Regular and chaotic dynamics in time-dependent relativistic mean-field theory

Details Regular and chaotic dynamics in time-dependent relativistic mean-field theory Regular and chaotic dynamics in time-dependent relativistic mean-field theory

1997-09-06

arxiv.org/abs/nucl-th/9709011v2

Physics

Nuclear Physics

Nuclear Theory

21 pages, LATEX, 9 p.s figures, to appear in Phys.Rev.E

Scientific paper

10.1103/PhysRevE.56.6418

Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field theory. Time-dependent and self-consistent calculations that reproduce experimental data on monopole resonances in 208Pb, show that the motion of the collective coordinate is regular for isoscalar oscillations, and that it becomes chaotic when initial conditions correspond to the isovector mode. Regular collective dynamics coexists with chaotic oscillations on the microscopic level. Time histories, Fourier spectra, state-space plots, Poincare sections, autocorrelation functions, and Lyapunov exponents are used to characterize the nonlinear system and to identify chaotic oscillations. Analogous considerations apply to higher multipolarities.

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