Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

Meng Jie; Zeng Jinyan; Zhao Enguang

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> 1994, Vol. 18> Issue(3) : 249-255

Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

Institute of Theoretical Physics, Chinese Academy of Science , Beijing 1000802 Department of Physics, Peking University, Beijing 100871

Abstract
HTML
Reference
Related

PDF

Abstract：
The exact treatment for the cranked single-j shell model Hamiltonian using the particle-number conserving method and the systematic analysis for the .pair transfer matrix element in rotating nuclei have been done. In contrast to the previous conclusion drawn from the usual Hatree-Fock-Bogoliubov(HFB) method or the number projected HFB treatment, for the pair transfer matrix element from the yrast band to yrast band, a smooth and slow variation with co is observed and no oscillation behavior occurs. But diabolic pair transfer is expected to occur in some higher excited bands.

References

[1]

R.S.Nikam,P.Ring and L.F.Canto,Z.Phys.,A324（1986）241.[2]K.S.Nikam,P.Ring and L.F.Canto,Phys.Lett.,185B（1987）269.[3]L.F.Canto,R.Donangelo,R.S.Nikam,P.Ring,Phys. Lett.,192B（1987）4.[4]K.S.Nikam and P.Ring,Phys.Rev.Lett.,58（1987）980.[5]K.S.Nikam,P.Riny,Y.SunandE.R.Marshalek,Phys.Lett,235B（1990）225.[6]Y.Sun.P.Ring and R.S.Nikam,Z.Phys,A339（1991）51.[7]N.Kowley:K.E.Pal and M.A.Nagarajan,Phys.Lett,201B（1988）187.[8]M.Hasegawa.S.Tazaki and K.Muramatsu,Phys.Lett.,226B（1989）1.[9]R.Bengtsson,I.Hamamoto and B.R.Mottelson,Phys.Lett.,73B（1978）259.[10]M.y.Berry.Proc.Roc.Soc,A392（1984）,45.[11]Y.Akaronov and J.Anandan,Phys.Rev.Lett,58（1987）1593.[12]R.Bengtsson and J.D.Garrett,INt.Rev.Nucl.Phys.,2（1934）193.[13]J.Y.Zeng,and T.S.Ckeng,Nucl.Phys,A405（1983）1.[14]L.F.Canto,P.Ring and J.O.Rasmussen,Phys.Lett.,161B（1985）21.[15]e.g.A.Goodman,Nucl.Phys.,A256（1976）113.[16]U.Mutz and P.Ring,J.Pkys,G10L39（1984）.[17]C.S.Wu and J.Y.Zeng,Phys.Rev.,C40（1989）998;ibidC41（1990）1822.[18]C.S.Wu and J.Y.Zeng,Phys.Rev.,Lett,66（1991）1022;Phys.Rev.,C44(1991)2556.[19]P. Ring and P. Schuck, The Nuclear Many-body Problem (Springer-Verlag. Heidelberg,1980).[20]B. Simon, Phys. Rev. Lett., 51 (1983)2167.

[1]	WU HuiFang , HUANG Tao . Half-Life and the Nuclear Matrix Element of the 2νββ Decay in ⁷⁶Ge. Chinese Physics C, 2000, 24(6): 589-592.
[2]	ZHANG ZhongCan , FANG ZhenYun , HU ChenGuO , SUN ShiJun . Berry Geometric Phase and Quantum Transition. Chinese Physics C, 2000, 24(12): 1106-1114.
[3]	Zhang Zhongcan , Fang Zhenyun , Hu Chenguo , Sun Shijun . The Extention of Berry's Theory on Geometric Phase. Chinese Physics C, 1999, 23(10): 980-991.
[4]	Cheng Lan , Huang Weizhi , Zhou Baosen . Validity of M-3Y Force Equivalent G-Matrix Elements for Calculations of the Nuclear Structure in Heavy Mass Region. Chinese Physics C, 1996, 20(3): 246-251.
[5]	Shen Yuelin , Ni Guangjiong . Berry's Connection and Wu-Yang's Monopole Potential. Chinese Physics C, 1995, 19(6): 500-507.
[6]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[7]	SUN Chang-Pu , PAN Lin , GE Mo-Lin . Effective topological action in Heisenberg spin model as Berry's phase. Chinese Physics C, 1992, 16(3): 202-207.
[8]	LIU Chun , XING Zhi-Zhong . Hadronic Matrix Elements in the Cornell Potential Model. Chinese Physics C, 1991, 15(11): 997-1000.
[9]	Sun Changpu . Topological Action Related to Berry's Phase and its Non-adiabatic Effects. Chinese Physics C, 1990, 14(S3): 265-273.
[10]	SUN Chang-Pu , ZHANG Lin-Zhi . BERRY'S PHASE FACTORS IN MOVING FRAMES OF REFERENCE AND THEIR OBSERVABLE EFFECTS. Chinese Physics C, 1990, 14(2): 136-144.
[11]	Sun Changpu , Zhang Linzhi . Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics. Chinese Physics C, 1990, 14(S1): 71-81.
[12]	GAO Xiao-Chun , XU Jing-Bo , QIAN Tie-Zheng , CHEN Cheng-Ming . THE MECHANICAL BERRY PHASE AND CORRESPONDING CLASSICAL TOPOLOGICAL PHASE ANGLE. Chinese Physics C, 1990, 14(8): 704-710.
[13]	SUN Chang-Pu . TOPOLOGICAL ACTION RELATIONG TO BERRY'S PHASE AND NON-ADIABATIC EFFECTS. Chinese Physics C, 1990, 14(8): 692-699.
[14]	Sun Changpu . Classical Model for Quantum Berry's Phase Factors. Chinese Physics C, 1989, 13(S1): 15-22.
[15]	SUN Chang-Pu . A CLASSICAL MODLE OF QUANTUM BERRY'S PHASE FACTOR. Chinese Physics C, 1989, 13(2): 109-115.
[16]	CHEN Qi-Zhou , LI Zhi-Bing , HE Bao-Peng , LUO Xiang-Qian , GUO Shuo-Hong . THE WEAK INTERACTION MATRIX ELEMENTS OF │ΔS│=2 ON LATTICE. Chinese Physics C, 1988, 12(4): 459-464.
[17]	SUN Chang-Pu . QUASI-ADIABATIC APPROXIMATION FOR THE SLOWLY-CHANGING QUANTUM PROCCESS AND BERRY PHASE FACTOR. Chinese Physics C, 1988, 12(3): 351-357.
[18]	Sun Changpu . Quasi-Adiabatic Approximation for Slowly-Changing Quantum System and Berry's Phase Factors. Chinese Physics C, 1988, 12(S3): 251-260.
[19]	FU De-Ji , GAN You-Ping . THE CALCULATION OF 2v ββ NUCLEAR MATRIX ELEMENT. Chinese Physics C, 1987, 11(4): 549-553.
[20]	ZHANG QING-YING . THE FORMULAS OF MATRIX ELEMENTS OF THE TWO-BODY SPIN-ORBIT INTERACTION. Chinese Physics C, 1979, 3(6): 658-664.

Access

Get Citation

Meng Jie, Zeng Jinyan and Zhao Enguang. Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei[J]. Chinese Physics C, 1994, 18(3): 249-255.

Meng Jie, Zeng Jinyan and Zhao Enguang. Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei[J]. Chinese Physics C, 1994, 18(3): 249-255. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2522)
PDF Downloads(576)
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

Berry Phase and Pair Transfer Matrix Element in Rotating Nuclei

Corresponding author: Meng Jie,

Institute of Theoretical Physics, Chinese Academy of Science , Beijing 1000802 Department of Physics, Peking University, Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-03-05

Abstract: The exact treatment for the cranked single-j shell model Hamiltonian using the particle-number conserving method and the systematic analysis for the .pair transfer matrix element in rotating nuclei have been done. In contrast to the previous conclusion drawn from the usual Hatree-Fock-Bogoliubov(HFB) method or the number projected HFB treatment, for the pair transfer matrix element from the yrast band to yrast band, a smooth and slow variation with co is observed and no oscillation behavior occurs. But diabolic pair transfer is expected to occur in some higher excited bands.