Measurement of the amplitude ratio of $B^0 \to D^0K^*0$ and $B^0 \to \bar{D}^0K^*0$ decays with a model-independent Dalitz plot analysis using $D\to K_S^0\pi^+\pi^-$ decays

摘要: We report a measurement of the amplitude ratio rS of B0→D0K∗0 and B0→D0¯K∗0 decays with a model-independent Dalitz plot analysis using D→K0Sπ+π− decays. Using the full data sample of 772×106 BB¯ pairs collected at the Υ(4S) resonance with the Belle detector at KEKB accelerator the upper limit is rS<0.87 at the 68 % confidence level. This result is the first measurement of rS with a model-independent Dalitz analysis, and is consistent with results from other analyses. The value of rS indicates the sensitivity of the decay to ϕ3 because the statistical uncertainty is proportional to 1/rS. The rS result is obtained from observables (x±, y±) x−y−x+y+,====+0.4+1.0+0.0−0.6−0.1±0.0−0.6+0.8+0.1−1.0−0.0±0.1+0.1+0.7+0.0−0.4−0.1±0.1+0.3+0.5+0.0−0.8−0.1±0.1 where x±=rScos(δS±ϕ3), y±=rSsin(δS±ϕ3) and ϕ3(δS) are the weak (strong) phase difference between B0→D0K∗0 and B0→D0¯K∗0. The first uncertainty is statistical, the second is the experimental systematic and the third is the systematic due to the uncertainties on ci and si parameters measured by CLEO.