Download or read book Nuclear Collective Motion written by David J. Rowe and published by World Scientific. This book was released on 2010 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Nuclear Shell Model written by Kris L.G. Heyde and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at enabling the reader to obtain a working knowledge of the nuclear shell model and to understand nuclear structure within the framework of the shell model. Attention is concentrated on a coherent, self-contained exposition of the main ideas behind the model with ample illustrations to give an idea beyond formal exposition of the concepts. Since this text grew out of a course taught for advanced undergraduate and first-year graduate students in theoretical nuclear physics, the accents are on a detailed exposition of the material with step-by-step derivations rather than on a superficial description of a large number of topics. In this sense, the book differs from a number of books on theoretical nuclear physics by narrowing the subject to only the nuclear shell model. Most of the expressions used in many of the existing books treating the nuclear shell model are derived here in more detail, in a practitioner's way. Due to frequent student requests I have expanded of detail in order to take away the typical phrase " . . . after some the level simple and straightforward algebra one finds . . . ". The material could probably be treated in a one-year course (implying going through the problem sets and setting up a number of numerical studies by using the provided computer codes). The book is essentially self-contained but requires an introductory course on quantum mechanics and nuclear physics on a more general level.

Download or read book Nuclear Collective Motion written by David J. Rowe and published by World Scientific. This book was released on 2010 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Nuclear Many Body Problem written by Peter Ring and published by Springer Science & Business Media. This book was released on 2004-03-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study Edition

Download or read book Nuclear Models written by Walter Greiner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nuclear Physics written by National Research Council and published by National Academies Press. This book was released on 1999-03-31 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Lectures on the Theory of the Nucleus written by A. G. Sitenko and published by Elsevier. This book was released on 2014-06-28 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an advanced and up-to-date account of the theory of nuclear structure and discusses in considerable detail both the superfluid and collective models of the nucleus, in addition to earlier complementary models and theories. The book also examines other important topics such as the rotational and vibrational spectra of nuclei which have not previously been treated in such depth. To summarize, it covers a large amount of theoretical ground in one volume and attempts to fill a serious gap in the literature. Many problems are included

Download or read book Symmetries in Atomic Nuclei written by Alejandro Frank and published by Springer Nature. This book was released on 2019-08-28 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised edition of this established work presents an extended overview of recent applications of symmetry to the description of atomic nuclei, including a pedagogical introduction to symmetry concepts using simple examples. Following a historical overview of the applications of symmetry in nuclear physics, attention turns to more recent progress in the field. Special emphasis is placed 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. Expanded and updated throughout, the book now features separate chapters on the nuclear shell model and the interacting boson model, the former including discussion of recent results on seniority in a single-j shell. Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. This book focuses on nuclear structure physics, but its broad scope makes it suitable for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics. Review of the 1st Edition: "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...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

Download or read book Basic Ideas and Concepts in Nuclear Physics An Introductory Approach written by Kris L. G. Heyde and published by CRC Press. This book was released on 1994-09-22 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposal was originally forwarded from Andrew Durnell in 1991. It is different to the competition in style, progressing logically from general nuclear properties to nuclear structure, and in content, choosing to treat the major topics in sufficient depth for the student to obtain further understanding. The logical approach, linking general nuclear properties and nuclear structure is a benefit. The careful selection of topics, well-chosen illustrations, box features containing recent research examples and results, and tested problems, together provide a complete introduction to the major concepts and ideas required to understand nuclear physics. The author is careful throughout to keep nuclear physics in context with other disciplines, and to present the subject area as dynamic and interesting, through the use of box features. Series Editor Comment "advanced text suitable for final year courses and for introductory postgraduate studies" (Hamilton) "the range and depth of cover appear ideal and Heyde's approach is excellent ... a good teacher and text follows very much his style ... he also looks forward to the frontiers ... important in a (post) graduate text ... a student can see where his own particular topic may fit in ... many texts are far removed from research ... wealth and choice of figures ... good diagrams can do a lot for a text ... level of mathematics will ensure that it can be widely used"

Download or read book SU 3 Symmetry in Atomic Nuclei written by V. K. B. Kota and published by Springer Nature. This book was released on 2020-04-02 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an understandable review of SU(3) representations, SU(3) Wigner–Racah algebra and the SU(3) ⊃ SO(3) integrity basis operators, which are often considered to be difficult and are avoided by most nuclear physicists. Explaining group algebras that apply to specific physical systems and discussing their physical applications, the book is a useful resource for researchers in nuclear physics. At the same time it helps experimentalists to interpret data on rotational nuclei by using SU(3) symmetry that appears in a variety of nuclear models, such as the shell model, pseudo-SU(3) model, proxy-SU(3) model, symplectic Sp(6, R) model, various interacting boson models, various interacting boson–fermion models, and cluster models. In addition to presenting the results from all these models, the book also describes a variety of statistical results that follow from the SU(3) symmetry.

Download or read book Interacting Boson Models of Nuclear Structure written by Dennis Bonatsos and published by Oxford Studies in Nuclear Phys. This book was released on 1988 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book An Advanced Course in Modern Nuclear Physics written by J.M. Arias and published by Springer. This book was released on 2008-01-11 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ?eld of nuclear physics is entering the 21st century in an interesting and exciting way. On the one hand, it is changing qualitatively since new experim- tal developments allow us to direct radioactive and other exotic probes to target nuclei as well as to sparko? extremely energetic nuclear collisions. In parallel, detector systems are of an impressive sophistication. It is di?cult to envisage all the discoveries that will be made in the near future. On the other hand, the app- cations of nuclear science and technology are broadening the limits in medicine, industry, art, archaeology, and the environmental sciences, etc. This implies that the public perception of our ?eld is changing, smoothly but drastically, in c- trast to former times where nuclear weapons and nuclear power plants were the dominant applications perceived by citizens. Both aspects, scienti?c dynamism and popular recognition, should lead the ?eld to an unexpected revival. One of the consequences of the former could be that many brilliant students consider nuclear physics as an excellent ?eld in which to acquire professional expertise. Therefore, one of the challenges of the international nuclear physics community is to try to make the ?eld attractive. That means simply being pedagogic and enthusiastic. Thus, as organisers of an already established summer school, our contribution was to put an emphasis in this session on pedagogy and enthusiasm.

Download or read book The Basics of Nuclear and Particle Physics written by Alexander Belyaev and published by Springer Nature. This book was released on 2021-11-08 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook breaks down the basics of Nuclear Structure and modern Particle Physics. Based on a comprehensive set of course notes, it covers all the introductory material and latest research developments required by third- and fourth-year physics students. The textbook is divided into two parts. Part I deals with Nuclear Structure, while Part II delves into Particle Physics. Each section contains the most recent science in the field, including experimental data and research on the properties of the top quark and Higgs boson. Detailed mathematical derivations are provided where necessary to helps students grasp the physics at a deeper level. Many of these have been conveniently placed in the Appendices and can be omitted if desired. Each chapter ends with a brief summary and includes a number of practice problems, the answers to which are also provided.

Download or read book Introductory Nuclear Physics written by Kenneth S. Krane and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTORY NUCLEAR PHYSICS

Download or read book The Nuclear Shell Model written by Kris Heyde and published by Springer. This book was released on 2013-12-20 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present edition, a number of new features have been added. First of all, a number of typographical errors that had crept into the text have been corrected. More importantly, a number of new examples, figures and smaller sections have been added. In evaluating the two-body matrix elements which characterize the residual interaction, attention has been paid to the multipole expansion and insight into the importance of various multipoles is presented. The 18 example of 0 is now worked out for all the different angular momentum states in the section on configuration mixing. Some additional comments on how to determine one- and two-body matrix elements in jn configurations, on isospin and the application of isospin to the study of light odd-odd nuclei are included. In Chap. 3, a small section on the present use of large-scale shell model calculations and a section on experimental tests of how a nucleon actually moves inside the nucleus (using electromagnetic probing of nucleonic motion) has been added. In Chap. 4, some recent applications of the study of quadrupole motion in jn particle systems (with reference to the Po, Rn, Ra nuclei) are presented. In the discussion of magnetic dipole moments, the effects and importance of collective admixtures are pointed out and discussed. In Chap. 5, some small additions relating to the particle-hole conjugation and to the basic Hartree-Fock theory have been made. In Chap.

Download or read book The Interacting Boson Model written by F. Iachello and published by Cambridge University Press. This book was released on 2006-11-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an account of the properties of the interacting boson model.

Download or read book Computational Nuclear Physics 1 written by K. Langanke and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of standard problems in theoretical nuclear-structure physics is addressed by the well-documented computer codes presented in this book. Most of these codes were available up to now only through personal contact. The subject matter ranges from microscopic models (the shell, Skyrme-Hartree-Fock, and cranked Nilsson models) through collective excitations (RPA, IBA, and geometric model) to the relativistic impulse approximation, three-body calculations, variational Monte Carlo methods, and electron scattering. The 5 1/4'' high-density floppy disk that comes with the book contains the FORTRAN codes of the problems that are tackled in each of the ten chapters. In the text, the precise theoretical foundations and motivations of each model or method are discussed together with the numerical methods employed. Instructions for the use of each code, and how to adapt them to local compilers and/or operating systems if necessary, are included.