Final State Interaction in Heavy Hadron Decay

Though nothing is known for B → ππ,Kπ,KK, we might conjecture that the FSI phases diminish as the initial mass increases. Meanwhile the relative FSI phase is known for the ggg and ”γ” decay amplitudes of the J/ψ decays: 3 ∆δ ≈ 90 and 75 for J/ψ → 00 and 01, respectively. Therefore, if the FSI phases diminish with the increasing initial mass, it should start diminishing somewhere between mJ/ψ and mB or at higher energies. Can we argue that short-distance (SD) QCD should dominate 4 in the FSI of B meson decays ? I am skeptical. Take the spectator decay B(bu) → K(sd)π(du). K is formed with energetic s and d flying away colinearly, while d picks up the soft spectator u to form π. The gluons exchanged between d and s (or d) are hard. But the gluons between the soft spectator u and s (or d) are not so hard. The CM energy of the u and s (or d) grows only with √ mb, not linearly inmb. By simple kinematics,mdu ≈ (ΛQCDmb) ≃1.2 GeV for Eu ≃ ΛQCD, which is in the middle of the resonance region of the sd