Measurements of the absolute branching fractions of hadronic $D$-meson decays involving kaons and pions

Abstract

By analyzing an electron-positron collision data sample corresponding to an integrated luminosity of $2.93\mathrm{f}{\mathrm{b}}^{-1}$ taken at the center-of-mass energy of 3.773 GeV with the BESIII detector, we obtain for the first time the absolute branching fractions for seven $D^0$ and $D^{+}$ hadronic decay modes and search for the hadronic decay $D^0\to K_S^0{K}_S^0\ddot{I}{€}^0$ with much improved sensitivity. The results are $\mathcal{B}(D^0\to K_S^0\ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{€}^0)=(7.64\pm 0.30\pm 0.29)\times 10^{-3}$, $\mathcal{B}(D^0\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{€}^0)=(9.54\pm 0.30\pm 0.31)\times 10^{-3}$, $\mathcal{B}(D^0\to K_S^0\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0\ddot{I}{€}^0)=(12.66\pm 0.45\pm 0.43)\times 10^{-3}$, $\mathcal{B}(D^{+}\to K_S^0\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0)=(29.04\pm 0.62\pm 0.87)\times 10^{-3}$, $\mathcal{B}(D^{+}\to K_S^0\ddot{I}{€}^{+}\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0)=(15.28\pm 0.57\pm 0.60)\times 10^{-3}$, $\mathcal{B}(D^{+}\to K_S^0\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{€}^0)=(5.54\pm 0.44\pm 0.32)\times 10^{-3}$, $\mathcal{B}(D^{+}\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0)=(4.95\pm 0.26\pm 0.19)\times 10^{-3}$, $\mathcal{B}(D^0\to K_S^0{K}_S^0\ddot{I}{€}^0)<1.57\times 10^{-4}$ at the 90\% confidence level. Here the first uncertainties are statistical and the second ones systematic. The newly studied decays greatly enrich the knowledge of the $D\to \bar{K}\ddot{I}€\ddot{I}€\ddot{I}€$ and $D\to \bar{K}\ddot{I}€\ddot{I}€\ddot{I}€\ddot{I}€$ hadronic decays, and open a bridge to access more two-body hadronic $D$ decays containing scalar, vector, axial and tensor mesons in the charm sector.

12 pages, 7 figures, 3 tables