Effects of Final-State Interactions in B0→K+K- Decay

Abstract

The decay of the B meson to the K and K− mesons is a pure annihilation decay; for this reason, in the framework of the quantum chromodynamics factorization (QCDF) approach, this decay has a small amplitude and a small branching ratio. In this study, we find that, before the K and K− mesons are produced in the final states, pair mesons such as ππ(ρρ), π+π−(ρ+ρ−), K0K0(K0∗K0∗), D0D0(D0∗D0∗), D s D − s (D +∗ s D −∗ s ), φφ and ρφ are produced. The intermediate-state mesons via the exchange of K+(∗), K0(∗), π−(ρ−), D+(∗) s , D0(∗) and K−(∗) mesons go to the K and K− final-state mesons. However, we calculate the B → K+K− decay in two different frameworks. The first framework is the QCDF method and the second one is the use of the final-state interaction (FSI) effects. The experimental branching ratios of B → K+K− decay are 1.3 and 2.3 × 10−7, and our results obtained by the QCDF method and FSI are 0.11 × 10−7 and 0.09 ∼ 3.21 × 10−7, respectively.