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This book is a compilation of the latest theoretical methods for treating models in nuclear reactions. Initial chapters in this volume explain different aspects of time-dependent nuclear density functional theory, such as numerical calculations, density constrained models, multinucleon transfer reactions, and superfluid time dependent density functional theory. In addition, the volume also presents chapters covering other topics in nuclear physics, such as quantum molecular dynamics, cluster models in stable and unstable nuclei, chain structure theory in light nuclei, many-body systems and more. The volume is intended as a guidebook for graduate students and researchers to understand recent theories used in applied nuclear particle physics and astrology.
Until the publication of the first edition of Introduction to Nuclear Reactions in 2004, an introductory reference on nuclear reactions had been unavailable. Now, fully updated throughout, this second edition continues to provide an authoritative overview of nuclear reactions. It discusses the main formalisms, ranging from basic laws to the final formulae used in academic research to calculate measurable quantities. Well known in their fields, the authors begin with a basic introduction to elements of scattering theory followed by a study of its applications to specific nuclear reactions. Early chapters give a framework of compound nucleus formation and its decay, fusion, fission, and direct reactions, that can be easily understood by the novice. These chapters also serve as prototypes for applications of the underlying physical ideas presented in previous chapters. The largest section of the book comprises the physical models that have been developed to account for the various aspects of nuclear reaction phenomena, including reactions in stellar environments, cosmic rays, and during the big bang. The final chapters survey applications of the eikonal wavefunction and of nuclear transport equations to nuclear reactions at high energies. By combining a thorough theoretical approach with applications to recent experimental data, Introduction to Nuclear Reactions helps you understand the results of experimental measurements rather than describe how they are made. A clear treatment of the topics and coherent organization make this information understandable to students and professionals with a solid foundation in physics as well as to those with a more general science and technology background. Features: Analyses in detail different models of the nucleus and discusses their interrelations. Fully updated throughout, with new sections and additional discussions on stellar evolution, big bang nucleosynthesis, neutron stars and relativistic heavy ion collisions. Discusses the latest developments in nuclear reaction theory and experiments and explores both direct reaction theories and heavy ion reactions, which are newly important to nuclear physics in reactions with rare nuclear isotopes.
The book presents an extended version of the lecture course on the theory of nuclear reactions that has been given by the author for some years in Kiev State University. An account is given of the nonrelativistic nuclear reaction theory. The R — matrix description of nuclear reactions is considered and the dispersion method is formulated. Mechanisms of nuclear reactions and their relationship are studied in detail. Attention is paid to nuclear reactions involving the compound nuclear formation and to direct nuclear processes. The optical model, the diffraction approach and high — energy diffraction nuclear processes involving composite particles are discussed. It also deals with some problems treated only in special journal papers.
Nuclear Reactions deals with the mechanisms of nuclear reactions and covers topics ranging from quantum mechanics and the compound nucleus to the optical model, nuclear structure and nuclear forces, and direct interactions. The structure of the atomic nucleus and capture of slow neutrons are also discussed, along with nuclear reactions at high energies, neutron capture and nuclear constitution, and elastic and inelastic diffraction scattering. This book is comprised of 17 chapters and begins with an overview of early successes and difficulties experienced by nuclear physics as a discipline, paying particular attention to early applications of quantum mechanics and reactions with neutrons. The next chapter explores the compound nuclear and considers the theory of Breit and Wigner, resonances in nuclear reactions, and the statistical model or compound nucleus model. The reader is methodically introduced to the optical model and elastic scattering experiments; nuclear structure and nuclear forces; and direct interactions. The remaining chapters look at the theory of the effect of resonance levels on artificial disintegration; fluctuations of nuclear reaction widths; scattering of high-energy neutrons by nuclei; and regularities in the total cross-sections for fast neutrons. This monograph will be a useful resource for nuclear scientists and physicists as well as undergraduate students who have taken a first course in quantum mechanics.
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.
The channel component state form of the channel coupling array theory of many-body scattering is briefly reviewed. These states obey a non-hermitian matrix equation whose exact solution yields the Schroedinger eigenstates, eigenvalues and scattering amplitudes. A time-dependent formulation of the theory is introduced in analogy to the time-dependent Schrodinger equation and several consequences of the development are noted. These include an interaction picture, a single (matrix) S operator, and the usual connection between the t = 0 time-dependent and the time-independent scattering states. Finally, the channel component states (psi/sub j/) are shown to have the useful property that only psi/sub j/ has (two-body) outgoing waves in channel j: psi/sub m/, m not equal to j, is asymptotically zero in two-body channel j. This formalism is then considered as a means for direct nuclear reaction analysis. Typical bound state approximations are introduced and it is shown that a DWBA amplitude occurs in only one channel. The non-time-reversal invariance of the approximate theory is noted. Results of calculations based on a realistic model for two sets of light-ion induced, one-particle transfer reactions are discussed and compared with the coupled reaction channel (CRC) results using the CRC procedure of Cotanch and Vincent. Angular distributions for the two calculational methods are found to be similar in shape and magnitude. Higher ordercorrections are small as are time-reversal non-invariant effects. Post- and prior-type CRC calculations are seen to differ; the latter are closer to the full CRC results.
Describes how the processes in stars which produce the chemical elements for planets and life may be reproduced in laboratories.