Abstract
We study the quasi-two-body decays and the three-body decays proceeding through intermediate tensor resonances, where and denote tensor and pseudoscalar mesons, respectively. We employ the transition form factors based upon light cone sum rules and the covariant light-front quark model to evaluate the decay rates, with the former giving a better agreement with current data. Though the tree amplitudes with the emitted meson being a tensor meson vanish under factorization approximation, contributions proportional to the tensor decay constant can be produced from vertex and hard spectator-scattering corrections. We also investigate the finite-width effects of the tensor mesons and find that, contrary to three-body decays, the tensor-mediated decays are more seriously affected and the narrow width approximation has to be corrected. More experimental data are required in order to extract information topological amplitudes associated with quasi-two-body decays. Among the data, the and branching fractions are not self-consistent and further clarification is called for.
- Received 16 March 2022
- Accepted 2 May 2022
DOI:https://doi.org/10.1103/PhysRevD.105.093006
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society