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We propose a novel approach to describe the $D^+\to K^+K^-K^+$ decayamplitude, based on chiral effective Lagrangians, which can be used to extractinformation about $K\bar{K}$ scattering. Our trial function is an alternativeto the widely used isobar model and includes both nonresonant three-bodyinteractions and two-body rescattering amplitudes, based on coupled channelsand resonances, for S- and P-waves with isospin $0$ and $1$. The latter areunitarized in the $K$-matrix approximation and represent the only source ofcomplex phases in the problem. Free parameters are just resonance masses andcoupling constants, with transparent physical meanings. The nonresonantcomponent, given by chiral symmetry as a real polynomium, is an importantprediction of the model, which goes beyond the (2+1) approximation. Ourapproach allows one to disentangle the two-body scalar contributions withdifferent isospins, associated with the $f_0(980)$ and $a_0(980)$ channels. Weshow how the $K\bar{K}$ amplitude can be obtained from the decay $D^+\toK^+K^-K^+$ and discuss extensions to other three-body final states.

Multi-Meson Model for the $D^+\to K^+K^-K^+$ decay amplitude