Amplitude analysis of the decay $\bar{B}^0 \to K_{S}^0 \pi^+ \pi^-$ and first observation of the CP asymmetry in $\bar{B}^0 \to K^{*}(892)^- \pi^+$ (Englisch)

The time-integrated untagged Dalitz plot of the three-body hadronic charmless decay $\bar{B}^0 \to K_{S}^0 \pi^+ \pi^-$ is studied using a pp collision data sample recorded with the LHCb detector, corresponding to an integrated luminosity of 3.0 fb$^{-1}$. The decay amplitude is described with an isobar model. Relative contributions of the isobar amplitudes to the $\bar{B}^0 \to K_{S}^0 \pi^+ \pi^-$ decay branching fraction and CP asymmetries of the flavor-specific amplitudes are measured. The CP asymmetry between the conjugate $\bar{B}^0 \to K^{*}(892)^- \pi^+$ and $B^0 \to K^{*}(892)^+\pi^-$ decay rates is determined to be $-0.308±0.062$.

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