Abstract
We study the three-body antitriplet decays with the flavor [] symmetry, where denotes the charmed baryon antitriplet of , and and represent baryon and meson octets, respectively. By considering only the S-wave -pair contributions without resonance effects, the decays of can be decomposed into irreducible forms with 11 parameters under , which are fitted by the 14 existing data, resulting in a reasonable value of for the fit. Consequently, we find that the triangle sum rule of given by the isospin symmetry holds under , where stands for the decay amplitude. In addition, we predict that , which is 3–4 times smaller than the BESIII observation, indicating the existence of the resonant states. For the to-be-observed decays, we compute the branching fractions with the amplitudes to be compared to the BESIII and LHCb measurements in the future.
- Received 26 December 2018
DOI:https://doi.org/10.1103/PhysRevD.99.073003
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