1988),644.[3] 刘庸、桑建平，高能物理与核物理，13(1989),346.[4] Yang Zesen, Liu Yong and Qi Hui, Nucl. Phys., A421 (1984), 297[5] A. Bohr and B, R. Mottelson, Nuclear Structure V o1.II W. A. Benjamin Inc., New York (1975).[6] 杨泽森、钟毓澎、齐辉，杨立铭，高能物理与核物理，2(1978),158.[7] J. N. Ginocchio and M.W. Kirson, Nucl. Phys., A350 (1980), 31;Phyt. Rev. Lett.,44(1980), 1744.[8] A. Bohr and B.R. Mottelson, Physica Scripta, 22(1980), 468; 25(1982), 28.[9] Arpita Mishra and A. N. Mantri,J.Phys. G. Nucl. Phys., 13 (1987) L275.

[1]	Anwer A . Correspondence between phenomenological and IBM-1 models of even isotopes of Yb. Chinese Physics C, 2015, 39(8): 084101. doi: 10.1088/1674-1137/39/8/084101
[2]	BAI Hong-Bo , ZHANG Jin-Fu , ZHOU Xian-Rong . Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM. Chinese Physics C, 2005, 29(8): 752-756.
[3]	LIU Yan-Xin , YU Shao-Ying . Effect on the Variation of the Moment of Inertia in Band K=1/2. Chinese Physics C, 2004, 28(S1): 34-35.
[4]	ZHOU Xian-Rong , GUO Lu , MENG Jie , ZHAO En-Guang . Spectral Statistics in Particles-Rotor Model and Cranking Model. Chinese Physics C, 2002, 26(11): 1125-1133.
[5]	HAN Yong . Angular Momentum Projection of Cranked PNC Wave Function. Chinese Physics C, 2000, 24(6): 546-553.
[6]	Zhu Zhiyuan . Identical Bands in Superdeformed Nuclei With the Cranked Relativistic Mean Field Method. Chinese Physics C, 1996, 20(5): 448-454.
[7]	Lin Xinwei , Liao Boqin , Zheng Renrong . A Study for Nuclei ¹⁶⁶Hf₉₄—¹⁷⁰Hf₉₈ Using Cranking Shell Model with PNC Method. Chinese Physics C, 1995, 19(4): 359-364.
[8]	Wang Huangsheng , Liao Jizhi . Applications of the O(6) Limit of IBM1 with Three-Body Potential to the Even-Even Platinum Nuclei. Chinese Physics C, 1994, 18(1): 91-96.
[9]	ZHAO Yu-Min , GU Jin-Nan . Effective Boson Numbers in IBM-Ⅱ. Chinese Physics C, 1992, 16(10): 950-953.
[10]	DENG Wei-Zhen , YANG Ze-Sen . Intrinsic Condensate Method for Microsopic IBM2 and Calculation of ¹⁶⁸Er Spectrum. Chinese Physics C, 1992, 16(3): 272-277.
[11]	ZHAO Xiao-Feng , LI Xian-Yin . Microscopic IBM-2 Description of the Phase Transition of Nuclear Spectra Near A=130. Chinese Physics C, 1991, 15(3): 240-244.
[12]	LI Guang-Hua , SUN Hong-Zhou , HAN Qi-Zhi , LI Xian-Yin . The Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1991, 15(8): 742-747.
[13]	Xi Jinhua , Sun Hongzhou . The Application of IBM and IBFM in the Rare Earth Region. Chinese Physics C, 1990, 14(S2): 201-209.
[14]	XI Jin-Hua , SUN Hong-Zhou . THE APPLICATION OF IBM AND IBFM IN RARE EARTH REGION. Chinese Physics C, 1990, 14(3): 258-265.
[15]	PENG Jian-Ping , WU Chong-Shi , ZENG Jin-Yan . ON THE VALIDITY OF THE CHFB METHOD FOR TREATING THE CSM HAMILTONIAN. Chinese Physics C, 1989, 13(4): 362-369.
[16]	LIN Chun-Zhen , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CARNKED SHELL MODEL WAVE FUNCTION (Ⅰ) EVEN-EVEN NUCLEI. Chinese Physics C, 1988, 12(5): 689-696.
[17]	LIN Xin-Wei , LIAO Bo-Qin , TANG Xiang-Hong , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CRANKED SHELL MODEL WAVE FUNCTION (Ⅱ) ODD-A NUCLEI. Chinese Physics C, 1988, 12(6): 807-813.
[18]	CHENG Tan-Sheng , WU Chong-Shi , ZENG Jin-Yan . PARTICLE-NUMBER-CONSERVING APPROACH FOR TREATING CRANKING HAMILTONIAN. Chinese Physics C, 1988, 12(4): 534-540.
[19]	LIAO Ji-Zhi . THE CORRECTION OF IBM SPECTRUM FOR CORE EFFECT. Chinese Physics C, 1986, 10(3): 374-379.
[20]	LING Yin-Sheng , GAO Shun-Fu . THE IBM EXPRESSIONS OF B(E2) FOR INTER REPRESENTATION TRASITIONS IN DEFORMED NUCLEI. Chinese Physics C, 1986, 10(5): 613-619.

Access

Get Citation

LU Lan-Chun and LIU Yong. HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL[J]. Chinese Physics C, 1990, 14(1): 42-48.

LU Lan-Chun and LIU Yong. HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL[J]. Chinese Physics C, 1990, 14(1): 42-48. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(8683)
PDF Downloads(534)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

HIGH-ORDER CRANKING CALCULATION IN THE INTERACTING BOSON MODEL AND INTERACTING BOSONFERMION MODEL

LU Lan-Chun ^,
LIU Yong

Corresponding author: LU Lan-Chun,

Institute of Particle Physics,Hua-Zhong Normal University,Wuhan

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-01-05

Abstract: Considering that the IBM and IBFM cranking calculations in the lowest order of angular frequency can give reasonably good estimates for the moment of inertia,we extend them to study the dependence of the moment of inertia on the higher order terms.We find that the analytic expressions for the correction terms can be derived.Numerical calculations for ¹⁵⁴Gd and ¹⁶¹Er are performed and compared with experiment.The Hamiltonian is taken from a microscopic approach.Calculated results show that the properties of higher order terms depend on the deformation of rotating system but the correction yields only limited effect when ω is small.