Three-particle Physics And Dispersion Relation Theory PDF Download
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Author: A V Anisovich
Publisher: World Scientific
ISBN: 9814478822
Category : Science
Languages : en
Pages : 342
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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.
Author: A V Anisovich
Publisher: World Scientific
ISBN: 9814478822
Category : Science
Languages : en
Pages : 342
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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.
Author: Hugh Burkhardt
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 310
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Book Description
Author: Nussenzveig
Publisher: Academic Press
ISBN: 0080956041
Category : Mathematics
Languages : en
Pages : 449
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Book Description
Causality and Dispersion Relations
Author: A. G. Sitenko
Publisher: Elsevier
ISBN: 1483186822
Category : Science
Languages : en
Pages : 280
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Book Description
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.
Author: José Antonio Oller
Publisher: Springer
ISBN: 3030135829
Category : Science
Languages : en
Pages : 142
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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.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1292
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Book Description
Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 962
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Book Description
Author: Robert Eugene Marshak
Publisher: John Wiley & Sons
ISBN:
Category : Science
Languages : en
Pages : 792
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Book Description
Author: Joseph M. Harrer
Publisher:
ISBN: 9780870790058
Category : Technology & Engineering
Languages : en
Pages : 1052
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Book Description
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 574
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Book Description
