Mean Field Description Of Nuclei

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Mean Field Theory

Author: Vladimir M Kolomietz
language: en
Publisher: World Scientific
Release Date: 2020-05-08
This book describes recent theoretical and experimental developments in the study of static and dynamic properties of atomic nuclei, many-body systems of strongly interacting neutrons and protons. The theoretical approach is based on the concept of the mean field, describing the motion of a nucleon in terms of a self-consistent single-particle potential well which approximates the interactions of a nucleon with all the other nucleons. The theoretical approaches also go beyond the mean-field approximation by including the effects of two-body collisions.The self-consistent mean-field approximation is derived using the effective nucleon-nucleon Skyrme-type interaction. The many-body problem is described next in terms of the Wigner phase space of the one-body density, which provides a basis for semi-classical approximations and leads to kinetic equations. Results of static properties of nuclei and properties associated with small amplitude dynamics are also presented. Relaxation processes, due to nucleon-nucleon collisions, are discussed next, followed by instability and large amplitude motion of excited nuclei. Lastly, the book ends with the dynamics of hot nuclei. The concepts and methods developed in this book can be used for describing properties of other many-body systems.
Elements Of Nuclei

In the present volume, Phillip J. Siemens, who has been a seminal contributor to our understanding of the nucleus as a many-body system, and his able collabourator, Aksel S. Jensen, introduce graduate students and colleagues in other fields to the basic concepts of nuclear physics in a way which connects clearly the methods of nuclear physics with those of condensed matter, atomic, and particle physics. Their book thus provides a lucid introduction to the key facts and concepts of nuclei, including many of the most recent developments, while emphasizing the similarities and the differences between the behaviour of nuclei, atoms, elementary particles, and condensed matter, It should thus prove useful, not only as a text for an introductory graduate course in nuclear physics, but as a reference book for all scientists interested in a unified picture of our understanding of physical phenomena associated with many-body systems.
The Response of Nuclei under Extreme Conditions

Author: R.A. Broglia
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
In recent years, a new field of nuclear research has been opened through the possibility of studying nuclei wi\h very large values of angular momentum, temperature, pressure and number of particles. This development has been closely associated with heavy ion reactions, since collisions between two heavy nuclei are especially effective in producing metastable compound systems with large angular momentum, and in transferring energy which is distributed over the whole nuclear volume. Under the strain of temperature and of the Coriolis and centrifugal forces, the nucleus displays structural changes which can be interpreted in terms of pairing and shape phase transit ions. This was the subject of the lectures of J. D. Garrett, P. J. Twin and S. Levit. While the rotational motion is, at zero temperature un damped, the width of giant resonances indicate that the nucleus only oscillates through few periods before the motion is damp ed by particle decay, and through coupling to the compound nucleus. Temperature and angular momentum influence in an im portant way the properties of both giant resonances and rotatio nal motion. These subjects were developed by K. Snover, and by P. F. Bortignon and R. A. Broglia, as well as by A. Bracco, A. Dellafiore and F. Matera.