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Electromagnetic transitions in an effective chiral Lagrangian with the eta ' and light vector mesons
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Nuclear Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Nuclear Physics.
2012 (English)In: European Physical Journal A, ISSN 1434-6001, E-ISSN 1434-601X, Vol. 48, no 12, 190- p.Article in journal (Refereed) Published
Abstract [en]

We consider the chiral Lagrangian with a nonet of Goldstone bosons and a nonet of light vector mesons. The mixing between the pseudoscalar mesons eta and eta' is taken into account. A novel counting scheme is suggested that is based on hadrogenesis, which conjectures a mass gap in the meson spectrum of QCD in the limit of a large number of colors. Such a mass gap would justify to consider the vector mesons and the eta' meson as light degrees of freedom. The complete leading-order Lagrangian is constructed and discussed. As a first application it is tested against electromagnetic transitions of light vector mesons to pseudoscalar mesons. Our parameters are determined by the experimental data on photon decays of the omega, phi and eta' mesons. In terms of such parameters we predict the corresponding decays into virtual photons with either dielectrons or dimuons in the final state.

Place, publisher, year, edition, pages
2012. Vol. 48, no 12, 190- p.
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-194230DOI: 10.1140/epja/i2012-12190-6ISI: 000313165300015OAI: oai:DiVA.org:uu-194230DiVA: diva2:604954
Available from: 2013-02-12 Created: 2013-02-11 Last updated: 2016-04-29Bibliographically approved
In thesis
1. Theoretical Studies of Hadronic Reactions with Vector Mesons
Open this publication in new window or tab >>Theoretical Studies of Hadronic Reactions with Vector Mesons
2016 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Aiming at a systematic inclusion of pseudoscalar and vector mesons as active degrees of freedom in an effective Lagrangian, studies have been performed in this thesis concerning the foundations of such an effective Lagrangian as well as tree-level and beyond-tree-level calculations. Hereby, vector mesons are described by antisymmetric tensor fields.

First, an existing power counting scheme for both pseudoscalar and vector mesons is extended to include the pseudoscalar-meson singlet in a systematic way. Based on this, tree-level calculations are carried out which are in good agreement with the available experimental data and several processes are predicted. In particular, the ω-π0 transition form factor is in better agreement with experimental data than the prediction done in the vector-meson-dominance model. Furthermore, a Lagrangian with vector mesons is used together with the leading contributions of chiral perturbation theory in order to calculate tree-level reactions in the sector of odd intrinsic parity. It turns out that both the Lagrangian with vector mesons and the Lagrangian of chiral perturbation theory are needed to describe experimental data.

Additionally, a feasibility check for one-loop calculations with pseudoscalar and vector mesons in the loop is performed. Thereby, only a limited number of interaction terms in the Lagrangian with vector mesons is used. The results are used to both renormalise the low-energy constants of chiral perturbation theory up to chiral order Q4 and to determine the influence of loops with vector mesons on masses and decay constants of pseudoscalar mesons.

Place, publisher, year, edition, pages
Uppsala: Acta Universitatis Upsaliensis, 2016. 63 p.
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1361
Hadron physics, Vector mesons, Effective field theories, Chiral Lagrangian, Meson-meson interactionss
National Category
Subatomic Physics
Research subject
Physics with specialization in Nuclear Physics
urn:nbn:se:uu:diva-281288 (URN)978-91-554-9532-9 (ISBN)
Public defence
2016-05-19, Polhemsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15 (English)
Available from: 2016-04-26 Created: 2016-03-22 Last updated: 2016-04-29

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Terschlusen, CarlaLeupold, Stefan
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