Abstract

Final-state interaction effects in charmless B ¯ u , d , s → P P decays are studied. Our main results are as follows: (i) Theoretical results are in agreement with data in the presence of FSI. (ii) The B ¯ → π + π − and π 0 π 0 decay rates are suppressed and enhanced respectively by FSI. (iii) The FSI has large impact on direct CP asymmetries ( A ) of many modes. (iv) The deviation( Δ A ) between A ( B ¯ 0 → K − π + ) and A ( B − → K − π 0 ) can be understood in the FSI approach. (v) Sizable and complex color-suppressed tree amplitudes, which are crucial for the large π 0 π 0 rate and Δ A , are generated through exchange rescattering. (vi) The B − → π − π 0 direct CP violation is very small and is not affected by FSI. (vii) Several B ¯ s decay rates are enhanced. (viii) Time-dependent CP asymmetries S in B ¯ d , s decays are studied. The Δ S ( B ¯ 0 → K S η ′ ) is very small ( ⩽ 1 % ). We found that the asymmetries | S | for B ¯ s 0 → η η , η η ′ and η ′ η ′ decays are all below 0.06.

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