Amplitude analysis of $D_s^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^{+}$

Abstract

Utilizing the data set corresponding to an integrated luminosity of $3.19$ fb${}^{-1}$ collected by the BESIII detector at a center-of-mass energy of 4.178 GeV, we perform an amplitude analysis of the $D_s^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^{+}$ decay. The sample contains 13,797 candidates with a signal purity of $\sim$80%. The amplitude and phase of the contributing $\ddot{I}€\ddot{I}€$ $\mathcal{S}$ wave are measured based on a quasi-model-independent approach, along with the amplitudes and phases of the $\mathcal{P}$ and $\mathcal{D}$ waves parametrized by Breit-Wigner models. The fit fractions of different intermediate decay channels are also reported.

14 pages, 6 figures