Unitarization Technics in Hadron Physics with Historical Remarks

We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, <i>K&...

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Bibliographic Details
Main Author: José Antonio Oller
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/7/1114
Description
Summary:We review a series of unitarization techniques that have been used during the last decades, many of them in connection with the advent and development of current algebra and later of Chiral Perturbation Theory. Several methods are discussed like the generalized effective-range expansion, <i>K</i>-matrix approach, Inverse Amplitude Method, Padé approximants and the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>N</mi> <mo>/</mo> <mi>D</mi> </mrow> </semantics> </math> </inline-formula> method. More details are given for the latter though. We also consider how to implement them in order to correct by final-state interactions. In connection with this some other methods are also introduced like the expansion of the inverse of the form factor, the Omnés solution, generalization to coupled channels and the Khuri-Treiman formalism, among others.
ISSN:2073-8994