Precision dispersive approaches versus unitarized chiral perturbation theory for the lightest scalar resonances sigma/f(0)(500) and kappa/K*(0)(700)

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Peláez Sagredo, José Ramón and Rodas, Arkaitz and Ruiz de Elvira Carrascal, Jacobo (2021) Precision dispersive approaches versus unitarized chiral perturbation theory for the lightest scalar resonances sigma/f(0)(500) and kappa/K*(0)(700). European physical journal-Special topics, 230 . ISSN 1951-6355

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Official URL: http://dx.doi.org/10.1140/epjs/s11734-021-00142-9




Abstract

For several decades, the sigma/f(0)(500) and kappa/K*(0)(700) resonances have been subject to long-standing debate. Both their existence and properties were controversial until very recently. In this tutorial review, we compare model-independent dispersive and analytic techniques versus unitarized Chiral Perturbation Theory, when applied to the lightest scalar mesons sigma/f(0)(500) and kappa/K*(0)(700). Generically, the former have settled the long-standing controversy about the existence of these states, providing a precise determination of their parameters, whereas unitarization of chiral effective theories allows us to understand their nature, spectroscopic classification and dependence on QCD parameters. Here we review in a pedagogical way their uses, advantages and caveats.


Item Type:Article
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© 2021 Springer Heidelberg.
We acknowledge J.A. Oller for encouraging us to write a tutorial review on this topic. We thank I. Danilkin for his corrections on the manuscript. This project has received funding from the Spanish Ministerio de Ciencia e Innovacion grant PID2019-106080GB-C21 and the European Union's Horizon 2020 research and innovation program under grant agreement No 824093 (STRONG2020). AR acknowledges the financial support of the U.S. Department of Energy contract DE-SC0018416 at William & Mary, and contract DE-AC05-06OR23177, under which Jefferson Science Associates, LLC, manages and operates Jefferson Lab. JRE acknowledges financial support from the Swiss National Science Foundation under Project No. PZ00P2174228.

Uncontrolled Keywords:Pion-pion scattering; Rigorous absolute bounds; Partial-wave amplitudes; Bethe-salpeter approach; Quark-mass dependence; Phase-shift analysis; Large-Nc; Kpi scattering; K(k)over-bar scattering; Production mechanisms.
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:66728
Deposited On:06 Sep 2021 11:13
Last Modified:06 Sep 2021 11:13

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