Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei

Hu Jimin; Xu Furong; Zheng Chunkai

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> 1996, Vol. 20> Issue(1) : 76-84

Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei

Department of Technical Physics,Peking University,Beijing 100871

Abstract
HTML
Reference
Related

PDF

Abstract：
Starting from cranking shell model,a collective vibrational and rotational Hamiltonian(cranking Bohr-Mottelson Hamiltonian CBMH)is derived,in which the rotational frequency is not quantized.Introducing a reasonable collective potential,the formula for the rotational spectrum can be obtained.The formula is applied to analyze the rotational bands of even-even nuclei with satisfactory results.

References

[1]

A.Arima,F.Iachello,Ann.Phys.（N Y）,115（1978）325.[2] A.E.L.Dieperik,Prog.Part.Nucl.Phys,9（1983）121[3] K.Kumar,M.Baranger,Nucl.Phys,A110（1968）529.[4] K.Kumar,Nucl Phys,A231（1974）189.[5] J.B.Gupta,K.Kumar,J.H.Hamilton,Phys.Rev,C16（1977）427[6] K.Kumar,J.B.Gupta,Nucl.Phys.,A304（197）295.[7] C.S.Wu,J.Y.Zeng,Commun.Theor.Phys,8（1987）51.[8] H.X.Huang,C.S.Wu,J.Y.Zeng,Phys.Rev,C39（1989）1617.[9] S.M.Harris,Phys Rev.Lett,13（1964）663.[10] A.Bohrand,B.R.Mottelson,Nuclear Structure（Bemamin,Newyork,1965）,Vol.Ⅱ，p.22-36.[11]胡济民、杨伯君、郑春开，原子核理论（第一卷）,原子能出版社，1993修订版p.116-118[12]徐躬耦、杨亚天，原子核理论（核结构与核衰变部分）,高等教育出版社，1989p.286-297.[13] P.Ring,P.Schuck,The Nuclear Many-Body Problem（Spring-Verlay,Berlin,1980）p.271-279[14] S.Raman,C.H.Malarkey,W.T.Milner,et al.,At Data Nucl.Data Tables,36（1987）1.[15] Y.A.Ellis-Akovali,Nucl.Data sheets,40（1983）523[16] M.R.Schmorak,Nucl.Data Sheets,63（1991）139.[17] D.J.Horen,B.Harmatz,Nucl.Data Sheets,19（1976）383.[18] E.N.Shurshikov,Nucl.Data Sheets,47（1986）433.

[1]	HUANG Chun-Qing , LI Yong-Yao , LUO Xiang-Qian . An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian. Chinese Physics C, 2005, 29(7): 717-720.
[2]	BAI Hong-Bo , ZHANG Jin-Fu , LI Yan-Song , ZHOU Xian-Rong , LIU Feng-Ying . E0 Transition as Another Indicator for Nuclear Shape Transitions and an Application to ^102—110Pd. Chinese Physics C, 2004, 28(3): 280-283.
[3]	JIANG JunQin , LI JieMing . Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[4]	HUANG ChunQing , JIANG JunQin , LUO XiangQian . Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'. Chinese Physics C, 2000, 24(6): 478-483.
[5]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[6]	Xu Furong , Hu Jimin , Zheng Chunkai . The Vibrational and Rotational Motions Model of Nucleus(Ⅲ) Study of Superdeformed Bands in A～190 Region. Chinese Physics C, 1996, 20(6): 554-562.
[7]	Zhang Xinming , Zhou Huanqiang . Theoretical Analysis of an U_qp(u₂) Model for Ground-State Bands in Even-Even Nuclei. Chinese Physics C, 1996, 20(2): 165-174.
[8]	Hu Jimin , Xu Furong , Zheng Chunkai . Vibrational and Rotational Motions Model of Nucleus (Ⅱ) Analyses of Normal Bands of Odd A Nuclei. Chinese Physics C, 1996, 20(3): 259-264.
[9]	Wang Qun , Xie Qubing . Effective Hamiltonian for Process e⁺e^－→m(qq)+ng. Chinese Physics C, 1995, 19(9): 791-795.
[10]	DI Yao-Min , HA Yi-Ming , FU De-Ji . The Effective Hamiltonian With Continuous Variables Representation in IBM-Ⅱ. Chinese Physics C, 1992, 16(9): 849-856.
[11]	XING Zheng , CHEN Xing-Qu . Phenomenological Analysis of Superdeformed Bands in Even-Even Nuclei. Chinese Physics C, 1991, 15(11): 1020-1024.
[12]	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.
[13]	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.
[14]	MA Zhong-Qi , DAI An-Ying . ON THE HERMITIAN OF THE HAMILTONIAN OF RADIAL EQUATION. Chinese Physics C, 1988, 12(1): 42-49.
[15]	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.
[16]	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.
[17]	ZHANG Yue-Zhong . ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT. Chinese Physics C, 1986, 10(1): 15-23.
[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]	WU Chong-Shi , ZENG Jin-Yan . THE COLLECTIVE EXCITATION SPECTRA IN EVEN-EVEN DEFORMED NUCLEI Ⅱ. ANALYSIS OF THE GROUND BAND. Chinese Physics C, 1984, 8(4): 445-452.
[20]	XU Gong-Ou , YANG Ya-Tian , GU Jin-Nan . COMPARISON BETWEEN THE BOHR-MOTTELSON MODEL AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1984, 8(3): 352-360.

Access

Get Citation

Hu Jimin, Xu Furong and Zheng Chunkai. Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei[J]. Chinese Physics C, 1996, 20(1): 76-84.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3852)
PDF Downloads(549)
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

Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei

Corresponding author: Hu Jimin,

Department of Technical Physics,Peking University,Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1996-01-05

Abstract: Starting from cranking shell model,a collective vibrational and rotational Hamiltonian(cranking Bohr-Mottelson Hamiltonian CBMH)is derived,in which the rotational frequency is not quantized.Introducing a reasonable collective potential,the formula for the rotational spectrum can be obtained.The formula is applied to analyze the rotational bands of even-even nuclei with satisfactory results.