Amplitude analysis and branching-fraction measurement of $$ {D}_s^{+}\to {K}_S^0{\pi}^{+}{\pi}^0 $$
M. Ablikim (Institute of High Energy Physics, Beijing, 100049, People’s Republic of China); M. Achasov (Novosibirsk State University, Novosibirsk, 630090, Russia, G.I. Budker Institute of Nuclear Physics SB RAS (BINP), Novosibirsk, 630090, Russia); P. Adlarson (Uppsala University, Uppsala, SE-75120, Sweden); S. Ahmed (Helmholtz Institute Mainz, Staudinger Weg 18, Mainz, D-55099, Germany); M. Albrecht (Bochum Ruhr-University, Bochum, D-44780, Germany); et al - Show all 518 authors
By using 6.32 fb −1 of data collected with the BESIII detector at center-of-mass energies between 4.178 and 4.226 GeV, we perform an amplitude analysis of the decay $$ {D}_s^{+}\to {K}_S^0{\pi}^{+}{\pi}^0 $$ and determine the relative fractions and phase differences of different intermediate processes, which include $$ {K}_S^0\rho $$ (770)+, $$ {K}_S^0\rho $$ (1450)+, K *(892)0 π +, K *(892)+ π 0, and K *(1410)0 π +. With the detection efficiency based on the amplitude analysis results, the absolute branching fraction is measured to be $$ \mathrm{\mathcal{B}}\left({D}_s^{+}\to {K}_S^0{\pi}^{+}\pi 0\right)=\left(5.43\pm {0.30}_{\mathrm{stat}}\pm {0.15}_{\mathrm{syst}}\right)\times {10}^{-3} $$ .
