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Theoretical Studies of Hadronic Reactions with Vector Mesons
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Nuclear Physics.
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.
Series
Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology, ISSN 1651-6214 ; 1361
Keyword [en]
Hadron physics, Vector mesons, Effective field theories, Chiral Lagrangian, Meson-meson interactionss
National Category
Subatomic Physics
Research subject
Physics with specialization in Nuclear Physics
Identifiers
URN: urn:nbn:se:uu:diva-281288ISBN: 978-91-554-9532-9 (print)OAI: oai:DiVA.org:uu-281288DiVA: diva2:915750
Public defence
2016-05-19, Polhemsalen, Ångströmlaboratoriet, Lägerhyddsvägen 1, Uppsala, 10:15 (English)
Opponent
Supervisors
Available from: 2016-04-26 Created: 2016-03-22 Last updated: 2016-04-29
List of papers
1. Electromagnetic transitions in an effective chiral Lagrangian with the eta ' and light vector mesons
Open this publication in new window or tab >>Electromagnetic transitions in an effective chiral Lagrangian with the eta ' and light vector mesons
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.

National Category
Natural Sciences
Identifiers
urn:nbn:se:uu:diva-194230 (URN)10.1140/epja/i2012-12190-6 (DOI)000313165300015 ()
Available from: 2013-02-12 Created: 2013-02-11 Last updated: 2017-12-06Bibliographically approved
2. Reactions with pions and vector mesons in the sector of odd intrinsic parity
Open this publication in new window or tab >>Reactions with pions and vector mesons in the sector of odd intrinsic parity
2013 (English)In: European Physical Journal A, ISSN 1434-6001, E-ISSN 1434-601X, Vol. 49, no 9, 116- p.Article in journal (Refereed) Published
Abstract [en]

TheWess-Zumino-Witten structure is supplemented by a simple vector-meson Lagrangian where the vector mesons are described by antisymmetric tensor fields. With the rho-omega-pi coupling as the only parameter in the sector of odd intrinsic parity, i.e. without additional contact terms, one can achieve a proper description of the decay of an omega-meson into three pions, the single-and double-virtual pion transition form factor and the three-pion production in electron-positron collisions.

National Category
Natural Sciences
Identifiers
urn:nbn:se:uu:diva-210237 (URN)10.1140/epja/i2013-13116-6 (DOI)000325258100001 ()
Available from: 2013-11-05 Created: 2013-11-04 Last updated: 2017-12-06Bibliographically approved
3. Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
Open this publication in new window or tab >>Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
2016 (English)In: Physical review D, ISSN 2470-0010, Vol. 94, no 1, 014021Article in journal (Refereed) Published
Abstract [en]

Starting from a relativistic Lagrangian for pseudoscalar Goldstone bosons and vector mesons in the antisymmetric tensor representation, a one-loop calculation is performed to pin down the divergent structures that appear for the effective low-energy action at chiral orders Q(2) and Q(4). The corresponding renormalization-scale dependencies of all low-energy constants up to chiral order Q(4) are determined. Calculations are carried out for both the pseudoscalar octet and the pseudoscalar nonet, the latter in the framework of chiral perturbation theory in the limit of a large number of colors.

National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-281289 (URN)10.1103/PhysRevD.94.014021 (DOI)000380111400003 ()
Available from: 2016-03-22 Created: 2016-03-22 Last updated: 2016-08-17Bibliographically approved
4. Contributions of loops with dynamical vector mesons to masses and decay constants of pseudoscalar mesons and their quark mass dependence
Open this publication in new window or tab >>Contributions of loops with dynamical vector mesons to masses and decay constants of pseudoscalar mesons and their quark mass dependence
(English)Manuscript (preprint) (Other academic)
National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-281893 (URN)
Available from: 2016-03-30 Created: 2016-03-30 Last updated: 2016-04-29

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