Three Particle Physics And Dispersion Relation Theory
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Three Particle Physics And Dispersion Relation Theory
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Author : A V Anisovich
language : en
Publisher: World Scientific
Release Date : 2013-03-25
Three Particle Physics And Dispersion Relation Theory written by A V Anisovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-25 with Science categories.
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. Contents:IntroductionElements of Dispersion Relation Technique for Two-Body Scattering ReactionsSpectral Integral Equation for the Decay of a Spinless ParticleNon-relativistic Three-Body AmplitudePropagators of Spin Particles and Relativistic Spectral Integral EquationsIsobar Model and Partial Wave Analysis. D-Matrix MethodReggeon-Exchange TechniqueSearching for the Quark–Diquark Systematics of BaryonsConclusion Readership: Grudate students and researchers in high energy and particle physics. Keywords:Two-Particle Systems;Three-Body Systems;Hadrons;Strong Interactions;Dispersion Relations;DiquarksKey Features:Provides a rather complete description of the dispersion relation approachInterconnects different fields to which this technique can be appliedGives an interpretation of recent experimental data
Three Particle Physics And Dispersion Relation Theory
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Author : A. V. Anisovich
language : en
Publisher: World Scientific
Release Date : 2013
Three Particle Physics And Dispersion Relation Theory written by A. V. Anisovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
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.
A Brief Introduction To Dispersion Relations
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Author : José Antonio Oller
language : en
Publisher: Springer
Release Date : 2019-03-22
A Brief Introduction To Dispersion Relations written by José Antonio Oller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-22 with Science categories.
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.
Scattering Theory Of Waves And Particles
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Author : R.G. Newton
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Scattering Theory Of Waves And Particles written by R.G. Newton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Science categories.
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.
Particle Physics An Introduction
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Author : M Leon
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Particle Physics An Introduction written by M Leon and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
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.
Fields And Particles
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Author : Kazuhiko Nishijima
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1969
Fields And Particles written by Kazuhiko Nishijima and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Science categories.
Dispersion Relation Dynamics
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Author : Hugh Burkhardt
language : en
Publisher:
Release Date : 1969
Dispersion Relation Dynamics written by Hugh Burkhardt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Dispersion relations categories.
Lectures In Scattering Theory
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Author : A. G. Sitenko
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Lectures In Scattering Theory written by A. G. Sitenko and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
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.
Contributions To The Theory Of Weak And Strong Interactions Of Elementary Particles
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Author : Vladimir B. Beresteckij
language : en
Publisher:
Release Date : 1965
Contributions To The Theory Of Weak And Strong Interactions Of Elementary Particles written by Vladimir B. Beresteckij and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Nuclear physics categories.
Fields And Particles
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Author : K. Nishijima
language : en
Publisher:
Release Date : 1998-12-01
Fields And Particles written by K. Nishijima and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-01 with categories.