Predictions for ηc → ηπ+π− producing f0(500), f0(980) and a0(980)

We perform calculations for the ηc→ηπ+π− decay using elements of SU(3) symmetry to see the weight of different trios of pseudoscalars produced in this decay, prior to the final state interaction of the mesons. After that, the interaction of pairs of mesons, leading finally to ηπ+π−, is done using the chiral unitary approach. We evaluate the π+π− and πη mass distributions and find large and clear signals for f0(500), f0(980) and a0(980) excitation. The reaction is similar to the χc1→ηπ+π−, which has been recently measured at BESIII and its implementation and comparison with these predictions will be very valuable to shed light on the nature of the low mass scalar mesons.