Isospin breaking and f0(980)-a0(980) mixing in the η(1405) → π0f0(980) reaction
1 Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptdo. 22085, 46071 Valencia, Spain
2 Physics Department, Guangxi Normal University, Guilin 541004, China
3 Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
4 State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
5 Theoretical Physics Center for Science Facilities, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
Published online: 9 June 2014
We make a theoretical study of the η(1405) → π0f0(980) and η(1405) → π0a0(980) reactions to determine the isospin violation and the mixing of the f0(980) and a0(980) resonances. We make use of the chiral unitary approach where these two resonances appear as dynamically generated by the meson-meson interaction provided by chiral Lagrangians. We obtain a very narrow shape for the f0(980) production in agreement with a BES experiment. As to the amount of isospin violation, assuming constant vertices for the primary η(1405) → π0KK̅ and η(1405) → π0π0η production, we find results which are much smaller than found in the experimental BES paper. The problem is solved by using the primary production driven by η' → K*K̅ followed by K∗→ Kπ. Thus, we can predict absolute values for the ratio Γ(π0,π+π−)/Γ(π0,π0η) which are in fair agreement with experiment.
© Owned by the authors, published by EDP Sciences, 2014
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