Mathematical Physics for Nuclear Experiments

Mathematical Physics for Nuclear Experiments
Author: Andrew E. Ekpenyong
Publisher: CRC Press
Total Pages: 268
Release: 2022-01-07
Genre: Science
ISBN: 100046394X

Mathematical Physics for Nuclear Experiments presents an accessible introduction to the mathematical derivations of key equations used in describing and analysing results of typical nuclear physics experiments. Instead of merely showing results and citing texts, crucial equations in nuclear physics such as the Bohr’s classical formula, Bethe’s quantum mechanical formula for energy loss, Poisson, Gaussian and Maxwellian distributions for radioactive decay, and the Fermi function for beta spectrum analysis, among many more, are presented with the mathematical bases of their derivation and with their physical utility. This approach provides readers with a greater connection between the theoretical and experimental sides of nuclear physics. The book also presents connections between well-established results and ongoing research. It also contains figures and tables showing results from the author’s experiments and those of his students to demonstrate experimental outcomes. This is a valuable guide for advanced undergraduates and early graduates studying nuclear instruments and methods, medical and health physics courses as well as experimental particle physics courses. Key features Contains over 500 equations connecting theory with experiments. Presents over 80 examples showing physical intuition and illustrating concepts. Includes 80 exercises, with solutions, showing applications in nuclear and medical physics.

Modern Nuclear Physics

Modern Nuclear Physics
Author: Alexandre Obertelli
Publisher: Springer Nature
Total Pages: 739
Release: 2021-09-25
Genre: Science
ISBN: 9811622892

This textbook is a unique and ambitious primer of nuclear physics, which introduces recent theoretical and experimental progresses starting from basics in fundamental quantum mechanics. The highlight is to offer an overview of nuclear structure phenomena relevant to recent key findings such as unstable halo nuclei, superheavy elements, neutron stars, nucleosynthesis, the standard model, lattice quantum chromodynamics (LQCD), and chiral effective theory. An additional attraction is that general properties of nuclei are comprehensively explained from both the theoretical and experimental viewpoints. The book begins with the conceptual and mathematical basics of quantum mechanics, and goes into the main point of nuclear physics – nuclear structure, radioactive ion beam physics, and nuclear reactions. The last chapters devote interdisciplinary topics in association with astrophysics and particle physics. A number of illustrations and exercises with complete solutions are given. Each chapter is comprehensively written starting from fundamentals to gradually reach modern aspects of nuclear physics with the objective to provide an effective description of the cutting edge in the field.

Introduction to Experimental Particle Physics

Introduction to Experimental Particle Physics
Author: Richard Clinton Fernow
Publisher: Cambridge University Press
Total Pages: 433
Release: 2023-01-31
Genre: Science
ISBN: 1009290088

This 1986 book, reissued as OA, gives a balanced overview of the most important topics in experimental particle physics.

The Quantum Mechanical Few-Body Problem

The Quantum Mechanical Few-Body Problem
Author: W. Glöckle
Publisher: Springer Science & Business Media
Total Pages: 207
Release: 2012-12-06
Genre: Science
ISBN: 3642820816

Few-body systems are both technically relatively simple and physically non trivial enough to test theories quantitatively. For instance the He-atom played historically an important role in verifying predictions of QED. A similar role is contributed nowadays to the three-nucleon system as a testing ground far nuclear dynamics and maybe in the near future to few-quark systems. They are also often the basic building blocks for many-body systems like to some extent nuclei, where the real many-body aspect is not the dominant feature. The presentation of the subject given here is based on lectures held at var ious places in the last ten years. The selection of the topics is certainly subjec tive and influenced by my own research interests. The content of the book is simply organized according to the increasing nu mb er of particles treated. Be cause of its conceptual simplicity single particle motion is very suitable for in troducing the basic elements of scattering theory. Using these elements the two-body system is treated for the specific case of two nucleons, which is of great importance in the study of the nuclear interaction. Great space is devoted to the less trivial few-body system consisting of three particles. Again physical examples are taken solely from nuclear physics. Finally the four particle system is discussed so as to familiarize the reader with the techniques required for the formulations of n-bodies in general.

Lectures on Nuclear Theory

Lectures on Nuclear Theory
Author: Lev Davidovich Landau
Publisher: Courier Corporation
Total Pages: 129
Release: 1993-01-01
Genre: Science
ISBN: 0486675130

"A real jewel of an elementary introduction into the main concepts of nuclear theory . . . should be in the hands of every student." -- Nuclear Physics. This highly regarded volume, based on a series of lectures given by Landau to experimental physicists in Moscow in 1954, offers concise, lucid discussions of a number of the most important underlying concepts of nuclear physics. The authors, both noted Russian physicists, limit their conclusions concerning nuclear structure to those based on experimental data, using only general quantum-mechanical relations. Throughout, the emphasis is on clarity of physical ideas and on the relation of experiments to theoretical interpretation. Among the topics covered are nuclear forces, including the scattering of nucleons by nucleons and by high energies, the independent particle model of nuclear structure, the structure of the nucleus (light nuclei and heavy nuclei), nuclear reactions (including statistical theory, optical model, and deuteron reactions, pi-mesons, and interactions of pi-mesons with nucleons. "Should prove a decidedly worthwhile addition to any experimental nuclear physicist's library. The book will also appeal to the specialist in other fields who desires insight into the problems of nuclear physics, and should be highly recommended to all physics graduate students." -- Physics Today.

Statistics for Nuclear and Particle Physicists

Statistics for Nuclear and Particle Physicists
Author: Louis Lyons
Publisher: Cambridge University Press
Total Pages: 244
Release: 1989-04-06
Genre: Science
ISBN: 1316101630

This book, written by a non-statistician for non-statisticians, emphasises the practical approach to those problems in statistics which arise regularly in data analysis situations in nuclear and high-energy physics experiments. Rather than concentrating on formal proofs of theorems, an abundant use of simple examples illustrates the general ideas which are presented, showing the reader how to obtain the maximum information from the data in the simplest manner. Possible difficulties with the various techniques, and pitfalls to be avoided, are also discussed. Based on a series of lectures given by the author to both students and staff at Oxford, this common-sense approach to statistics will enable nuclear physicists to understand better how to do justice to their data in both analysis and interpretation.

Techniques for Nuclear and Particle Physics Experiments

Techniques for Nuclear and Particle Physics Experiments
Author: William R. Leo
Publisher: Springer Verlag
Total Pages: 0
Release: 1987
Genre: Science
ISBN: 9783540173861

The book is based on a laboratory course in nuclear physics given to advanced students. It treats the experimental techniques and instrumentationmost often used in nuclear and particle physics experiments as well as in various other experimental sciences. It provides most useful results and formulae, technical know-how and informative details on -interactionof radiation in matter; - radion protection and radioactive sources; - statistics for the interpretation and analysis of data; - principles and operation of the main types of detectors (ionization, scintillation and semiconductor detectors); - nuclear electronics instrumentation (NIM, CAMAC); - various systems and techniques for experiments. Thanks to the author's long teaching experience the material is presented in a verypractical, hands-on way making the book a useful text and lab companion for students and experienced scientists.

Quantum Mechanics in Potential Representation and Applications

Quantum Mechanics in Potential Representation and Applications
Author: Arvydas Juozapas Janavicius
Publisher: World Scientific Publishing Company
Total Pages: 317
Release: 2020-07-15
Genre: Science
ISBN: 9789811216657

This book is written with a focus on new mathematical methods and physical modeling that lay the groundwork for an interpretation to various experimental results and phenomena in nuclear physics, quantum mechanics, and particle physics. Summarized in three parts, the main topics of the book are as follows. The first part importantly addresses scattering theory and nuclear reactions, with the usage of new potential representation method. This perturbation method offers the wave function as a product of the free particle solution and a function which depends on the interaction potential, allowing handy analytical expressions and integral equations for finding scattering matrices. It is highly applicable to the study of scattering and absorption of neutrons in atomic reactors, as well as the interactions between protons and nuclei by scattering processes in, for example, cyclotrons. The second part of the book concerns the perturbation method by variation of free constants and the semi-relativistic shell model of heavy nuclei in order to understand their stability. The last part is then furnished with the semi-relativistic model of mesons and relates to the binding energies of quarks in charm and bottom mesons. This book would be a valuable resource for students and researchers on new mathematical methods in the theoretical unravelling of experiments concerning nuclei and mesons, nuclear reactors, radioactive isotopes, particle accelerators, new materials in electronics and healthcare products, as well as other practical applications of nuclear physics and quantum mechanics.