Random matrices and chaos in nuclear physics: Nuclear structure

Random Matrices and Chaos in Nuclear Physics Part 1: Nuclear Structure

The authors review the evidence for the applicability of random–matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random–matrix predictions are fulfilled. An introduction into the basic concepts of random–matrix theory is followed by a survey over the extant experimental information on spe...

Random Matrices and Chaos in Nuclear Spectra

We speak of chaos in quantum systems if the statistical properties of the eigenvalue spectrum coincide with predictions of random–matrix theory. Chaos is a typical feature of atomic nuclei and other self–bound Fermi systems. How can the existence of chaos be reconciled with the known dynamical features of spherical nuclei? Such nuclei are described by the shell model (a mean–field theory) plus ...

Nuclear Structure, Random Interactions and Mesoscopic Physics

Standard concepts of nuclear physics explaining the systematics of ground state spins in nuclei by the presence of specific coherent terms in the nucleon-nucleon interaction were put in doubt by the observation that these systematics can be reproduced with high probability by randomly chosen rotationally invariant interactions. We review the recent development in this area, along with new origi...

Lecture Notes in Nuclear Structure Physics

Self-consistent Methods in Nuclear Structure Physics

Self-consistent methods have been used in the low-energy nuclear structure studies over many years, and represent a mature field with numerous successful applications. A number of computer codes solving the nuclear Hartree-Fock (HF) problem have already been developed. Two types of effective nucleon-nucleon interactions have been mainly employed. Starting with the work of Vautherin and Brink 6 ...