Author: J. D. JacksonPublisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 63
Book Description
Introduction to Dispersion Relation Techniques
Author: J. D. JacksonPublisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 63
Book Description
A Brief Introduction to Dispersion Relations
Author: José Antonio OllerPublisher: Springer
ISBN: 3030135829
Category : Science
Languages : en
Pages : 142
Book Description
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.
Lectures on an Introduction to Dispersion Relation Techniques
Author: Paul RomanPublisher:
ISBN:
Category : Dispersion relations
Languages : en
Pages : 382
Book Description
Introduction to Dispersion Techniques in Field Theory
Author: Gabriel BartonPublisher:
ISBN:
Category : Science
Languages : en
Pages : 264
Book Description
Notes added in proof
Dispersion Relations and Causal Description
Author: Jan HilgevoordPublisher:
ISBN:
Category : Causation
Languages : en
Pages : 154
Book Description
Three-particle Physics And Dispersion Relation Theory
Author: A V AnisovichPublisher: World Scientific
ISBN: 9814478822
Category : Science
Languages : en
Pages : 342
Book Description
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.
Dispersion Relations
Author: G. R. ScreatonPublisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 314
Book Description
Lectures on an introduction to dispersion relation techniques
Author: Paul RomanDispersion relations and causal description: An introduction to dispersion relations in field theory
Author: Jan HilgevoordIntroduction to the Theory and Application of Dispersion Relations
Author: Marvin L. GoldbergerPublisher:
ISBN:
Category : Dispersion
Languages : en
Pages : 141
Book Description