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

Abstract

New data analysis with Pauli blocking explains observation of CP violation in $B^o\rightarrow Kπ$ decays, absence in $B^{\pm} \rightarrow Kπ$ 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. $B(B^o \rightarrow K^+ π^-) - 2B(B^o\rightarrow K^o π^o) = %(19.4 \pm 0.6)- 2\cdot (9.4 \pm 0.6) = (0.6 \pm 1.3)\cdot 10^-6 \approx 0$ $2B(B^+ \rightarrow K^+ π^o) - B(B^+ \rightarrow K^o π^+) = %(25.8\pm 1.2) - (23.1 \pm 1.0) = (2.7 \pm 1.6)\cdot 10^-6 \approx 0$ ${{τ^o}\over{τ^+}}\cdot 2B(B^+ \rightarrow K^+ π^o) - B(B^o \rightarrow K^+ π^-) = (4.7 \pm 0.82)\cdot 10^-6 \not= 0$ 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 $u$ quarks in a relative s-wave are Pauli blocked. Tree diagram $\bar b\rightarrow \bar s u \bar u$ for $\bar b$ producing $u$ quark at weak vertex and tree-penguin interference producing CP violation are Pauli suppressed for $B^+$ decays with identical $u$ quark spectator. No suppression in $B^o$ decays with spectator $d$ quark. $B\rightarrow Kπ$ data analysis discards all amplitudes containing two identical $u$ quarks in final state and predicts observed isospin relations by using only Pauli-favored amplitudes ${B_u}\rightarrow \bar s du \bar d$ and ${B_d}\rightarrow \bar s ud \bar u$. Pauli-favored transitions explain dependence on flavor of spectator quark which does not participate in the weak interaction.