Soft FSI Systematics for charmless strange B± Decays

New results going beyond those obtained from isospin and flavor symmetry and subject to clear experimental tests are obtained for effects of FSI in B decays to final states containing neutral flavor-mixed mesons like ω, φ, η and η. The most general strong-interaction diagrams containing arbitrary numbers of quarks and gluons are included with the assumptions that any qq̄ pair created by gluons must be a flavor singlet, and that there are no hairpin diagrams in which a final meson contains a qq̄ pair from the same gluon vertex. The smallness of Kη suggests that it might have a large CP violation. A sum rule is derived to test whether the large Kη requires the addition of an additional glueball or charm admixture. Further analysis from Ds decay systematics supports this picture of FSI and raises questions about charm admixture in the η. The successful treatment of strong final state interactions involving neutral flavor-mixed mesons has a long history of successes going beyond isospin and flavor SU(3) symmetry back to the Alexander-Frankfurt-Harari-Iizuka-Levin-Okubo-Rosner-Scheck-VenezianoZweig rule [1–4], often abbreviated A...Z or OZI. Its first controversial prediction [1] σ(Kp → Λρ) = σ(Kp → Λω) related final states in completely different isospin and flavor-SU(3) multiplets which would a priori be expected to have completely different final state interactions. The experimental confirmation of this prediction [5] indicates the existence of some dynamical symmetry that goes beyond isospin and flavor SU(3). Our purpose is to identify this symmetry and develop its use to extend the standard isospin [6] and SU(3) [7,8] treatments of B decays to include flavor-mixed final states con-