Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation

Li Junqing

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> 1997, Vol. 21> Issue(9) : 818-824

Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation

Li Junqing ^,

Institute of Modern Physics,The Chinese Academy of Sciences,Lanzhouu 730000

Abstract
HTML
Reference
Related

PDF

Abstract：
The fact that. there are. more prolate-deformed nuclei than oblate-deformed ones in the nature is found to be related with the chaotic motion of nucleons. The primary. investigation with classical theory shows that the particle motion in the potential with oblate-plus -octupole deformation could become chaotic in the case of smaller deformation strength as compared with the case of prolate-plus-octupole deformation. The reason is that the negative curvature in the potential surface could appear in the case of smaller deformation strength for the former one rather than for the latter.

References

[1]

M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer, New York, 1990.[2]A. J. Lichtenberg, M. A. Lieberman, Regular and Stochastic Motion, Springer, New York, 1983.[3]Li Junqing, Huang Weiqi, Phys. Rev., C50(1990) 1632.[4]J. Blocki, J. J. shi, W. Z. Swiatecki,Nucl Phys., A554(1993)387.[5]W. D. Heiss, R G. Nazmitdiuov, S. Rady Phys. Rev. Lett., 72(1994)2351.[6]Li Junqing, Zhu Jieding, Gu Jinnan, Phys. Rev., B52(1995)6458.[7]G. A. Korn, T. M. Kom, Mathematical Handbook for Scientists and Engineers, MeGraw Hill, New York,1961, p508.[8]苗东升、刘华杰,混沌纵横论,中国人民大学出版社。

[1]	WU Gang , LU Hui-Hua . Motion of the Reference Particle in an Alpha Magnet. Chinese Physics C, 2006, 30(S1): 49-50.
[2]	JIN Hua , ZHENG Ren-Rong , ZHU Shun-Quan , LI Jun-Qing . Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation. Chinese Physics C, 2006, 30(2): 134-139.
[3]	LI Kang , WANG Jian-Hua . Green Function Solution to the Doublet Potential Equations of the Moving Dyons. Chinese Physics C, 2005, 29(8): 731-735.
[4]	ZHENG Ren-Rong , ZHU Shun-Quan , JIN Hua , LI Jun-Qing . Mechanism of Chaos Induced by the Periodic Driving Octupole Deformation. Chinese Physics C, 2004, 28(S1): 105-107.
[5]	LIU Fang , LI Jun-Qing , XING Yong-Zhong . Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System. Chinese Physics C, 2002, 26(9): 949-954.
[6]	LV Jian-Qin . Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map. Chinese Physics C, 2002, 26(4): 402-408.
[7]	ZHU ShengJiang , WANG MuGe , ZHU LingYan , LI Ming , GAN CuiYun , YANG LiMing , M Sakhaee , Pau Sanli , DENG JingKang , LONG GuiLu . Octupole Deformation in Neutron Rich ^145,147 La Nuclei. Chinese Physics C, 2000, 24(5): 418-425.
[8]	GUO JianYou , RUAN TuNan , XU FuXin . Collective Motion of a pure Octupole Deformed System. Chinese Physics C, 2000, 24(12): 1194-1198.
[9]	GAO Zao-Chun , CHEN Yong-Shou . Reflection Asymmetric Shell Model and Its Description of the Octupole Deformed Bands in Ra Isotopes. Chinese Physics C, 2000, 24(S1): 54-58.
[10]	LIU Fang , LI JunQing , LI XiGuo , LUO YiXiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (Ⅱ) Characteristics of Expectation Values and Uncertainty Measures of Canonical Variables in Space-Temporal Variation of Initial Coherent States. Chinese Physics C, 2000, 24(4): 331-336.
[11]	LI JunQing , LIU Fang , LI XiGuo , LUO YiXiao . Chaotic Motion of a Nucleon in Mean Field Potential with Octupole Deformation (Ⅲ) Study of Probability Density Distribution in Space-Temporal Variation of Initial Coherent States and the Strength of Disturbance. Chinese Physics C, 2000, 24(4): 337-341.
[12]	Xu Jinzhang , Wang Zixing , Chen Xignqu , Xing Zheng . Study of Nuclear Behavior in Axially-Symmetric Superdeformation and Triaxial Superdeformation. Chinese Physics C, 1999, 23(11): 1102-1107.
[13]	Liu Fang , Li Xiguo , Li Junqing , Luo Yixiao . Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential. Chinese Physics C, 1999, 23(11): 1108-1114.
[14]	Zhu Lingyan , Zhu Shengjiang , Li Ming . Octupole Deformation in Neutron-rich ^144,146Ce Nuclei. Chinese Physics C, 1998, 22(10): 885-890.
[15]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Deformed Nuclei. Chinese Physics C, 1995, 19(9): 834-839.
[16]	HAO San-Ru . A New Symmetric Transformation of the Static Axizlly Symmetric SDYM Fields. Chinese Physics C, 1993, 17(5): 412-416.
[17]	HAO San-Ru . The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(6): 538-543.
[18]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.
[19]	DI YAO-MIN . OCTUPOLE STATES IN THE SO(6) LIMIT. Chinese Physics C, 1982, 6(2): 208-218.
[20]	MA ZHONG-QI , DONG FANG-XIAO , ZHOU XIAN-JIAN , XUE PEI-YOU . CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE. Chinese Physics C, 1981, 5(2): 182-191.

Access

Get Citation

Li Junqing. Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation[J]. Chinese Physics C, 1997, 21(9): 818-824.

Li Junqing. Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation[J]. Chinese Physics C, 1997, 21(9): 818-824. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2525)
PDF Downloads(513)
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

Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation

Li Junqing ^,

Corresponding author: Li Junqing,

Institute of Modern Physics,The Chinese Academy of Sciences,Lanzhouu 730000

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-09-05

Abstract: The fact that. there are. more prolate-deformed nuclei than oblate-deformed ones in the nature is found to be related with the chaotic motion of nucleons. The primary. investigation with classical theory shows that the particle motion in the potential with oblate-plus -octupole deformation could become chaotic in the case of smaller deformation strength as compared with the case of prolate-plus-octupole deformation. The reason is that the negative curvature in the potential surface could appear in the case of smaller deformation strength for the former one rather than for the latter.