Classically dynamical behaviour of a nucleon in heavy nuclei
Jian-zhong Gu1,2 - En-guang Zhao2 - Yi-zhong Zhuo2,3 - Xi-zhen Wu3 - Hong-shi Zong2
1 CCAST ( World Lab.), P. O. Box 8730, Beijing, 100080, P. R. China (e-mail: gujz@itp.ac.cn)
2 Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing, 100080, P. R.
China
3 China Institute of Atomic Energy, P. O. Box 275(18), Beijing, 102413, P. R. China
Reiceved: 10 November 1997 / Revised version: 27 January 1998 Communicated by W. Weise
Abstract
Within the framework of the two-center shell model the classically dynamical behaviour of a
nucleon in heavy nuclei is investigated systematically with the change of nuclear shape parameters
for the first time. It is found that as long as the nucleonic energy is appreciably higher than the
height of the potential barrier there is a good quantum-classical correspondence of nucleonic
regular (chaotic) motion. Thus, Bohigas, Giannoni and Schmit conjecture is confirmed once again.
We find that the difference between the potential barrier for prolate nuclei and that for oblate ones
is reponsible for the energy-dependence difference between the nucleonic chaotic dynamics for
prolate nuclei and that for oblate ones. In addition, it is suggested that nuclear dissipation is
shape-dependent, and strong nuclear dissipation can be expected for medium or large separations in
the presence of a considerable neck deformation built on a pronounced octupole-like deformation,
which provides us a dynamical understanding of nuclear shape dependence of nuclear dissipation.
PACS
05.45.+b Theory and models of chaotic systems -
21.60.Cs Shell model -
03.20.+i Classical mechanics of discreta systems: general mathematical aspects -
11.10.Lm Nonlinear or nonlocal theories and models
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