Final-state rescattering and SU(3) symmetry breaking in and decaysZ.-Z. Xing1, 2
1 CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, P.R. China
2 Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918 (4), Beijing 100039, P.R. China (Mailing address)
(Received: 26 January 2003 / Revised version: 31 January 2003 / Published online: 7 March 2003 )
The first observation of the and transitions by the Belle Collaboration allows us to do a complete isospin analysis of the decay modes. We find that their respective isospin phase shifts are very likely to lie in the ranges (or around ) and (or around ), although the possibility cannot be ruled out at present. Thus significant final-state rescattering effects possibly exist in such exclusive processes. We determine the spectator and color-suppressed spectator quark-diagram amplitudes of the and decays, and compare them with the corresponding quark-diagram amplitudes of the and decays. The effects of SU(3) flavor symmetry breaking are in most cases understandable in the factorization approximation, which works for the individual isospin amplitudes. Very instructive predictions are also obtained for the branching fractions of rare , and transitions.
© Società Italiana di Fisica, Springer-Verlag 2003