2001arXiv (Cornell University)Open access

The decays \bar{B}->\bar{K}D and \bar{B}-> \bar{K}\bar{D} and final state interactions

Fayyazuddin

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Abstract

The decays \bar{B}-> \bar{K}D and \bar{B}-> \bar{K}\bar{D} taking into account final state interactions are discussed. These decays are described by four strong phases δ_0,δ_1,\barδ_0,\barδ_1 (subscripts 0 and 1 refers to I=0 and I=1 final states), one weak phase γand four real amplitudes. It is argued that strong interaction dynamics implies \barδ_1=0,δ_0=-δ_1. Rescattering has significant effects on weak amplitudes. Taking into account, rescattering, we find that direct CP--violating asymmetry in these decays may lie in the range \mp 0.023\sin γ\leq \QTR{cal}{A}_{1,2}\leq \mp 0.086\sin γ.

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The decays \bar{B}-> \bar{K}D and \bar{B}-> \bar{K}\bar{D} taking into account final state interactions are discussed. These decays are described by four strong phases δ_0,δ_1,\barδ_0,\barδ_1 (subscripts 0 and 1 refers to I=0 and I=1 final states), one weak phase γand four real amplitudes. It is argued that strong interaction dynamics implies \barδ_1=0,δ_0=-δ_1. Rescattering has significant effects on weak amplitudes. Taking into account, rescattering, we find that direct CP--violating asymmetry in these decays may lie in the range \mp 0.023\sin γ\leq \QTR{cal}{A}_{1,2}\leq \mp 0.086\sin γ.

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Available abstract

The decays \bar{B}-> \bar{K}D and \bar{B}-> \bar{K}\bar{D} taking into account final state interactions are discussed. These decays are described by four strong phases δ_0,δ_1,\barδ_0,\barδ_1 (subscripts 0 and 1 refers to I=0 and I=1 final states), one weak phase γand four real amplitudes. It is argued that strong interaction dynamics implies \barδ_1=0,δ_0=-δ_1. Rescattering has significant effects on weak amplitudes. Taking into account, rescattering, we find that direct CP--violating asymmetry in these decays may lie in the range \mp 0.023\sin γ\leq \QTR{cal}{A}_{1,2}\leq \mp 0.086\sin γ.

Key concepts: Bar (unit), State (computer science), Physics, Mathematics, Meteorology, Algorithm

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