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A brief introduction to dispersion r...

Oller, Jose Antonio.

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A brief introduction to dispersion relations = with modern applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	A brief introduction to dispersion relations/ by Jose Antonio Oller.
Reminder of title:	with modern applications /
Author:	Oller, Jose Antonio.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 141 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications.
Contained By:	Springer eBooks
Subject:	Dispersion relations. -
Online resource:	https://doi.org/10.1007/978-3-030-13582-9
ISBN:	9783030135829

A brief introduction to dispersion relations = with modern applications /
Oller, Jose Antonio.

A brief introduction to dispersion relationswith modern applications /[electronic resource] :by Jose Antonio Oller. - Cham :Springer International Publishing :2019. - viii, 141 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications.

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.

ISBN: 9783030135829

Standard No.: 10.1007/978-3-030-13582-9doiSubjects--Topical Terms:

1636635
Dispersion relations.

LC Class. No.: QC794

Dewey Class. No.: 539.75

A brief introduction to dispersion relations = with modern applications /
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245 1 2 $a A brief introduction to dispersion relations $h [electronic resource] : $b with modern applications / $c by Jose Antonio Oller.
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490 1 $a SpringerBriefs in physics, $x 2191-5423
505 0 $a Preface -- Basics on dispersion relations -- Two-body scattering amplitudes with applications -- Final-state interactions with applications.
520 $a 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.
650 0 $a Dispersion relations. $3 1636635
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