Long-range two-body final-state interactions and direct CP asymmetry in {B}^{+}\toπ^{+} {K}^{0} decay

Details Long-range two-body final-state interactions and direct CP asymmetry in {B}^{+}\toπ^{+} {K}^{0} decay Long-range two-body final-state interactions and direct CP asymmetry in {B}^{+}\toπ^{+} {K}^{0} decay

1999-01-18

arxiv.org/abs/hep-ph/9901342v2

Phys.Rev. D60 (1999) 094018

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, latex, no figures. Added the charge-exchange channel {B}^{+}\to {\pi}^{0} {K}^{+}. Expanded the discussion section.

Scientific paper

10.1103/PhysRevD.60.094018

We present a calculation of the direct CP asymmetry, $A_{CP}^{dir}$, for the process $B^+ \to \pi^+ K^0$ including the effects of long-range inelastic final-state interactions (FSI). We admit three channels in our calculation: $B^+ \to (\pi^+ K^0), (\eta K^+)$, and $(D_s^+ \bar{D}^0)$. The strong scattering is described in terms of Pomeron and Regge exchanges. We find that the direct CP asymmetry is enhanced by a factor of $\sim 3$ as a result of FSI, but remains well short of the claims of (10 - 20)% in recent literature. A critical assessment of papers claiming large CP asymmetries is also presented.

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