50 v 1 2 4 O ct 1 99 5 Quantum chaos in A = 46 – 50 atomic nuclei

n uc l - th / 9 51 00 27 v 1 1 5 O ct 1 99 5 Chaos and Quantum Chaos in Nuclear Systems 1

The presence of chaos and quantum chaos is shown in two different nuclear systems. We analyze the chaotic behaviour of the classical SU(2) Yang–Mills– Higgs system, and then we study quantum chaos in the nuclear shell model calculating the spectral statistics of A = 46–50 atomic nuclei.

- th / 9 51 00 12 v 1 6 O ct 1 99 5 Quantum Chaos in Vibrational Nuclei : the Green Function Approach

We show that the collective vibrational model of atomic nuclei displays quantum chaos. To avoid the problems related to the tunneling effects, a Green function deterministic numerical method has been used to evaluate the energy levels.

l - th / 9 50 40 14 v 1 1 1 A pr 1 99 5 Order and Chaos in Roto – Vibrational States of Atomic Nuclei

Using a classical analytical criterion (that of curvature) and numerical results (Poincarè sections and spectral statistics), a transition order–chaos– order in the roto–vibrational model of atomic nuclei has been shown. Numerical calculations were performed for some deformed nuclei.

ar X iv : n uc l - th / 9 70 70 34 v 1 2 1 Ju l 1 99 7 Quantum Transition from Order to Chaos in the Nuclear Shell Model

We discuss the role of quantum chaos in atomic nuclei. After reviewing the basic assumptions of the nuclear shell model, we analyze the spectral statistics of the energy levels obtained with realistic shell–model calculations in the f p shell. In particular, for Ca isotopes we observe a transition from order to chaos by increasing the excitation energy and a clear quantum signature of the break...

v 1 2 9 O ct 1 99 5 Rare - Earth Nuclei : Radii , Isotope - Shifts and Deformation Properties in the Relativistic Mean Field Theory