FSI rescattering in B± decays via states with η, η′ ω and φ

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 charmless strange 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 K−η suggests that it might have a large CP violation. A sum rule is derived to test whether the large K−η′ 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′.