Seventy Years of Double Beta Decay

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Publisher : World Scientific
ISBN 13 : 981283236X
Total Pages : 1559 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Seventy Years of Double Beta Decay by : H. V. Klapdor-Kleingrothaus

Download or read book Seventy Years of Double Beta Decay written by H. V. Klapdor-Kleingrothaus and published by World Scientific. This book was released on 2010 with total page 1559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. 1. Double beta decay - historical retrospective and perspectives. 1.1. From the early days until the gauge theory era. 1.2. The nuclear physics side - nuclear matrix elements. 1.3. Double beta decay, neutrino mass models and cosmological parameters - status and prospects. 1.4. Other beyond standard model physics : from SUSY and leptoquarks to compositeness and space time structure. 1.5. The experimental race : from the late eighties to the discovery of [symbol] decay. 1.6. The future of double beta decay. 1.7. Conclusion -- ch. 2. Original articles. 2.1. From the early days until the gauge theory era. 2.2. The nuclear physics side - nuclear matrix elements. 2.3. Double beta decay, neutrino mass models and cosmological parameters - status and prospects. 2.4. Other beyond standard model physics : from SUSY and leptoquarks to compositeness and space time structure. 2.5. The experimental race : from the late eighties to the discovery of [symbol] decay. 2.6. The future of double beta decay

Seventy Years of Double Beta Decay

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis Seventy Years of Double Beta Decay by : H. V. Klapdor-Kleingrothaus

Download or read book Seventy Years of Double Beta Decay written by H. V. Klapdor-Kleingrothaus and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This book presents the breathtaking manner in which achievements in particle physics have been made from a nuclear physics process. Consisting of a 150-page highly factual overview of the field of double beta decay and a 1200-page collection of the most important original articles, the book outlines the development of double beta decay research - theoretical and experimental - from its humble beginnings until its most recent achievements, with its revolutionary consequences for the theory of particle physics. It further presents an outlook on the exciting future of the field.

Seventy Years of Double Beta Decay

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Publisher : World Scientific
ISBN 13 : 9812832351
Total Pages : 1559 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Seventy Years of Double Beta Decay by : Hans Volker Klapdor-Kleingrothaus

Download or read book Seventy Years of Double Beta Decay written by Hans Volker Klapdor-Kleingrothaus and published by World Scientific. This book was released on 2010 with total page 1559 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 20 years the disciplines of particle physics, astrophysics, nuclear physics and cosmology have grown together in an unprecedented way. A brilliant example is nuclear double beta decay, an extremely rare radioactive decay mode, which is one of the most exciting and important fields of research in particle physics at present and the flagship of non-accelerator particle physics. While already discussed in the 1930s, only in the 1980s was it understood that neutrinoless double beta decay can yield information on the Majorana mass of the neutrino, which has an impact on the structure of space-time. Today, double beta decay is indispensable for solving the problem of the neutrino mass spectrum and the structure of the neutrino mass matrix. The potential of double beta decay has also been extended such that it is now one of the most promising tools for probing beyond-the-standard-model particle physics, and gives access to energy scales beyond the potential of future accelerators. This book presents the breathtaking manner in which achievements in particle physics have been made from a nuclear physics process. Consisting of a 150-page highly factual overview of the field of double beta decay and a 1200-page collection of the most important original articles, the book outlines the development of double beta decay research theoretical and experimental from its humble beginnings until its most recent achievements, with its revolutionary consequences for the theory of particle physics. It further presents an outlook on the exciting future of the field.

Seventy Years Of Double Beta Decay: From Nuclear Physics To Beyond-standard-model Particle Physics

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Publisher : World Scientific
ISBN 13 : 9814470554
Total Pages : 1556 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Seventy Years Of Double Beta Decay: From Nuclear Physics To Beyond-standard-model Particle Physics by : Hans Volker Klapdor-kleingrothaus

Download or read book Seventy Years Of Double Beta Decay: From Nuclear Physics To Beyond-standard-model Particle Physics written by Hans Volker Klapdor-kleingrothaus and published by World Scientific. This book was released on 2010-03-25 with total page 1556 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 20 years the disciplines of particle physics, astrophysics, nuclear physics and cosmology have grown together in an unprecedented way. A brilliant example is nuclear double beta decay, an extremely rare radioactive decay mode, which is one of the most exciting and important fields of research in particle physics at present and the flagship of non-accelerator particle physics.While already discussed in the 1930s, only in the 1980s was it understood that neutrinoless double beta decay can yield information on the Majorana mass of the neutrino, which has an impact on the structure of space-time. Today, double beta decay is indispensable for solving the problem of the neutrino mass spectrum and the structure of the neutrino mass matrix. The potential of double beta decay has also been extended such that it is now one of the most promising tools for probing beyond-the-standard-model particle physics, and gives access to energy scales beyond the potential of future accelerators.This book presents the breathtaking manner in which achievements in particle physics have been made from a nuclear physics process. Consisting of a 150-page highly factual overview of the field of double beta decay and a 1200-page collection of the most important original articles, the book outlines the development of double beta decay research — theoretical and experimental — from its humble beginnings until its most recent achievements, with its revolutionary consequences for the theory of particle physics. It further presents an outlook on the exciting future of the field.

Sixty Years of Double Beta Decay

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Publisher : World Scientific
ISBN 13 : 9789812811929
Total Pages : 1324 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Sixty Years of Double Beta Decay by : H. V. Klapdor-Kleingrothaus

Download or read book Sixty Years of Double Beta Decay written by H. V. Klapdor-Kleingrothaus and published by World Scientific. This book was released on 2001 with total page 1324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear double beta decay is one of the most promising tools for probing beyond-the-standard-model physics on beyond-accelerator energy scales. It is already now probing the TeV scale, on which new physics should manifest itself according to theoretical expectations. Only in the early 1980s was it known that double beta decay yields information on the Majorana mass of the exchanged neutrino. At present, the sharpest bound for the electron neutrino mass arises from this process. It is only in the last 10 years that the much more far-reaching potential of double beta decay has been discovered. Today, the potential of double beta decay includes a broad range of topics that are equally relevant to particle physics and astrophysics, such as masses of heavy neutrinos, of sneutrinos, as SUSY models, compositeness, leptoquarks, left-right symmetric models, and tests of Lorentz symmetry and equivalence principle in the neutrino sector. Double beta decay has become indispensable nowadays for solving the problem of the neutrino mass spectrum and the structure of the neutrino mass matrix OCo together with present and future solar and atmospheric neutrino oscillation experiments. Some future double beta experiments (like GENIUS) will be capable to be simultaneously neutrino observatories for double beta decay and low-energy solar neutrinos, and observatories for cold dark matter of ultimate sensitivity. This invaluable book outlines the development of double beta research from its beginnings until its most recent achievements, and also presents the outlook for its highly exciting future. Contents: Double Beta Decay OCo Historical Retrospective and Perspectives; Original Articles: From the Early Days until the Gauge Theory Era; The Nuclear Physics Side OCo Nuclear Matrix Elements; The Nuclear Physics Side OCo Nuclear Matrix Elements; Effective Neutrino Masses from Double Beta Decay, Neutrino Mass Models and Cosmological Parameters OCo Present Status and Prospects; Other Beyond Standard Model Physics: From SUSY and Leptoquarks to Compositeness and Quantum Foam; The Experimental Race: From the Late Eighties to the Future; The Future of Double Beta Decay; Appendices: Ten Years of HeidelbergOCoMoscow Experiment; The Potential Future OCo GENIUS. Readership: Particle physicists, nuclear physicists and astrophysicists."

Sixty Years Of Double Beta Decay: From Nuclear Physics To Beyond Standard Model

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Publisher : World Scientific
ISBN 13 : 9814495239
Total Pages : 1313 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Sixty Years Of Double Beta Decay: From Nuclear Physics To Beyond Standard Model by : Hans Volker Klapdor-kleingrothaus

Download or read book Sixty Years Of Double Beta Decay: From Nuclear Physics To Beyond Standard Model written by Hans Volker Klapdor-kleingrothaus and published by World Scientific. This book was released on 2001-04-30 with total page 1313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear double beta decay is one of the most promising tools for probing beyond-the-standard-model physics on beyond-accelerator energy scales. It is already now probing the TeV scale, on which new physics should manifest itself according to theoretical expectations. Only in the early 1980s was it known that double beta decay yields information on the Majorana mass of the exchanged neutrino. At present, the sharpest bound for the electron neutrino mass arises from this process. It is only in the last 10 years that the much more far-reaching potential of double beta decay has been discovered. Today, the potential of double beta decay includes a broad range of topics that are equally relevant to particle physics and astrophysics, such as masses of heavy neutrinos, of sneutrinos, as SUSY models, compositeness, leptoquarks, left-right symmetric models, and tests of Lorentz symmetry and equivalence principle in the neutrino sector. Double beta decay has become indispensable nowadays for solving the problem of the neutrino mass spectrum and the structure of the neutrino mass matrix — together with present and future solar and atmospheric neutrino oscillation experiments. Some future double beta experiments (like GENIUS) will be capable to be simultaneously neutrino observatories for double beta decay and low-energy solar neutrinos, and observatories for cold dark matter of ultimate sensitivity.This invaluable book outlines the development of double beta research from its beginnings until its most recent achievements, and also presents the outlook for its highly exciting future.

Search for the "totally Unexpected" in the LHC Era

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Author :
Publisher : World Scientific
ISBN 13 : 9814293237
Total Pages : 511 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Search for the "totally Unexpected" in the LHC Era by : Antonino Zichichi

Download or read book Search for the "totally Unexpected" in the LHC Era written by Antonino Zichichi and published by World Scientific. This book was released on 2010 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: From 29 August to 7 September 2007, a large group of distinguished lecturers and young physicists from various countries met in Erice, Italy, at the ?Ettore Majorana? Foundation and Centre for Scientific Culture (EMFCSC) to attend the 45th Course of the International School of Subnuclear Physics: ?Search for the ?Totally Unexpected? in the LHC era?.This book is a collection of lectures delivered during the course, which covered the most recent advances in theoretical physics and the latest results from the current experimental facilities. In the School's effort to encourage and promote young physicists achieve recognition at an international level, students who distinguished themselves for the excellence of their research have been given the opportunity to publish their presentation in this volume.

Neutrinos and Beyond

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Publisher : National Academies Press
ISBN 13 : 0309087163
Total Pages : 104 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Neutrinos and Beyond by : National Research Council

Download or read book Neutrinos and Beyond written by National Research Council and published by National Academies Press. This book was released on 2003-06-13 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The President's FY 2003 Budget Request for the National Science Foundation (NSF) under the Major Research Equipment and Facilities Construction Account called for a National Research Council (NRC) review of the scientific merits of IceCube and other proposed U.S. neutrino projects in the context of current and proposed capabilities throughout the world. The NRC committee-the Neutrino Facilities Assessment Committee (NFAC)-was charged with providing scientific assessments of two possible future science initiatives: (1) IceCube, a very large volume detector of high-energy neutrinos proposed for the South Pole and (2) a possible deep underground science facility to be developed in the United States to pursue a broad range of fundamental questions in physics and astronomy. Fourteen persons were appointed to the committee, and the first meeting was held in June 2002, with delivery of the final report expected within 6 months. The committee's assessment was to be performed in the context of current and planned neutrino capabilities throughout the world. Specifically, the study was to address the unique capabilities of each class of new experiment and any possible redundancy between the two types of facility.

Physics of Massive Neutrinos

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Publisher : Cambridge University Press
ISBN 13 : 9780521428491
Total Pages : 264 pages
Book Rating : 4.4/5 (284 download)

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Book Synopsis Physics of Massive Neutrinos by : Felix Boehm

Download or read book Physics of Massive Neutrinos written by Felix Boehm and published by Cambridge University Press. This book was released on 1992-06-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrinos play a decisive part in nuclear and elementary particle physics, as well as in astrophysics and cosmology. Some of their most basic properties, such as their mass and charge conjugation symmetry, are largely unknown. This book focuses on what we know and may hope to know about the mass of the neutrino and its particle-antiparticle symmetry. Topics include neutrino mixing, neutrino decay, neutrino oscillations, double beta decay, solar neutrinos, supernova neutrinos and related issues. The authors stress the physical concepts, and discuss both theoretical and experimental techniques. This updated second edition differs from the first in that it contains an expanded coverage of experimental results and theoretical advances. Since publication of the first edition, many issues that were at that time unresolved, such as tritium beta decay and reactor neutrino oscillations, have been clarified and are discussed here. Also included is an expanded coverage of solar and supernova neutrinos. This book deals with one of the most intriguing issues in modern physics, and will be of value to researchers, graduate students and advanced undergraduates specializing in experimental and theoretical particle physics and nuclear physics.

Table of Radioactive Isotopes

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Publisher : Wiley-VCH
ISBN 13 : 9780471849094
Total Pages : 1056 pages
Book Rating : 4.8/5 (49 download)

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Book Synopsis Table of Radioactive Isotopes by : Edgardo Browne

Download or read book Table of Radioactive Isotopes written by Edgardo Browne and published by Wiley-VCH. This book was released on 1986-07-30 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: A convenient source of radiation data which incorporates the changes dictated by present-day science and computer technology, presented with a high degree of uniformity, completeness, and consistency in both the data and appendices. Includes tables of adopted properties for all radiations emitted by nuclei, which were derived from experimental data plus reliable calculations, along with adopted properties based on statistical analyses of existing experimental data alone. Other derived adopted properties (e.g. average photon energies per disintegration) are calculated when strong user demand is anticipated. Over 260 drawings accompany the text.

Neutrino Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642736793
Total Pages : 339 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Neutrino Physics by : Hans V. Klapdor

Download or read book Neutrino Physics written by Hans V. Klapdor and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrinos play an intriguing role in modern physics linking central questions of particle physics, cosmology and astrophysics. The contributions in this book reflect the present status of neutrino physics with emphasis on non-accelerator or beyond-accelerator experiments. Since a nonvanishing neutrino mass would yield an important boundary condition for GUT, SUSY or Superstring models and since neutrinos are the best candidates for dark matter in the universe, the many efforts to look for a neutrino mass, ranging from neutrino oscillation experiments using reactors, accelerators or the sun as neutrino sources, to tritium decay experiments and the search for neutrinoless double beta decay, are described in some detail. One of the sections is devoted to neutrinos from collapsing stars, including the supernova SN 1987 A. Possibilities for detecting cosmological neutrinos are discussed and an outlook to future experiments is given.

Handbook of Radioactivity Analysis

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Publisher : Elsevier
ISBN 13 : 0323137881
Total Pages : 771 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Handbook of Radioactivity Analysis by : Michael F. L'Annunziata

Download or read book Handbook of Radioactivity Analysis written by Michael F. L'Annunziata and published by Elsevier. This book was released on 2012-12-02 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Radioactivity Analysis is written by experts in the measurement of radioactivity. The book describes the broad scope of analytical methods available and instructs the reader on how to select the proper technique. It is intended as a practical manual for research which requires the accurate measurement of radioactivity at all levels, from the low levels encountered in the environment to the high levels measured in radioisotope research. This book contains sample preparation procedures, recommendations on steps to follow, necessary calculations, computer controlled analysis, and high sample throughput techniques. Each chapter includes practical techniques for application to nuclear safety, nuclear safeguards, environmental analysis, weapons disarmament, and assays required for research in biomedicine and agriculture. The fundamentals of radioactivity properties, radionuclide decay, and methods of detection are included to provide the basis for a thorough understanding of the analytical procedures described in the book. Therefore, the Handbook can also be used as a teaching text. Key Features * Includes sample preparation techniques for matrices such as soil, air, plant, water, animal tissue, and surface swipes * Provides procedures and guidelines for the analysis of commonly encountered na

Neutrino Mass

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Publisher : Springer
ISBN 13 : 3540449019
Total Pages : 0 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Neutrino Mass by : Guido Altarelli

Download or read book Neutrino Mass written by Guido Altarelli and published by Springer. This book was released on 2004-02-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the current state of knowledge of neutrino masses and the related question of neutrino oscillations. After an overview of the theory of neutrino masses and mixings, detailed accounts are given of the laboratory limits on neutrino masses, astrophysical and cosmological constraints on those masses, experimental results on neutrino oscillations, the theoretical interpretation of those results, and theoretical models of neutrino masses and mixings. The book concludes with an examination of the potential of long-baseline experiments. This is an essential reference text for workers in elementary-particle physics, nuclear physics, and astrophysics.

Event Classification in Liquid Scintillator Using PMT Hit Patterns

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Publisher : Springer Nature
ISBN 13 : 3030316165
Total Pages : 223 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Event Classification in Liquid Scintillator Using PMT Hit Patterns by : Jack Dunger

Download or read book Event Classification in Liquid Scintillator Using PMT Hit Patterns written by Jack Dunger and published by Springer Nature. This book was released on 2019-11-13 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for neutrinoless double beta decay is one of the highest priority areas in particle physics today; it could provide insights to the nature of neutrino masses (currently not explained by the Standard Model) as well as how the universe survived its early stages. One promising experimental approach involves the use of large volumes of isotope-loaded liquid scintillator, but new techniques for background identification and suppression must be developed in order to reach the required sensitivity levels and clearly distinguish the signal. The results from this thesis constitute a significant advance in this area, laying the groundwork for several highly effective and novel approaches based on a detailed evaluation of state-of-the-art detector characteristics. This well written thesis includes a particularly clear and comprehensive description of the theoretical motivations as well as impressively demonstrating the effective use of diverse statistical techniques. The professionally constructed signal extraction framework contains clever algorithmic solutions to efficient error propagation in multi-dimensional space. In general, the techniques developed in this work will have a notable impact on the field.

State Of The Art Of Neutrino Physics, The: A Tutorial For Graduate Students And Young Researchers

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Publisher : World Scientific
ISBN 13 : 9813226102
Total Pages : 580 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis State Of The Art Of Neutrino Physics, The: A Tutorial For Graduate Students And Young Researchers by : Ereditato Antonio

Download or read book State Of The Art Of Neutrino Physics, The: A Tutorial For Graduate Students And Young Researchers written by Ereditato Antonio and published by World Scientific. This book was released on 2018-03-22 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The neutrino is the most fascinating elementary particle due to its elusive nature and outstanding properties that have attracted the interest of generations of physicists since 1930, when it was first postulated by Wolfgang Pauli as a "desperate remedy" to explain the apparent energy violation in the beta decay. Many fundamental discoveries in particle physics had the neutrino involved in one way or another. To date, neutrino physics is still one of the hottest topics of modern particle physics. Key experiments and significant theoretical developments have contributed in building up what we can call now the Standard Model of Neutrino Physics. The aim of the book is to provide graduate students and young researchers a comprehensive tutorial in modern neutrino physics, specially tailored with emphasis on the educational aspects. It provides an overview of the basics and of recent achievements in the field, from both experimental and theoretical points of view. Contents: Preface A Brief History of Neutrino (A Bettini) Introduction to the Formalism of Neutrino Oscillations (G Fantini, A G Rosso, V Zema and F Vissani) Neutrino Oscillation Detectors and Methods (D Autiero) Solar Neutrinos and Matter Effects (A Y Smirnov) Atmospheric Neutrinos (K Okumura) Probing the Atmospheric Sector with Accelerator Experiments (C Pistillo and C Wilkinson) The Measurement of θ₁₃ with Reactors and Accelerators (F Di Lodovico) Neutrinos from Supernovae and Other Astrophysical Sources (K Scholberg) High-Energy Astrophysical Neutrinos (F Halzen) Sterile Neutrinos: An Introduction to Experiments (J Conrad and M Shaevitz) Dirac and Majorana Neutrinos, Double Beta Decay (J-L Vuilleumier) Low-Energy Neutrino Interactions (A M Szelc) Theory and Phenomenology of Mass Ordering and CP Violation (P Coloma and S Pascoli) Beyond the Neutrino Standard Model (J D Lykken) Readership: Students and researchers interested in high energy physics and/or astrophysics. Keywords: Neutrino;Neutrino Masses;Neutrino Oscillations;Neutrino Properties;Neutrino Sources;Neutrino Detectors;Massive NeutrinosReview: Key Features: Mix of tutorial and review articles Comprehensive review of the main aspects in one single book The various topical chapters are written by experts in the field

Gamow Shell Model

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Publisher : Springer Nature
ISBN 13 : 3030693562
Total Pages : 514 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Gamow Shell Model by : Nicolas Michel

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.

From Nucleons to Nucleus

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Publisher : Springer Science & Business Media
ISBN 13 : 3540488618
Total Pages : 648 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis From Nucleons to Nucleus by : Jouni Suhonen

Download or read book From Nucleons to Nucleus written by Jouni Suhonen and published by Springer Science & Business Media. This book was released on 2007-04-22 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Nucleons to Nucleus deals with single-particle and collective features of spherical nuclei. Each nuclear model is introduced and derived in detail. The formalism is then applied to light and medium-heavy nuclei in worked-out examples, and finally the acquired skills are strengthened by a wide selection of exercises, many relating the models to experimental data. Nuclear properties are discussed using particles, holes and quasi-particles. From Nucleons to Nucleus is based on lectures on nuclear physics given by the author, and serves well as a textbook for advanced students. Researchers too will appreciate it as a well-balanced reference to theoretical nuclear physics.