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

Li Junqing

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

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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

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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。

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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

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

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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.