Document Type
Article
Date
1-6-2006
Language
English
Disciplines
Physics
Description/Abstract
The radiative decays of the phi meson are known to be a good source of information about the a0(980) and f0(980) scalar mesons. We discuss these decays starting from a non-linear model Lagrangian which maintains the (broken) chiral symmetry for the pseudoscalar (P), scalar (S) and vector (V) nonets involved. The characteristic feature is derivative coupling for the SPP interaction. In an initial approximation which models all the scalar nonet radiative processes together with the help of a point like vertex, it is noted that the derivative coupling prevents the a0 and f0 resonance peaks from getting washed out (by falling phase space). However, the shapes of the two final PP mass distributions do not agree well with the experimental ones. For improving the situation we verify that the inclusion of the charged K meson loop diagrams in the model does reproduce the experimental spectrum shapes in the resonance region. The derivative coupling introduces quadratic as well as logaritmic divergneces in this calculation. Using dimensional regularization we show that these divergences actually cancel out among the four diagrams, as expected from gauge invariance. We point out the features which are expected to be important for further work on this model and for learning more about the puzzling scalar mesons.
Recommended Citation
Schechter, Joseph; Black, Deirdre; and Harada, Masayasu, "Chiral Approach to Phi Radiative Decays" (2006). Physics - All Scholarship. 270.
https://surface.syr.edu/phy/270
Source
Harvested from Arxiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
26 pages, 10 figures, dedicated to celebration of sixtieth birthday of Rafael Sorkin More information available at http://arxiv.org/abs/hep-ph/0601052