INFLUENCE OF KAONIC RESONANCES ON THE CP VIOLATION IN B-]K-ASTERISK-GAMMA LIKE PROCESSES

We consider CP violating effects in decays of the type B --> k(i)gamma --> Kpigamma, Kpigamma and Krhogamma, where k(i) represents a strang e meson resonance. We include in our calculations five of the low-lyin g resonances with quantum numbers (J(P)) 1-, 1+ and 2+. At the quark l evel these decays are driven by the penguin graph as well as tree grap hs. CP violation arises in the Standard Model due to the difference in the CKM phase between these graphs. We model the final state interact ion of the hadronic system using the low lying k(i) resonances. Bound state effects are incorporated by using ideas based on the model of Gr instein et al. and also in another bound state model (somewhat similar to the model of Wirbel et al.) which we construct designed to take in to account relativistic effects better. In these models we find that r adiative decays of B mesons give rise to four of the five kaonic reson ances at about 1 to 7% of the inclusive b --> sgamma rate. Furthermore , in both bound state models we find that the probability of formation of the other three higher resonances is roughly the same as that of K (892), which was recently seen at CLEO. In addition to the partial r ate asymmetry which arises due to interference between resonances of t he same quantum numbers, we show how interference between resonances o f the same parity, and also between resonances of the opposite parity, result in two different types of energy asymmetries. CP differential asymmetries at the level of a few percent seem possible. We thus obtai n CP violating distributions which may be observed in a sample of abou t 10(9) B+/- mesons. For concreteness in this paper we deal with only charged B's, neutral B's will be dealt with separately.