Amplitude analysis and branching fraction measurement of the decay D+ → KS0π+π0π0

Using 2.93 fb(-1) of e(+)e(-) collision data collected with the BESIII detector at the center-of-mass energy 3.773 GeV, we perform the first amplitude analysis of the decay D+ -> K-S(0)pi(+)pi(0)pi(0) and determine the relative magnitudes and phases of different intermediate processes. The absolute branching fraction of D+ -> K-S(0)pi(+)pi(0)pi(0) is measured to be (2.888 +/- 0.058(stat.) +/- 0.069(syst.))%. The dominant intermediate processes are D+ -> K(S)(0)a(1)(1260)(+)(-> rho(+)pi(0)) and D+ -> K-*0 rho(+), with branching fractions of (8.66 +/- 1.04(stat.) +/- 1.39(syst.)) x 10(-3) and (9.70 +/- 0.81(stat.) +/- 0.53(syst.)) x 10(-3), respectively.

Automated summary

In this study, using 2.93 fb(-1) of e(+)e(-) collision data collected with the BESIII detector at the center-of-mass energy 3.773 GeV, the first amplitude analysis of the decay process D+ -> K-S(0)pi(+)pi(0)pi(0) was performed. The relative magnitudes and phases of different intermediate processes were determined. The absolute branching fraction of D+ -> K-S(0)pi(+)pi(0)pi(0) was measured and it was found that the dominant intermediate processes are D+ -> K(S)(0)a(1)(1260)(+)(-> rho(+)pi(0)) and D+ -> K-*0 rho(+).