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A Brief Introduction to Dispersion R...
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Oller, José Antonio.
A Brief Introduction to Dispersion Relations = With Modern Applications /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A Brief Introduction to Dispersion Relations/ by José Antonio Oller.
其他題名:
With Modern Applications /
作者:
Oller, José Antonio.
面頁冊數:
VIII, 141 p. 10 illus., 1 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Nuclear physics. -
電子資源:
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 Relations
With 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 /
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