Abstract
Aiming on testing the mixing, we study the decays of with , and . The soft-meson limit is considered along with the pole model, and the baryon matrix elements are evaluated by the bag model with and without removing the center-of-mass motion (CMM). We find that the four-quark operator matrix elements are about two times larger once the unwanted CMM is removed. We obtain that and 1.45 with and without removing the CMM, where the former is close to the lower bound and the later is well consistent with measured at LHCb. In addition, we show that after including the mixing the up-down asymmetry of flips sign. Explicitly, we obtain that and with and without the CMM corrections, respectively, which are all negative if the mixing is absence. As a bonus, a positive value of in experiments can also serve as the evidence of the -exchange contributions.
- Received 15 December 2022
- Accepted 4 January 2023
DOI:https://doi.org/10.1103/PhysRevD.107.013006
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