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We present a calculation of the direct CP asymmetry, $A_{CP}^{dir}$, for theprocess $B^+ \to \pi^+ K^0$ including the effects of long-range inelasticfinal-state interactions (FSI). We admit three channels in our calculation:$B^+ \to (\pi^+ K^0), (\eta K^+)$, and $(D_s^+ \bar{D}^0)$. The strongscattering is described in terms of Pomeron and Regge exchanges. We find thatthe 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. Acritical assessment of papers claiming large CP asymmetries is also presented.Comment: 21 pages, latex, no figures. Added the charge-exchange channel  {B}^{+}\to {\pi}^{0} {K}^{+}. Expanded the discussion section. To be  published in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Long-range two-body final-state interactions and direct<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>asymmetry in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:…

Long-range two-body final-state interactions and directCPasymmetry inB+→π+