The decays \bar{B}->\bar{K}D and \bar{B}-> \bar{K}\bar{D} and final state interactions

Abstract

The decays \bar{B}-> \bar{K}D and \bar{B}-> \bar{K}\bar{D} taking into account final state interactions are discussed. These decays are described by four strong phases \delta_0,\delta_1,\bar{\delta}_0,\bar{\delta}_1 (subscripts 0 and 1 refers to I=0 and I=1 final states), one weak phase \gamma and four real amplitudes. It is argued that strong interaction dynamics implies \bar{\delta}_1=0,\delta_0=-\delta_1. Rescattering has significant effects on weak amplitudes. Taking into account, rescattering, we find that direct CP--violating asymmetry in these decays may lie in the range \mp 0.023\sin \gamma \leq \QTR{cal}{A}_{1,2}\leq \mp 0.086\sin \gamma.