© 2009

Symmetries in Atomic Nuclei

From Isospin to Supersymmetry

  • Provides the first extensive presentation of nuclear supersymmetry ideas and experiments in the literature, including recent research

  • Discusses both the main theoretical ideas and models and the experimental methods that verify them

  • Symmetry methods in nuclear physics are presented in a unified and pedagogical manner


Part of the Springer Tracts in Modern Physics book series (STMP, volume 230)

Table of contents

  1. Front Matter
    Pages I-XII
  2. A. Frank, P. Van Isacker, J. Jolie
    Pages 1-27
  3. A. Frank, P. Van Isacker, J. Jolie
    Pages 29-78
  4. A. Frank, P. Van Isacker, J. Jolie
    Pages 79-104
  5. A. Frank, P. Van Isacker, J. Jolie
    Pages 105-121
  6. A. Frank, P. Van Isacker, J. Jolie
    Pages 133-153
  7. A. Frank, P. Van Isacker, J. Jolie
    Pages 155-170
  8. A. Frank, P. Van Isacker, J. Jolie
    Pages 171-172
  9. Back Matter
    Pages 173-185

About this book


Symmetries in Atomic Nuclei aims to present an overview of recent applications of symmetry to the description of atomic nuclei. Special care is given to a pedagogical introduction of symmetry concepts using simple examples. After a historical overview of the applications of symmetry in nuclear physics, progress in the field during the last decade is reviewed. Special emphasis is put on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei.
Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. Case studies show how these symmetries are displayed by real atomic nuclei which have been studied experimentally using state-of-the art spectroscopy.

Symmetries in Atomic Nuclei focuses on nuclear structure physics and has been written by active investigators in the field, but its scope is wider and is intended for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics.


Bose-Fermi symmetr Bose-Fermi symmetries Boson Dynamical symmetry breaking Isospin Neutron Quantal Many-Body Systems Supersymmetry Neutrons Protons Supersymmetry quantum mechanics Symmetry Nuclear Physics hoyingf mixed-symmetry states strings and superstrings supersymmetry examples two-nucleon transfer reactions

Authors and affiliations

  1. 1.University of MexicoMexico
  2. 2.GANILFrance
  3. 3.University zu KölnGermany

About the authors

The authors have for decades worked on the applications of symmetries in nuclear, molecular, and other areas of physics. They were actively involved in the theoretical introduction of supersymmetry in nuclear physics.

Jan Jolie became an experimental physicist and subsequently performed several crucial experiments to test the applications of supersymmetry in atomic nuclei. For this work he was awarded the Leigh-Page Prize 2000 by Yale University.

Alejandro Frank is a Fellow of the American Physical Society and has received several distinctions including a Guggenheim Fellowship.

Piet Van Isacker is a member of the Mexican Academy of Science and has written two previous books on the application of symmetry methods to nuclear physics.

Bibliographic information


"The subject of this book, symmetries in physical systems, with particular focus on atomic nuclei, is of the utmost importance in modern physical science. In contrast to most treatments, frequently characterized by fearsome formalism, this book leads the reader step-by-step, in an easily understandable way, through this fascinating field. The volume starts from a beautiful and simple introduction to symmetry in the first chapter, stressing the deep relations between symmetry, degeneracies, quantum numbers, and selection rules, and systematically proceeds through the dynamical symmetries of the Interacting Boson Model, quantum phase transitions, a very nice discussion of partial dynamical symmetries (a topic of growing importance), intruder states, mixed symmetry states, bose-fermi models and, finally, to nuclear supersymmetry (different from the fundamental supersymmetry of particle physics). Throughout, the discussion makes frequent and detailed relation to real data in atomic nuclei where many of these concepts have received their most thorough vetting. Owing to the elegant pedagogical approach, this book is remarkably accessible to both theorists and experimentalists. Indeed, I view it as essential reading for experimental nuclear structure physicists. This is one of the finest volumes on this subject I have ever encountered."

Prof. R.F. Casten, Yale University