Multi-Meson Model for D+ --> K^+K^-K°+ the decay amplitude

by Patricia Magalhaes (TUM)

Monday 16 Apr 2018, 14:15 → 16:45 Europe/Berlin

3344 (TUM - Physics Department - Garching)

Matrix elements of weak currents involving light multi-meson states are important in many hadronic decays of both leptons and heavy mesons. The isobar model, widely used for describing heavy-meson decays into three pseudoscalars, assumes that these processes are dominated by spectator-resonance intermediate states, but also includes non-resonant contributions. It yields guess functions which include free phases, to be obtained by fitting data displayed in Dalitz plots. However, the question arises as to whether the parameters obtained in the case of a successful fit have meanings, which go beyond the reproduction of a particular set of experimental data. In particular, can they be used to shed light into yet unknown two-body processes, especially those concerning kaons. Can they yield reliable information about scattering amplitudes.         
On general grounds, there is no simple connection between a heavy-meson decay amplitude
and two-body scattering amplitudes involving the same particles. The main purpose of this work is disclose important information about the dynamics of  $K\bar{K}$ interactions by disentangling the two-body contribution from a  D^+ --> K^+ K^- K^+  amplitude. In order to do so, we suggest a new approach based on effective Lagrangians as an alternative to the isobar model and apply it to the D^+ --> K^+ K^- K^+  decay.