Effects of final-state interactions in B ~0 → K ~+K ~- decay

摘要

The decay of the B ~0 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 π ~0π ~0(ρ ~0ρ ~0), π ~+π ~-(ρ ~+ρ ~-), K ~0 K ~0(K ~(0*) K ~(0*)), D ~0 D ~0(D ~(0*) D ~(0*)), D ~+ _s D ~- _s (D ~(+*) _s D ~(-*) _s), φφ and ρ ~0φ are produced. The intermediate-state mesons via the exchange of K ~+(~*), K ~0(~*), p ~-(ρ ~-), D ~+(~*) _s, D ~0(~*) and K ~-(~*) mesons go to the K ~+ and K ~- final-state mesons. However, we calculate the B ~0 → 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 ~0 → 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.