Download or read book Three particle Physics and Dispersion Relation Theory written by A. V. Anisovich and published by World Scientific. This book was released on 2013 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of three-particle processes they are, as a rule, those where other many-particle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book.
Download or read book A Brief Introduction to Dispersion Relations written by José Antonio Oller and published by Springer. This book was released on 2019-03-22 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a brief introduction to the dispersion relations as an approach to calculate S-matrix elements, a formalism that allows one to take advantage of the analytical structure of scattering amplitudes following the basic principles of unitarity and causality. First, the case of two-body scattering is considered and then its contribution to other processes through final-state interactions is discussed. For two-body scattering amplitudes, the general expression for a partial-wave amplitude is derived in the approximation where the crossed channel dynamics is neglected. This is taken as the starting point for many interesting nonperturbative applications, both in the light and heavy quark sector. Subsequently crossed channel dynamics is introduced within the equations for calculating the partial-wave amplitudes. Some applications based on methods that treat crossed-channel dynamics perturbatively are discussed too. The last part of this introductory treatment is dedicated to the further impact of scattering amplitudes on a variety of processes through final-state interactions. Several possible approaches are discussed such as the Muskhelishvili-Omnes dispersive integral equations and other closed formulae. These different formalisms are then applied in particular to the study of resonances presenting a number of challenging properties. The book ends with a chapter illustrating the use of dispersion relations in the nuclear medium for the evaluation of the energy density in nuclear matter.
Download or read book Scattering Theory of Waves and Particles written by R.G. Newton and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much progress has been made in scattering theory since the publication of the first edition of this book fifteen years ago, and it is time to update it. Needless to say, it was impossible to incorporate all areas of new develop ment. Since among the newer books on scattering theory there are three excellent volumes that treat the subject from a much more abstract mathe matical point of view (Lax and Phillips on electromagnetic scattering, Amrein, Jauch and Sinha, and Reed and Simon on quantum scattering), I have refrained from adding material concerning the abundant new mathe matical results on time-dependent formulations of scattering theory. The only exception is Dollard's beautiful "scattering into cones" method that connects the physically intuitive and mathematically clean wave-packet description to experimentally accessible scattering rates in a much more satisfactory manner than the older procedure. Areas that have been substantially augmented are the analysis of the three-dimensional Schrodinger equation for non central potentials (in Chapter 10), the general approach to multiparticle reaction theory (in Chapter 16), the specific treatment of three-particle scattering (in Chapter 17), and inverse scattering (in Chapter 20). The additions to Chapter 16 include an introduction to the two-Hilbert space approach, as well as a derivation of general scattering-rate formulas. Chapter 17 now contains a survey of various approaches to the solution of three-particle problems, as well as a discussion of the Efimov effect.
Download or read book Lectures in Scattering Theory written by A. G. Sitenko and published by Elsevier. This book was released on 2013-10-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures in Scattering Theory discusses problems in quantum mechanics and the principles of the non-relativistic theory of potential scattering. This book describes in detail the properties of the scattering matrix and its connection with physically observable quantities. This text presents a stationary formulation of the scattering problem and the wave functions of a particle found in an external field. This book also examines the analytic properties of the scattering matrix, dispersion relations, complex angular moments, as well as the separable representation of the scattering amplitude. The text also explains the method of factorizing the potential and the two-particle scattering amplitude, based on the Hilbert-Schmidt theorem for symmetric integral equations. In investigating the problem of scattering in a three-particle system, this book notes that the inapplicability of the Lippman-Schwinger equations can be fixed by appropriately re-arranging the equations. Faddeev equations are the new equations formed after such re-arrangements. This book also cites, as an example, the scattering of a spin-1/2 particle by a spinless particle (such as the scattering of a nucleon by a spinless nucleus). This text is suitable for students and professors dealing with quantum mechanics, theoretical nuclear physics, or other fields of advanced physics.
Download or read book Modern Three Hadron Physics written by A.W. Thomas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The model calculations considered here test the DWBA with a wide range of three-body models. Each of the calculations, however, considers only one or two aspects of the accuracy of the DWBA. The lack of overlap of the testing parameters limits the con clusions which can be drawn. This is particularly true with reference to the nucleon core potential where comparable parameters are rarely used. In spite of this limitation, we may make a few observations about the sensitivity of the model cross sections and the mechanism which produces an accurate DWBA. Specifically we may summarize the most important results as follows: 1) In these models the exact DWBA at low energies (E
Download or read book Elementary Particle Physics and Scattering Theory written by Max Chrétien and published by . This book was released on 1970 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dispersion Relation Dynamics written by Hugh Burkhardt and published by . This book was released on 1969 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contributions to the Theory of Weak and Strong Interactions of Elementary Particles written by Vladimir Borisovich Berestet︠s︡kiĭ and published by . This book was released on 1965 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geoffrey Chew Architect Of The Bootstrap written by Lars Brink and published by World Scientific. This book was released on 2021-12-02 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume is dedicated to Geoffrey Chew who passed away on April 12, 2019, at age 94. He is best known as the architect and passionate champion of the bootstrap concept, sometimes called nuclear democracy. His work influenced generations of particle physicists. His passion for physics was an inspiration for his many students and associates. From the Chew-Low theory for meson-nucleon scattering to Analytic S-Matrix, Regge Poles, and Bootstrap principle, his originality left its mark in ways that continue to the present. With contributions from Chew's former collaborators, students, and friends, the book will cover various facets of his life and impact on physics.Contributors include Steven Weinberg, Steven Frautschi, Gabriele Veneziano, Peter Landshoff, Carl Rosenzweig, Basarab Nicolescu, William Frazer, David Gross, John Schwartz, Ling-Lie Chau, Chung-I Tan, Richard Brower, Carleton DeTar, R Shankar, David Kaiser, Fritjof Capra, and others.
Download or read book The Physics of Elementary Particles written by H. Murihead and published by Elsevier. This book was released on 2017-01-19 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Physics of Elementary Particles details the physical principles that govern the behavior of elementary particles. The title focuses on discussing the theoretical concepts of elementary particles. The text first tackles the discovery and classification of the elementary particles, and then proceeds to covering the intrinsic properties of the particles. Chapter 3 talks about the preliminaries to a quantized field theory, while Chapter 4 deals with the quantum theory of non-interacting fields. Next, the selection details the symmetry properties of free fields. The next five chapters are dedicated to covering the interaction of fields. The remaining chapters discuss various forms of interaction, such as electromagnetic, weak, and strong. The book will be of great interest to physicists, particularly those who specialize in quantum mechanics.
Download or read book University Physics written by OpenStax and published by . This book was released on 2016-11-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.
Download or read book Theory of Weak Interactions in Particle Physics written by Robert Eugene Marshak and published by John Wiley & Sons. This book was released on 1969 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rigorous Methods in Particle Physics written by Sorin Ciulli and published by Springer. This book was released on 1990 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses three major topics in mathematical physics: 1. recent rigorous results in potential theory with appli- cations in particle physics, 2. analyticity in quantum field theory and its applica- tions, and 3. fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions.
Download or read book Three particle Scattering in Quantum Mechanics written by John Nuttall and published by . This book was released on 1968 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Quantum Mechanical Three Body Problem written by Erich W. Schmid and published by Elsevier. This book was released on 2017-01-31 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonian for three particles. The chapters that follow are devoted to the Faddeev equations, including those for scattering states and transition operators, and how such equations can be solved in practice. The solution of the Faddeev equations for separable potentials and local potentials is presented, along with the use of Padé approximation to solve the Faddeev equations. This book concludes with an appraisal of variational methods for bound states, elastic and rearrangement scattering, and the breakup reaction. A promising variational method for solving the Faddeev equations is described. This book will be of value to students interested in three-particle physics and to experimentalists who want to understand better how the theoretical data are derived.
Download or read book Particle Physics An Introduction written by M Leon and published by Elsevier. This book was released on 2012-12-02 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle Physics: An Introduction provides information pertinent to particle physics, including symmetries, quantum mechanics, particle kinematics, and wave equations. This book explains the Lorentz transformation, which relates events as seen in two inertial coordinate systems. Comprised of 12 chapters, this book starts with an overview of the general relationship between energy and momentum. This text then explains the various components of the electric and magnetic fields, which are related by Maxwell's equations. Other chapters review the abstract formalism of quantum mechanics as well as explain the functions of cross sections and decay rates in particle physics. This book discusses as well the function of quantum field theory in predicting S-matrix elements and cross sections that can be compared with experiments. The final chapter deals with strong interaction dynamics as well as introduces Regge poles and dispersion relations. Seniors and graduate students involved in the study of physics will find this book extremely useful.
Download or read book CERN Courier written by and published by . This book was released on 2014 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
