As the annihilation contributions play important roles in solving the puzzle of the small longitudinal polarizations in B→K* decays, we examine similar effects in the decays of B→K0,2*(1430). For the calculations on the annihilated contributions, we adopt that the form factors in B→K(*) decays are parameters determined by the observed branching ratios (BRs), polarization fractions, and relative angles in experiments, and we connect the parameters between B→K0(2)* and B→K(*). We find that the BR of Bd→K0*0(1430) is (3.69±0.47)×10-6. We show that the BR of Bd→K2*0(1430) is (1.70±0.80)×10-6 in the 2nd version of the Isgur-Scora-Grinstein-Wise (ISGW2) model, whereas it can be a broad range of values in the light-front quark model. In terms of the recent BABAR observations on BRs and polarization fractions in Bd→K2*0(1430), the results in the light-front quark model are found to be more favorable. In addition, due to the annihilation contributions to B→K2* and B→K* being opposite in sign, we demonstrate that the longitudinal polarization of Bd→K2*0(1430) is always O(1) with or without including the annihilation contributions.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 2007 Mar 13|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)