Unitarization Technics in Hadron Physics with Historical Remarks
Abstract
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, K-matrix approach, Inverse Amplitude Method, Padé approximants and the N/D 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.
- Publication:
-
Symmetry
- Pub Date:
- July 2020
- DOI:
- 10.3390/sym12071114
- arXiv:
- arXiv:2005.14417
- Bibcode:
- 2020Symm...12.1114O
- Keywords:
-
- unitarity;
- scattering;
- partial-wave amplitudes;
- final-state interactions;
- analyticity;
- S-matrix theory;
- spectroscopy;
- N/D method;
- left-hand cut;
- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- 45 pages, 2 figures. Invited contribution to a special issue on "Effective Field Theories - Chiral Perturbation Theory and Non-relativistic QFT". Updated to match the published version