Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation

JIN Hua; ZHENG Ren-Rong; ZHU Shun-Quan; LI Jun-Qing

Chinese Physics C> 2006, Vol. 30> Issue(2) : 134-139

Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation

Department of Physics, Shanghai Normal University, Shanghai 200234, China2 Department of Arts and Science, Shanghai Dianji University, Shanghai 200240, China3 Department of Computer and Electric Technology, Shanghai Business School, Shanghai 201400, China4 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

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Abstract：
The single particle's chaotic motion in the potential of a prolate harmonic oscillator plus Y₃₂+Y_3－2 non-axial octupole deformation was systematically analyzed from the classical and quantum-mechanical viewpoint. The classical trajectory stability analysis showed that the characteristics of the potential surface would be important for the particle's motion. By investigating the phenomena of avoided level crossing in the system and the evolution of the coherent initial state, it is found that the non-axial feature of octupole deformation potential can make the single particle to go to chaos easier.

References

[1]

. GU Jian-Zhong, WU Xi-Zhen et al. Nucl. Phys., 1997,A625: 621ZHOU X R et al. High Energy Phys. and Nucl. Phys., 2002,26: 1125(in Chinese)(周先荣等.高能物理与核物理,2002, 26: 1125)2. LI Junq-Qing, HUANG Wei-Qi. Phys. Rev., 1994, C50(3):16323. Heiss W D, Nazmitdinov R G et al. Phys. Rev. Lett., 1994,72(15): 23514. Heiss W D, Nazmitdinov R G et al. Phys. Rev., 1995,B51(3): 18745. LI Jun-Qing. Phys. Rev. Lett., 1997, 79(12): 23876. LI Jun-Qing. High Energy Phys. and Nucl. Phys., 1997,21(9): 818(in Chinese)(李君清.高能物理与核物理,1997, 21(9): 818)7. Heiss W D, Lynch R A et al. Phys. Rev., 1999, C60(3):0343038. LI Jun-Qing, ZHU Jie-Ding et al. Phys. Rev., 1995,B52(9): 64649. Wolf A et al. Physica, 1985, D16: 31010. LIU Fang, LI Xi-Guo et al. High Energy Phys. and Nucl.Phys., 1999, 23(11): 1108(in Chinese)李希国等.高能物理与核物理,1999, 23(11): 1108)11. GU Yan. Quantum Chaos. Shanghai: Shanghai Scienti cand Technological Education Publishing House, 1996(in Chinese)(顾雁.量子伞昆沌.上海:上海科技教育出版社,1996)12. LIU Fang, LI Jun-Qing et al. High Energy Phys. and Nucl.Phys., 2000, 24(4): 331(in chinese)(刘芳,李君清等.高能物理与核物理,2000, 24(4): 331)13. Blaizot Jean-Paul. Quantum Theory of Finite Systems.Massachusetts Institute of Technology, 198614. LIU Fang, LI Jun-Qing et al. High Energy Phys. and Nucl.Phys., 2002, 26(6): 607(in Chinese)(刘芳,李君清等.高能物理与核物理,2002, 26(6): 607)

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[3]	LV Jian-Qin . Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map. Chinese Physics C, 2002, 26(4): 402-408.
[4]	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.
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[7]	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.
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[9]	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.
[10]	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.
[11]	Zhu Lingyan , Zhu Shengjiang , Li Ming . Octupole Deformation in Neutron-rich ^144,146Ce Nuclei. Chinese Physics C, 1998, 22(10): 885-890.
[12]	Li Junqing . Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(9): 818-824.
[13]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Deformed Nuclei. Chinese Physics C, 1995, 19(9): 834-839.
[14]	HAO San-Ru . A New Symmetric Transformation of the Static Axizlly Symmetric SDYM Fields. Chinese Physics C, 1993, 17(5): 412-416.
[15]	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.
[16]	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.
[17]	LIU Ji-Feng , WU Pei-Yun , SHEN Jian-Ping , LI Guang-Lie . The η-N Interaction Potential and the Potential Well Depth of η-meson in Nuclear Matter. Chinese Physics C, 1991, 15(3): 224-233.
[18]	LI Guang-Lie , SHEN Jian-Ping . A Λ-N S WAVE SEPARATION POTENTIAL AND ITS Λ WELL DEPTH IN NUCLEAR MATTER. Chinese Physics C, 1985, 9(4): 442-446.
[19]	DI YAO-MIN . OCTUPOLE STATES IN THE SO(6) LIMIT. Chinese Physics C, 1982, 6(2): 208-218.
[20]	HOU BO-YU , HOU BO-YUAN . ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE. Chinese Physics C, 1979, 3(6): 697-707.

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JIN Hua, ZHENG Ren-Rong, ZHU Shun-Quan and LI Jun-Qing. Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation[J]. Chinese Physics C, 2006, 30(2): 134-139.

JIN Hua, ZHENG Ren-Rong, ZHU Shun-Quan and LI Jun-Qing. Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation[J]. Chinese Physics C, 2006, 30(2): 134-139. shu

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Received: 2005-05-08
Revised: 2005-10-27

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation

Corresponding author: ZHENG Ren-Rong,

Department of Physics, Shanghai Normal University, Shanghai 200234, China2 Department of Arts and Science, Shanghai Dianji University, Shanghai 200240, China3 Department of Computer and Electric Technology, Shanghai Business School, Shanghai 201400, China4 Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China

Received Date: 2005-05-08

Accepted Date: 2005-10-27

Available Online: 2006-02-05

Abstract: The single particle's chaotic motion in the potential of a prolate harmonic oscillator plus Y₃₂+Y_3－2 non-axial octupole deformation was systematically analyzed from the classical and quantum-mechanical viewpoint. The classical trajectory stability analysis showed that the characteristics of the potential surface would be important for the particle's motion. By investigating the phenomena of avoided level crossing in the system and the evolution of the coherent initial state, it is found that the non-axial feature of octupole deformation potential can make the single particle to go to chaos easier.

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Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation

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