國立虎尾科技大學 |

A Brief Introduction to Dispersion Relations = With Modern Applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A Brief Introduction to Dispersion Relations/ by José Antonio Oller.
Reminder of title:	With Modern Applications /
Author:	Oller, José Antonio.
Description:	VIII, 141 p. 10 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Nuclear physics. -
Online resource:	https://doi.org/10.1007/978-3-030-13582-9
ISBN:	9783030135829

A Brief Introduction to Dispersion Relations = With Modern Applications /
Oller, José Antonio.

A Brief Introduction to Dispersion RelationsWith Modern Applications /[electronic resource] :by José Antonio Oller. - 1st ed. 2019. - VIII, 141 p. 10 illus., 1 illus. in color.online resource. - 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:

591618
Nuclear physics.

LC Class. No.: QC770-798

Dewey Class. No.: 539.7092

A Brief Introduction to Dispersion Relations = With Modern Applications /
LDR:03072nam a22004095i 4500 001 1006394
003 DE-He213
005 20200703111434.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030135829 $9 978-3-030-13582-9
024 7 $a 10.1007/978-3-030-13582-9 $2 doi
035 $a 978-3-030-13582-9
050 4 $a QC770-798
050 4 $a QC702.7.H42
072 7 $a PHM $2 bicssc
072 7 $a SCI051000 $2 bisacsh
072 7 $a PHM $2 thema
082 0 4 $a 539.7092 $2 23
100 1 $a Oller, José Antonio. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1299932
245 1 2 $a A Brief Introduction to Dispersion Relations $h [electronic resource] : $b With Modern Applications / $c by José Antonio Oller.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a VIII, 141 p. 10 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Nuclear physics. $3 591618
650 0 $a Heavy ions. $3 786798
650 0 $a Physics. $3 564049
650 0 $a Elementary particles (Physics). $3 1254811
650 0 $a Quantum field theory. $3 579915
650 1 4 $a Nuclear Physics, Heavy Ions, Hadrons. $3 672685
650 2 4 $a Mathematical Methods in Physics. $3 670749
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 672693
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030135812
776 0 8 $i Printed edition: $z 9783030135836
830 0 $a SpringerBriefs in Physics, $x 2191-5423 $3 1253586
856 4 0 $u https://doi.org/10.1007/978-3-030-13582-9
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)