Hindawi Publishing Corporation Advances in High Energy Physics Volume 2012, Article ID 494031, 18 pages doi:10.1155/2012/494031 Research Article B → J/ ψ K(1270) and B → J/ψ K(1400) Decays in QCD Factorization Approach Mahboobeh Sayahi and Hossein Mehraban Physics Department, Semnan University, P.O. Box 35195-363, Semnan 35351, Iran Correspondence should be addressed to Mahboobeh Sayahi, m sayahi@sun.semnan.ac.ir Received 10 October 2011; Revised 4 December 2011; Accepted 29 December 2011 Academic Editor: Ira Rothstein Copyright q 2012 M. Sayahi and H. Mehraban. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The hadronic B → J/ψK1270 and B → J/ψK1400 has been analyzed in “QCD factorization” approach and generalized factorization. The effective coefficients a h i have been calculated for three helicity states h 0, , - which give three different contribution of amplitudes. We consider that J/ψ behaves as a light meson in compared to B meson. For B → J/ψK 1270 and B → J/ψK 1400, experimental data of branching ratios are 1.8 ± 0.5 × 10 -3 and <5 × 10 -4 , respectively. Our best obtained results are 1.79 ± 0.01 × 10 -3 at θ 58 ◦ and 1.42 ± 0.01 × 10 -3 at θ 32 ◦ for B → J/ψK 1270 decay. And we have 4.27 × 10 -4 at θ 58 ◦ and 3.45 × 10 -4 at θ 32 ◦ for B → J/ψK 1400, which are in agreement with experiment. 1. Introduction Recent experimental results sobtained by BABAR, Belle, and CLEO have opened an interesting area of research about production of axial-vector mesons in B decays. Two body B decays look for CP violation and overconstrain the CKM parameters in the Standard Model. Exclusive modes containing B → PP , PV , and VV , which have been extensively discussed in the literature have confirmed such expectation 1. In this research, the two- body hadronic decays of B meson into VA V : vector, A: axial-vector meson are studied in QCD factorization method. First we introduce the structure of axial-vector meson. Then we study the hadronic decays B → J/ψK1270 and B → J/ψK1400, particularly. There are two distinct types of axial-vector meson, namely, 3 P 1 and 1 P 1 . In the quark model, two nonets of J P 1 axial-vector meson are expected as the orbital excitation of the q q system. In terms of the spectroscopic notation 2S1 L J , there are two types of p-wave mesons 3 P 1 and 1 P 1 . These two nonets have distinctive C quantum numbers, C and C -, respectively. Experimentally, the J PC 1 nonet consists of a 1 1260, f 1 1285, f 1 1420, and