Abstract
An analysis of the forward-backward asymmetry (FBA) in the decay is carried out based on the LHCb data. It is found that the large FBA observed for the invariant mass of the pair around 1.5 GeV can be explained by the interference of the amplitudes between the resonances with even and odd spins, where the former can be the spin-0 resonance plus a nonresonance wave, while the latter is a spin-1 resonance which is probably . This is in contradiction with the conclusion of former experimental analysis [e.g., BABAR, Phys. Rev. D 85, 112010 (2012)], according to which the analysis showed no signal of spin-odd resonances at all when the invariant mass of the pair was around 1.5 GeV. According to the analysis of the current paper the existence of the spin-odd resonances such as is inevitable for the explanation of the large FBA in this region. The analysis also shows that the asymmetry of the decay channel is about . We suggest our experimental colleagues perform a closer analysis of this channel. We also suggest to perform the measurements of the FBAs (as well as the forward-backward asymmetry) in other three-body decay channels of beauty and charmed mesons, as this is helpful for resonance analysis.
- Received 22 January 2022
- Accepted 9 May 2022
DOI:https://doi.org/10.1103/PhysRevD.105.093007
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