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NUCLEAR COLLECTIVE MOTION
Models and Theory
by David J Rowe (University of Toronto, Canada)
250pp (approx.)
978-981-279-065-1(pbk): US$42 / £28 US$31.50
/ £21
978-981-279-064-4: US$69 / £46 US$51.75
/ £34.50
The two most important developments in nuclear physics were
the shell model and the collective model. The former gives the formal
framework for a description of nuclei in terms of interacting neutrons
and protons. The latter provides a very physical but phenomenological
framework for interpreting the observed properties of nuclei. A third
approach, based on variational and mean-field methods, brings these two
perspectives together in terms of the so-called unified models.
Together, these three approaches provide the foundations on which
nuclear physics is based. They need to be understood by everyone
practicing or teaching nuclear physics, and all those who wish to gain
an understanding of the foundations of the models and their
relationships to microscopic theory as given by recent developments in
terms of dynamical symmetries.
This book provides a simple presentation of the models and
theory of nuclear collective structure, with an emphasis on the
physical content and the ways they are used to interpret data. Part 1
presents the basic phenomenological collective vibrational and
rotational models as introduced by Bohr and Mottelson and their many
colleagues. It also describes the extensions of these models to
parallel unified models in which neutrons and protons move in a
mean-field with collective degrees of freedom. Part 2 presents the
predominant theories used to describe the collective properties of
nuclei in terms of interacting nucleons. These theories, which are
shared with other many-body systems, are shown to emerge naturally from
the unified models of Part 1.
Contents:
- Phenomenological Models:
- General Trends and Coupling Schemes
- The Collective Vibrational Model
- The Unified Model for Vibrations
- The Vibrating Potential Model
- The Collective Rotational Model
- The Unified Model for Rotations
- Microscopic Theories:
- Hartree-Fock Self-Consistent Field Theory:
Spherical Nuclei
- Hartree-Fock Self-Consistent Field Theory:
Deformed Nuclei
- The Tamm-Dancoff Approximation or Simple
Particle-Hole Theory
- An Equations-of-Motion Method
- The Random Phase Approximation or
Sophisticated Particle-Hole Theory
- Time-Dependent Hartree-Fock (TDHF) Theory
- The Microscopic Foundations of the Unified
Vibrational Model
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