Nuclear Collective Motion
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| Author | : David J. Rowe |
| Publisher | : World Scientific |
| Total Pages | : 373 |
| Release | : 2010 |
| Genre | : Science |
| ISBN | : 9812790640 |
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.
| Author | : David J. Rowe |
| Publisher | : World Scientific |
| Total Pages | : 373 |
| Release | : 2010 |
| Genre | : Science |
| ISBN | : 9812790667 |
1. General trends and coupling schemes. 1.1. Introduction. 1.2. The aligned coupling scheme. 1.3. The pair coupling scheme. 1.4. Competition between aligned and pair coupling. 1.5. Quasi-particles -- 2. The collective vibrational model. 2.1. Vibrations in quantum mechanics. 2.2. The energy spectrum for shape oscillations. 2.3. Electromagnetic transition strengths. 2.4. The hydrodynamic collective parameters. 2.5. Comparison with experiment. 2.6. Sum rules -- 3. The unified model for vibrations. 3.1. Even-even nuclei. 3.2. Odd-mass nuciei - weak coupling. 3.3. Excitation of vibrational states in inelastic scattering -- 4. The vibrating potential model (VPM). 4.1. The adiabatic approximation. 4.2. The possibility of going to higher order. 4.3. The vibrating potential model (VPM). 4.4. Discussion -- 5. The E1 photoresonance. 5.1. The collective model. 5.2. The independent particle model (IPM). 5.3. The compatibility of the two approaches. 5.4. The unified model. 5.5. The structure of the photoresonance -- 6. The collective rotational model. 6.1. The two-particle rotor. 6.2. The asymmetric rotor model. 6.3. The symmetric rotor model. 6.4. K = 0 bands. 6.5. The symmetric core model. 6.6. K = 1/2 bands. 6.7. Electromagnetic moments and transitions. 6.8. Band mixing -- 7. The unified model for rotations. 7.1. The aligned wave-function. 7.2. The Nilsson model. 7.3. Intrinsic structure. 7.4. Even-even nuclei. 7.5. Odd-mass nuclei - strong coupling. 7.6. Excitation of rotational states in inelastic scattering -- 8. The moment of inertia. 8.1. The irrotational flow model. 8.2. The rotational flow model. 8.3. The two-fluid model. 8.4. The cranking model. 8.5. The pushing model -- 9. Hartree-Fock seH-consistent field theory : spherical nuclei. 9.1. Hartree theory. 9.2. Hartree-Fock (HF) theory. 9.3. Realistic and effective interactions. 9.4. Hartree-Fock calculations for closed-shell nuclei. 9.5. The shell model.
| Author | : K I Kubo |
| Publisher | : World Scientific |
| Total Pages | : 546 |
| Release | : 1990-10-27 |
| Genre | : |
| ISBN | : 9814611298 |
The proceedings of the symposium on Nuclear Collective Motion and Nuclear Reaction Dynamics is dedicated to three main areas: to survey the present state of studies in nuclear collective motion and nuclear reaction dynamics, to study the possible future directions of these two topics and to commemorate the work of the late Taro Tamura.
| Author | : Dennis Bonatsos |
| Publisher | : Oxford Studies in Nuclear Phys |
| Total Pages | : 344 |
| Release | : 1988 |
| Genre | : Science |
| ISBN | : |
The fundamental model of nuclear structure is the shell model. However, its application has been limited to light nuclei (up to the sd shell) or heavier nuclei with only a few valence nucleons outside closed shells. Its application beyond these limits has been prohibited so far by the largescale of the calculations involved. For the description of nuclei beyond the sd shell having several valence nucleons the introduction of collective models becomes necessary.The first comprehensive phenomenological model of nuclear structure was the geometric collective model of A. Bohr and B.R. Mottelson. An alternative approach was proposed in 1974 by A. Arima and F. Iachello, known as the Interacting Boson Model. This model, which uses group theoretical techniquesin the description of nuclear collective properties, has the advantage of relative simplicity, allowing for detailed calculations of the properties of even medium and heavy nuclei which cannot be reached by the shell model yet. Several extensions and generalizations of the model have appeared overthe last decade. Algebraic descriptions for the effects of clustering, permanent octupole deformation, and giant resonances have also been given. For the description of odd nuclei the Interacting Boson-Fermion Model has been introduced, and nuclear supersymmetries associated with it have beenanalysed.The present text is designed to provide physicists with an accessible introduction to the subject.
| Author | : Walter Greiner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 388 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642609708 |
Theoretical physics has become a many-faceted science. For the young student it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone to obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters during which, in addition, a Diploma or Master's thesis has to be worked on or examinations prepared for. All this can be achieved only if the university teachers help to introduce the student to the new disciplines as early on as possible, in order to create interest and excitement that in turn set free essential new energy. Naturally, all inessential material must simply be eliminated. At the Johann Wolfgang Goethe University in Frankfurt we therefore confront the student with theoretical physics immediately in the first semester. Theoretical Mechanics I and II, Electrodynamics, and Quantum Mechanics I - an Introduction are the basic courses during the first two years. These lectures are supplemented with many mathematical explanations and much support material. After the fourth semester of studies, graduate work begins and Quantum Mechanics II - Symme tries, Statistical Mechanics and Thermodynamics, Relativistic Quantum Mechanics, Quantum Electrodynamics, the Gauge Theory of Weak Interactions, and Quantum Chromodynamics are obligatory.
| Author | : Nicholas Alfred Jelley |
| Publisher | : Cambridge University Press |
| Total Pages | : 300 |
| Release | : 1990 |
| Genre | : Science |
| ISBN | : 9780521269940 |
This textbook on nuclear physics will be of value to all undergraduates studying nuclear physics, as well as to first-year graduates.
| Author | : D. J. Rowe |
| Publisher | : |
| Total Pages | : 368 |
| Release | : 1970 |
| Genre | : Many-body problem |
| ISBN | : |
| Author | : National Research Council |
| Publisher | : National Academies Press |
| Total Pages | : 222 |
| Release | : 1999-03-31 |
| Genre | : Science |
| ISBN | : 0309173663 |
Dramatic progress has been made in all branches of physics since the National Research Council's 1986 decadal survey of the field. The Physics in a New Era series explores these advances and looks ahead to future goals. The series includes assessments of the major subfields and reports on several smaller subfields, and preparation has begun on an overview volume on the unity of physics, its relationships to other fields, and its contributions to national needs. Nuclear Physics is the latest volume of the series. The book describes current activity in understanding nuclear structure and symmetries, the behavior of matter at extreme densities, the role of nuclear physics in astrophysics and cosmology, and the instrumentation and facilities used by the field. It makes recommendations on the resources needed for experimental and theoretical advances in the coming decade.
| Author | : Peter Ring |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 742 |
| Release | : 2004-03-25 |
| Genre | : Health & Fitness |
| ISBN | : 9783540212065 |
| Author | : Nicolas Schunck |
| Publisher | : Iph001 |
| Total Pages | : 0 |
| Release | : 2019-01-28 |
| Genre | : Science |
| ISBN | : 9780750314237 |
Energy density functional (EDF) approaches have become over the past twenty years a powerful framework to study the structure and reactions of atomic nuclei. This book gives an updated presentation of non-relativistic and covariant energy functionals, single- and multi-reference methods, and techniques to describe small- and large-amplitude collective motion or nuclei at high excitation energy. Edited by an expert in energy density functional theory, Dr Nicolas Schunck, alongside several experts within the field, this book provides a comprehensive and informative exploration of EDF methods. Detailed derivations, practical approaches, examples and figures are used throughout the book to give a coherent narrative of topics that have hitherto rarely been covered together.
