Dynamical origin of the quantum chaotic motion of a single particle in the two-center shell model
Jian-zhong Gu1,2,3 - Yi-zhong Zhuo2,4 - En-guang Zhao2,3 - Xi-zhen Wu4 - Hong-shi Zong2,3
1 CCAST ( World Lab.), P. O. Box 8730, Beijing, 100080, P. R. China
2 Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing, 100080, P. R.
Chinae-mail: gujz@itp.ac.cn
3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator,
Lanzhou, 730000, P. R. China
4 China Institute of Atomic Energy, P. O. Box 275(18), Beijing, 102413, P. R. China
Received: 27 April 1998 / Revised version: 20 July 1998 Communicated by P. Schuck
Abstract
For the single-particle potential surface of the two-center shell model, two
geometrical quantities which determine the local Liapunov exponents are derived. It is
shown that the appearance of a large positive local Liapunov exponent in a large area of
the coordinate space leads to the quantum chaotic motion of a single particle in heavy
nuclei. For both small and large (or medium) separations of the two centers, the
dependence of the quantum chaotic motion on the neck deformation is interpreted from the
dynamical point of view.
PACS
05.45.+b Theory and models of chaotic systems -
21.60.Cs Shell model -
03.20.+i Classical mechanics of discrete systems: general mathematical aspects -
11.10.Lm Nonlinear or nonlocal theories and models -
11.30.Na Nonlinear and dynamical symmetries
Copyright Springer-Verlag
