We report a measurement of the amplitude ratio rS of B0 → D0K∗0 and B0 → D¯0K∗0 decays with a Dalitz analysis of D → K0 Sπ+π− decays, for the first time using a model-independent method. We set an upper limit rS < 0.87 at the 68% confidence level, using the full data sample of 711 fb−1 corresponding to 772 × 106 BB¯ pairs collected at the ϒ(4S) resonance with the Belle detector at the KEKB e+e− collider. This result is obtained from observables x− = +0.4+1.0+0.0 −0.6−0.1 ± 0.0, y− = −0.6+0.8+0.1 −1.0−0.0 ± 0.1, x+ = +0.1+0.7+0.0 −0.4−0.1 ± 0.1, and y+ = +0.3+0.5+0.0 −0.8−0.1 ± 0.1, where x± = rS cos(δS ± φ3), y± = rS sin(δS ± φ3), and φ3 (δS) is the weak (strong) phase difference between B0 → D0K∗0 and B0 → D¯0K∗0.
Progress of Theoretical and Experimental Physics
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