We briefly discuss how the chiral unitary approach in coupled channels and SU(3) symmetry can be used to describe the production of f 0 (500), f 0 (980) and a 0 (980) in the χ c1 → ηπ + π − reaction, recently measured by the BESIII collaboration. In this reaction a very strong peak for the a 0 (980) can be seen in the ηπ invariant mass, while clear signals for the f 0 (500) and f 0 (980) appear in the one of π + π − . Next, we show the predictions made with the same model for the analogous decay η c → ηπ + π − , which could also be measured experimentally. We discuss the differences of these two reactions which are interesting to test the picture where these scalar mesons are dynamically generated from the interaction of pairs of pseudoscalars. Furthermore, we comment on a new recent work where the same model was used to study the a 0 (980) − f 0 (980) mixing in the χ c1 → π 0 π 0 η and χ c1 → π 0 π + π − reactions, showing that quantitative agreement with the experimental measurement of this mixing, also performed by BESIII, can be obtained, revealing interesting aspects of the dynamics of this process and the importance of coupled channels.XVII International Conference on Hadron Spectroscopy and Structure -Hadron2017
Using the Fixed Center Approximation to Faddeev equations we have investigated the DKK and DKK three-body systems, considering that the D * s0 (2317) acts as the heavy cluster in both cases, generated from the DK interaction in isospin 0. For the DKK system we have found evidence of a state with I(J P ) = 1/2(0 − ) and mass about 2833 − 2858 MeV, above the threshold of D * s0 (2317)K. Our results indicate that this state is dominated by a D f 0 (980) component, then it could be searched for in the ππD invariant mass. On the other hand, no clear evidence related to a state from the DKK interaction is found.
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