Download or read book The Nuclear Shell Model and Two body Interactions written by Robert J. Wagner and published by . This book was released on 1961 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 The Nuclear Two body Interaction and Shell Model Studies of Selected Light and Medium Weight Nuclei written by Thomas Aloysius Hughes and published by . This book was released on 1965 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Simple Models of Complex Nuclei written by Igal Talmi and published by Routledge. This book was released on 2017-10-06 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt: applications to the structure of atomic nuclei. The author systematically develops these models from the elementary level, through an introduction to tensor algebra, to the use of group theory in spectroscopy. The book's extensive and detailed appendix includes a large selection of useful formulae of tensor algebra and spectroscopy. The serious graduate student, as well as the professional physicist, will find this complete treatment of the shell model to be an invaluable addition to the literature.
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 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 The Nuclear Shell Model written by Tsung-Shung Harry Lee and published by . This book was released on 1990 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Isospin breaking Interactions in the Nuclear Shell Model written by Aaron Magilligan and published by . This book was released on 2021 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ever advancing scale of experimental nuclear physics has lit a fire under nuclear theorists. With the inevitable explosion in the number of exotic isotopes available for study at the soon to be operational Facility for Rare Isotope Beams and other rare isotope labs, the need for quantitative descriptions of nuclei far from stability is clear.The Nuclear Shell Model allows for the calculation of realistic nuclear wavefunctions using configuration-interaction theory. This theory examines only the valence nucleons in a restricted model space or "nuclear shell" and treats the filled shells in the core of the nucleus as inert. Interactions used in this theory usually take the form of one- and two-body terms which can be built up from fundamental theory using various many body methods and are continually being improved. The ab initio based methods now include three-body interactions together with improved methods for handling short-ranged correlations and model space truncations. This enables them to describe binding energies within several MeV and energy spectra within about 500 keV.One can phenomenologically improve upon these interactions by using the energy data for nuclei in a given mass region to obtain effective two-body matrix elements for a given model space. An effective method for doing this is to start with an ab initio based Hamiltonian and then to modify the best determined linear combinations of interaction parameters as determined by the energy data using what is called the singular value decomposition method. This can be thought of as a truncation of the allowed parameter space. The result is that both binding and excitation energies can be described to within 150-200 keV. The relatively small modifications to the ab initio interaction parameters reflect deficiencies in the many-body methods and their inputs.This method has resulted in widely used Hamiltonians for several model spaces. Universal effective sd-shell Hamiltonians have a history dating back to the 1970s, and the newest updates are presented in this dissertation. The USDC interaction, as it is called, and its companion interactions are the first effective sd-shell interactions that incorporate energies in the fitting protocol from proton rich nuclei and explicitly includes isospin-breaking terms. Apart from the addition of a Coulomb interaction, an isotensor term is added to the strong interaction in order to reproduce the oscillation found in the c-coefficients of the Isobaric Multiplet Mass Equation. A modified version of Coulomb is used in the USDCm interaction, which was constrained to better reproduce mirror energy differences.Experimental binding and excitation energies across the shell are reproduced by USDC, apart from the known island of inversion nuclei and the neutron-rich fluorine isotopes. A single-particle model of the Thomas-Ehrman shift is developed to account for coupling to the continuum not present in the shell model results for nuclei at or near the proton dripline. Using this model and the improved theoretical binding energies, new predictions for the proton and neutron driplines are presented. The possibility of 34Ca being a two-neutron emitter is explored.Isospin level mixing of isobaric analogue states with nearby states can significantly impact nuclear decays. Several cases with experimentally measured isospin mixing are explained with the new interactions. However, USDCm over predicts the strength of the associated matrix elements. This motivates a refinement of USDC in which an isovector term is added to the strong interaction and constrained to reproduce changes of mirror energy differences in the isobaric doublets. This is shown to provide the benefits of the modified Coulomb interaction without its detriments.An effective fp-shell interaction is presented tailored to the neutron rich calcium isotopes out to 60Ca. This is constrained with the nuclear interaction fitting code FINCH, developed during the creation of the USDC interactions. This interaction is shown to be a good renormalized fp-shell interaction and several predictions for unobserved states are presented. Using this and inter-model comparisons leads us to conclude that 60Ca is likely doubly-magic to a similar level as $. {68}$Ni.Following these successful implementations of effective universal configuration-interaction Hamiltonians, future research aims to develop an sdpf model space interaction for deeper study of the N=20, 28, and 42 islands of inversion.
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 Nucleon nucleon Interaction and the Nuclear Many body Problem written by Gerald E. Brown and published by World Scientific. This book was released on 2010 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of some key developments in the understanding of the nucleon-nucleon interaction and nuclear many-body theory. The main problems at the level of meson exchange physics have been solved, and we have an effective field theory using a phenomenological interaction pioneered by Achim Schwenk and Scott Bogner, which is nearly universally accepted as a unique low-momentum interaction that includes all experimental data to date.This understanding is based on a multi-step development in which different scientific insights and a wide range of physical and mathematical methodologies fed into each other. It is best appreciated by looking at the different 'steps along the way', starting with the pioneering work of Brueckner and his collaborators that was just as necessary and important as the insightful masterly improvements to Brueckner's theory by Hans Bethe and his students. Moving on from there, the off-shell effects that bedeviled Bethe's work — which had resulted in the 1963 Reference Spectrum Method — were treated relatively accurately by introducing an energy gap between initial bound states and an intermediate state. With their influential 1967 paper, Brown and Kuo prepared the effective field theory. Later, the introduction of 'Brown-Rho scaling' deepened understanding of saturation in the many-body system and fed directly into recent work on carbon-14 dating.
Download or read book Nucleon nucleon Interaction And The Nuclear Many body Problem The Selected Papers Of Gerald E Brown And T T S Kuo written by Gerald E Brown and published by World Scientific. This book was released on 2010-07-05 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of some key developments in the understanding of the nucleon-nucleon interaction and nuclear many-body theory. The main problems at the level of meson exchange physics have largely been solved, and we now have an effective nucleon-nucleon interaction, pioneered in a renormalization group formalism by several of us at Stony Brook and our colleagues at Naples, which is nearly universally accepted as the unique low-momentum interaction that includes all experimental information to date.Our present understanding of these issues is based on a multi-step development in which different scientific insights and a wide range of physical and mathematical methodologies fed into each other. It is best appreciated by looking at the ‘steps along the way’, starting with the pioneering work of Brueckner and his collaborators that was just as necessary and important as the insightful improvements to Brueckner's theory by Hans Bethe and his students. Moving on from there, microscopic methods for nuclear structure calculations using the Brueckner G-matrix, and later low-momentum nucleon interactions, were developed and applied. With their influential 1967 paper, Brown and Kuo prepared the effective theory that allowed the description of nuclear properties directly from the underlying nucleon-nucleon interaction. Later, the addition of ‘Brown-Rho scaling’ to the one-boson-exchange model deepened the understanding of nuclear matter saturation, carbon-14 dating and the structure of neutron stars.
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 The Two Body Force in Nuclei written by S. M. Austin 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: The idea of this symposium grew out of our discussions on the need to review the advances that had been made in the theoretical description of inelastic scattering reactions in the last few years. Since a microscopic description of inelastic scattering uses realistic effective interactions, we felt that it was appropriate to begin such a summary with a discussion of the free two-nucleon force. However as we thought further about this review, it became increasingly apparent that a rather more ambitious program linking the free two-nucleon force and nuclear matter calculations both to shell model calculations and to reaction theory, would be appropriate and perhaps even necessary to do full justice to the subject. We hope that the symposium as it emerged did fulfill these aims, better perhaps than we expected. There are some comments required concerning the presentation of the material. First the papers are grouped by session number for convenient gathering of the same topic in the same place. Secondly, because of the rather tight constraint on pages, it was possible to print only those contributions which were presented orally at the symposium. The remainner are included as abstracts. The full text of all the contributed papers is available as a Michigan State University Cyclotron Laboratory Report (MSUCL 39/1971).
Download or read book Lectures in Nuclear Structure written by Tony Hilton Royle Skyrme and published by . This book was released on 1959 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
