Amplitude analysis of the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay

Abstract

A Dalitz plot analysis of the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay is presented. The analysis is based on proton-proton collision data recorded by the LHCb experiment at a centre-of-mass energy of $8$ TeV and corresponding to an integrated luminosity of $1.5f{b}^{-1}$. The resonant structure of the decay is obtained using a quasi-model-independent partial-wave analysis, in which the ${\pi }^{+}{\pi }^{-}$ S-wave amplitude is parameterised as a generic complex function determined by a fit to the data. The S-wave component is found to be dominant, followed by the contribution from spin-2 resonances and a small contribution from spin-1 resonances. The latter includes the first observation of the $D_s^{+}\to \omega (782){\pi }^{+}$ channel in the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay. The resonant structures of the $D_s^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ and $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decays are compared, providing information about the mechanisms for the hadron formation in these decays.

arXiv commentAll figures and tables, along with any additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2022-030.html (LHCb public pages)

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