A Novel Model to $D^+ \to K^+ K^- K^+$ decay amplitude

Proceedings of XIV International Conference on Heavy Quarks and Leptons — PoS(HQL2018)(2018)

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Abstract
We propose a novel approach to describe the $D^+\to K^+K^-K^+$ decay amplitude, based on chiral effective Lagrangians, which can be used to extract information about $K\bar{K}$ scattering. Our trial function is an alternative to the widely used isobar model and includes both nonresonant three-body interactions and two-body rescattering amplitudes, based on coupled channels and resonances, for S- and P-waves with isospin $0$ and $1$. The latter are unitarized in the $K$-matrix approximation and represent the only source of complex phases in the problem. This approach allows one to disentangle the two-body scalar contributions with different isospins, associated with the $f_0(980)$ and $a_0(980)$ channels.
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Key words
decay,amplitude,novel model
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