Dynamical generation of hadronic resonances in effective models with derivative interactions

Light scalar mesons can be understood as dynamically generated resonances. They arise as 'companion poles' in the propagators of quark-antiquark seed states when accounting for hadronic loop contributions to the self-ene
Light scalar mesons can be understood as dynamically generated resonances. They arise as 'companion poles' in the propagators of quark-antiquark seed states when accounting for hadronic loop contributions to the self-energies of the latter. Such a mechanism may explain the overpopulation in the scalar sector - there exist more resonances with total spin J=0 than can be described within a quark model.
Along this line, we study an effective Lagrangian approach where the isovector state a_{0}(1450) couples via both non-derivative and derivative interactions to pseudoscalar mesons. It is demonstrated that the propagator has two poles: a companion pole corresponding to a_{0}(980) and a pole of the seed state a_{0}(1450). The positions of these poles are in quantitative agreement with experimental data. Besides that, we investigate similar models for the isodoublet state K_{0}^{*}(1430) by performing a fit to pion-kaon phase shift data in the I=1/2, J=0 channel. We show that, in order to fit the data accurately, a companion pole for the K_{0}^{*}(800), that is, the light kappa resonance, is required. A large-N_{c} study confirms that both resonances below 1 GeV are predominantly four-quark states, while the heavy states are quarkonia.
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Metadaten
Author:Thomas Wolkanowski-Gans
URN:urn:nbn:de:hebis:30:3-414141
Publisher:Univ.-Bibliothek
Place of publication:Frankfurt am Main
Referee:Francesco Giacosa, Dirk H. Rischke
Document Type:Doctoral Thesis
Language:English
Year of Completion:2016
Year of first Publication:2016
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Granting Institution:Johann Wolfgang Goethe-Universität
Date of final exam:2016/08/10
Release Date:2016/08/12
Pagenumber:XIX, 105
Note:
Zusammenfassung auf Deutsch
HeBIS PPN:385754116
Institutes:Physik
Dewey Decimal Classification:530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License Logo Veröffentlichungsvertrag für Publikationen

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