Abstract
As the annihilation contributions play important roles in solving the puzzle of the small longitudinal polarizations in decays, we examine similar effects in the decays of . For the calculations on the annihilated contributions, we adopt that the form factors in decays are parameters determined by the observed branching ratios (BRs), polarization fractions, and relative angles in experiments, and we connect the parameters between and . We find that the BR of is . We show that the BR of is 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 , the results in the light-front quark model are found to be more favorable. In addition, due to the annihilation contributions to and being opposite in sign, we demonstrate that the longitudinal polarization of is always with or without including the annihilation contributions.
- Received 9 January 2007
DOI:https://doi.org/10.1103/PhysRevD.75.054010
©2007 American Physical Society