\(B\rightarrow J/\psi K(1270)\) and \(B\rightarrow J/\psi K(1400)\) decays in QCD factorization approach (Q1949920)

Summary: The hadronic \(B\rightarrow J/\psi K(1270)\) and \(B\rightarrow J/\psi K(1400)\) has been analyzed in ``QCD factorization'' approach and generalized factorization. The effective coefficients \(a_i^h\) have been calculated for three helicity states \(h=0,+,-\) which give three different contribution of amplitudes. We consider that \(J/\psi \) behaves as a light meson in compared to \(B\) meson. For \(B^+\rightarrow J/\psi K^+(1270)\) and \(B^+\rightarrow J/\psi K^+(1400)\), experimental data of branching ratios are \((1.8 \pm 0.5) \times 10^{ - 3}\) and \(< 5 \times 10^{ - 4}\), respectively. Our best obtained results are \((1.79 \pm 0.01) \times 10^{ - 3}\) at \(\theta = 58^{\circ} \) and \((1.42 \pm 0.01) \times 10^{ - 3}\) at \(\theta = 32^{\circ} \) for \(B^+\rightarrow J/\psi K^+(1270)\) decay. And we have \(4.27 \times 10^{ - 4}\) at \(\theta = 58^{\circ} \) and \(3.45 \times 10^{ - 4}\) at \(\theta = 32^{\circ} \) for \(B^+\rightarrow J/\psi K^+(1400)\), which are in agreement with experiment.