Download or read book Mixed symmetry Shell model Calculations in Nuclear Physics written by Vesselin Gueorguiev Gueorguiev and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mixed Symmetry Shell Model Calculations in Nuclear Physics written by Vesselin G. Gueorguiev and published by LAP Lambert Academic Publishing. This book was released on 2010-08 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microscopic calculations often consider particles placed in single- particle energy levels subject to two-body interactions. In order to reproduce collective phenomena one relies on the computer power to study the system in huge model spaces. Ultimately, such simulations will describe collectivity adequately, but the understanding of the phenomena and their symmetry roots are rarely advanced. It is the goal of this work to illustrate that if one uses basis with built in collectivity one could describe the collective phenomena better and would also advance their understanding. The text contains: (a) the nuclear shell model in spherical and Elliot s SU(3) basis; (b) the harmonic oscillator in a one-dimensional box as a toy model of a two-mode system; (c) generalized eigenvalue problem and the geometrical visualization of the oblique shell- model basis; (d) illustrative systems such as 24Mg and 44Ti in oblique basis; (e) Study of the SU(3) symmetry and measuring the its breaking for pf-shell nuclei. This text could be of value to professors and advanced students who are pursuing research in unconventional computational methods for quantum many-body systems.
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 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 Group Symmetries in Nuclear Structure written by J. Parikh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a graduate-level "special topics" course I gave at the University of Rochester in 1970. The purpose of the course was to discuss as far as possible all known symmetries in nuclei, with special emphasis on dynamical symmetries. Since there was no comprehensive account of this subject in the literature, I was encouraged to write a review based on my lecture notes. The end result is the present volume. Like the course, the book is intended mainly for graduate students and research workers in nuclear physics. The only prior knowledge required to follow the book is graduate-level quantum mechanics and nuclear physics and hence I believe that it can be useful to both experimental and theoretical nuclear physicists. In addition, the book should prepare a student to read the latest literature on the subject and also train him to do group theoretic work in nuclear physics. The organization of the material in the book is described in Chapter 1.
Download or read book Symmetries in Nuclear Structure written by K. Abrahams and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1982 summer school on nuclear physics, organized by the Nuclear Physics Division of the Netherlands' Physical Society, was the fifth in a series that started in 1963. The number of students attending has always been about one hundred, coming from about thirty countries. The theme of this year's school was symmetry in nuclear physics. This book covers the material presented by the enthusi astic speakers, who were invited to lecture on this subject. We think they have succeeded in presenting us with clear and thorough introductory talks at graduate or higher level. The time schedule of the school and the location allowed the participants to make many informal contacts during many social activities, ranging from billiards to surf board sailing. We hope and expect that the combination of a relaxed atmosphere during part of the time and hard work during most of the time, has furthered the interest in, and understanding of, nuclear physics. The organization of the summer school was made possible by substantial support from the Scientific Affairs Division of the North Atlantic Treaty Organization, the Netherlands' Ministry of Education and Science, the Foundation Physica and the Nether lands' Physical Society.
Download or read book Nuclear Collective Motion Models And Theory written by David J Rowe and published by World Scientific. This book was released on 2010-05-31 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 Symmetries in Atomic Nuclei written by Alejandro Frank and published by Springer Nature. This book was released on 2019-08-28 with total page 209 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 Gamow Shell Model written by Nicolas Michel and published by Springer Nature. This book was released on 2021-04-24 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first graduate-level, self-contained introduction to recent developments that lead to the formulation of the configuration-interaction approach for open quantum systems, the Gamow shell model, which provides a unitary description of quantum many-body system in different regimes of binding, and enables the unification in the description of nuclear structure and reactions. The Gamow shell model extends and generalizes the phenomenologically successful nuclear shell model to the domain of weakly-bound near-threshold states and resonances, offering a systematic tool to understand and categorize data on nuclear spectra, moments, collective excitations, particle and electromagnetic decays, clustering, elastic and inelastic scattering cross sections, and radiative capture cross sections of interest to astrophysics. The approach is of interest beyond nuclear physics and based on general properties of quasi-stationary solutions of the Schrödinger equation – so-called Gamow states. For the benefit of graduate students and newcomers to the field, the quantum-mechanical fundamentals are introduced in some detail. The text also provides a historical overview of how the field has evolved from the early days of the nuclear shell model to recent experimental developments, in both nuclear physics and related fields, supporting the unified description. The text contains many worked examples and several numerical codes are introduced to allow the reader to test different aspects of the continuum shell model discussed in the book.
Download or read book A Shell Model Description of Light Nuclei written by Ian Stuart Towner and published by Oxford University Press, USA. This book was released on 1977 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetries in Nuclear Structure written by Andrea Vitturi and published by World Scientific. This book was released on 2004-04-15 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Highly Specialized Seminar on "Symmetries in Nuclear Structure", held in Erice, Italy, in March 2003, celebrated the career and the remarkable achievements of Francesco Iachello, on the occasion of his 60th birthday. Since the development of the interacting boson model in the early 1970s, the ideas of Iachello have provided a variety of frameworks for understanding collective behaviour in nuclear structure, founded on the concepts of dynamical symmetries and spectrum-generating algebras. The original ideas, which were developed for the description of atomic nuclei, have now been successfully extended to cover spectroscopic behaviour in other fields, such as molecular or hadronic spectra. More recently, the suggestion by Iachello of critical point symmetries to treat nuclei in shape/phase transitional regions has opened an exciting new front for both theoreticians and experimentalists.The talks presented at the meeting covered many of the most active forefront areas of nuclear structure as well as other fields where ideas of symmetries are being explored. Topics in nuclear structure included extensive discussions on dynamical symmetries, critical point symmetries, phase transitions, statistical properties of nuclei, supersymmetry, mixed symmetry states, shears bands, pairing and clustering in nuclei, shape coexistence, exotic nuclei, dipole modes, and astrophysics, among others. In addition, important sessions focused on talks by European laboratory directors (or their representatives) outlining prospects for nuclear structure, and the application of symmetry ideas to molecular phenomena. Finally, a special lecture by Nobel laureate Alex Mueller, on s and d wave symmetry in superconductors, presented a unique insight into an allied field.The proceedings have been selected for coverage in:* Index to Scientific & Technical Proceedings� (ISTP� / ISI Proceedings)* Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)* CC Proceedings -- Engineering & Physical Sciences
Download or read book Shell Model and Nuclear Structure written by Aldo Covello and published by . This book was released on 1989 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of the Nuclear Shell Model written by R. D. Lawson and published by Oxford University Press, USA. This book was released on 1980 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contemporary Nuclear Shell Models written by Xing-Wang Pan and published by Springer. This book was released on 1997-02-20 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports recent development in nuclear structure physics and closely related topics. Particularly, it centers on new methodologies and recent applications of the nuclear shell model such as quantum Monte Carlo methods, large-scale shell model calculations and microscopic theories of effective interactions. Each review focuses on one fundamental topic closely related to the nuclear shell model. Each topic is covered in sufficient depth and detail to be accessible to a wide audience including nuclear engineers and astrophysicists and those working in various fields of scientific computing and modelling.
Download or read book Nuclear Shell Theory written by Amos de-Shalit and published by Academic Press. This book was released on 2013-10-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Shell Theory is a comprehensive textbook dealing with modern methods of the nuclear shell model. This book deals with the mathematical theory of a system of Fermions in a central field. It is divided into three parts. Part I discusses the single particle shell model. The second part focuses on the tensor algebra, two-particle systems. The last part covers three or more particle systems. Chapters on wave functions in a central field, tensor fields, and the m-Scheme are also presented. Physicists, graduate students, and teachers of nuclear physics will find the book invaluable.
Download or read book Nuclear Structure from a Simple Perspective written by R. F. Casten and published by Oxford University Press. This book was released on 1990-04-26 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a useful survey and assessment of the study of low-energy collective and single particle excitations of medium and heavy nuclei. An ideal resource for graduate students, the book covers both experimental and theoretical perspectives. The author's simple intuitive approach will help the reader to understand the empirical systematics as well as detailed model calculations, without recourse to complex--and often--confusing formalism.
Download or read book Solution of the Nuclear Shell Model by Symmetry dictated Truncation written by M.W. Guidry and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
