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We present results on $B\to J/\psi\xspace K\pi$ decays using $e^+e^-$ annihilation data collected with the BABAR detector at the $\Upsilon(4S)$ resonance. The detector is located at the PEP-II asymmetric-energy storage ring facility at the Stanford Linear Accelerator Center. Using approximately 88 million $B\bar{B}$ pairs, we measure the decay amplitudes for the flavor eigenmodes and observe strong-phase differences indicative of final-state interactions with a significance of 7.6 standard deviations. We use the interference between the $K\pi$ $S$-wave and $P$-wave amplitudes in the region of the $K^*(892)$ to resolve the ambiguity in the determination of these strong phases. We then perform an ambiguity-free measurement of $\cos2\beta$ using the angular and time-dependent asymmetry in $B\to J/\psi\xspace K^{*0}(K_S^0\pi^0$) dec With $\sin 2 \beta$ fixed at its measured value and $\cos 2 \beta$ treated as an in we find $\cos 2\beta=2.72_{-0.79}^{+0.50}\mathrm{(stat)} \pm 0.27\mathrm{(syst)}$, de sign of $\cos 2\beta$ to be positive at 86% CL

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

Time-integrated and time-dependent angular analyses of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:mi>K</mml:mi><mml:mi>π</mml:mi></mml:math>: A measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>cos</mml:mi><mml:mo>﻿</mml:mo><mml:mn>2</mml:mn><mml:mi>β</mml:mi></mml:math>with no sign ambiguity from strong phases

Time-integrated and time-dependent angular analyses ofB→J/ψKπ: A measurement ofcos﻿2βwith no sign ambiguity from strong phases

Time-integrated and time-dependent angular analyses ofB→J/ψKπ: A measurement ofcos2βwith no sign ambiguity from strong phases