New Analysis of B→KπB \rightarrow Kπ data with Pauli blocking CP violation in BoB^o decays, not in B±B^{\pm} SU(3) use of B→ππB \rightarrow ππ data invalid for B→KπB \rightarrow Kπ

preprint2011arXivOpen access

Abstract

New data analysis with Pauli blocking explains observation of CP violation in Bo→KπB^o\rightarrow Kπ decays, absence in B±→KπB^{\pm} \rightarrow Kπ decays and gives new predictions agreeing with experiment. Branching ratio data show pure I=1/2 amplitude predicted by pure penguin transitions for separate relations within charged and neutral B decays, but strong violation of penguin I=1/2 isospin relation between charged and neutral decays. B(Bo→K+π−)−2B(Bo→Koπo)=B(B^o \rightarrow K^+ π^-) - 2B(B^o\rightarrow K^o π^o) = %(19.4 \pm 0.6)- 2\cdot (9.4 \pm 0.6) = (0.6 \pm 1.3)\cdot 10^-6 \approx 0 2B(B+→K+πo)−B(B+→Koπ+)=2B(B^+ \rightarrow K^+ π^o) - B(B^+ \rightarrow K^o π^+) = %(25.8\pm 1.2) - (23.1 \pm 1.0) = (2.7 \pm 1.6)\cdot 10^-6 \approx 0 τoτ+⋅2B(B+→K+πo)−B(Bo→K+π−)=(4.7±0.82)⋅10−6≠0{{τ^o}\over{τ^+}}\cdot 2B(B^+ \rightarrow K^+ π^o) - B(B^o \rightarrow K^+ π^-) = (4.7 \pm 0.82)\cdot 10^-6 \not= 0 This contrast between pure I=1/2 observed in individual charged and neutral final states and I=1/2 violation in relations between them is unexpected in previous treatments. Pauli blocking predicts this contrast by noting that two identical uu quarks in a relative s-wave are Pauli blocked. Tree diagram bˉ→sˉuuˉ\bar b\rightarrow \bar s u \bar u for bˉ\bar b producing uu quark at weak vertex and tree-penguin interference producing CP violation are Pauli suppressed for B+B^+ decays with identical uu quark spectator. No suppression in BoB^o decays with spectator dd quark. B→KπB\rightarrow Kπ data analysis discards all amplitudes containing two identical uu quarks in final state and predicts observed isospin relations by using only Pauli-favored amplitudes Bu→sˉdudˉ{B_u}\rightarrow \bar s du \bar d and Bd→sˉuduˉ{B_d}\rightarrow \bar s ud \bar u. Pauli-favored transitions explain dependence on flavor of spectator quark which does not participate in the weak interaction.

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