SearcharxivSearch

arXiv subjects

Zhu-Ding Duan

Publications and source records attributed to Zhu-Ding Duan.

3 recordsLinked to original sources

Probing direct $CP$ violation in $Λ_b^0 \to P_c^+ h^-$ $(h=π,K)$ with final-state rescattering

The LHCb Collaboration recently reported a measurement of the difference in direct CP asymmetries for the decays $Λ_b^0 \to J/ψ\, p \, h^-$ (with $h = K, π$), offering new experimental constraints on the decay dynamics of heavy baryons into charmonium final states. Inspired by these findings, we explore the branching ratios and direct CP violations for the decays $Λ_b^0 \to P_c^+(4312, 4440, 4457)\,h^-$ within the framework of final-state rescattering. Our analysis indicates that the branching fractions for $Λ_b^0 \to P_c^+ π^-$ lie around the $10^{-6}$ level, with the corresponding direct CP asymmetries approaching approximately $1\%$. In contrast, the direct CP violation for the decay $Λ_b^0 \to P_c^+ K^-$ is found to be very small, while its branching ratios show a strong dependence on the spin assignments of the $P_c$ states. These predictions may provide useful guidance for more precise CP measurements and amplitude analyses in the $P_c$ region in future experiments.

hep-ph

Final-state rescattering in $\bar{B}^{0}_{(s)}\to Λ^{+}_{c}\barΛ^{-}_{c}$ decays

The LHCb Collaboration has recently reported the first observation of the decay $\bar B_s^0\to Λ_c^+\barΛ_c^-$, along with measurements of the branching fractions for both $\bar B^0\to Λ_c^+\barΛ_c^-$ and $\bar B_s^0\to Λ_c^+\barΛ_c^-$. In this work, we investigate these two decays within the framework of final state re-scattering. Our results show that the predicted branching fractions are consistent with the experimental measurements, indicating the significant role of long-distance final-state interactions in such baryonic B decays. Furthermore, we present predictions for the direct CP asymmetries and the asymmetry parameters. Numerically, both decays exhibit nearly vanishing CP asymmetries, while $\bar B^0\to Λ_c^+\barΛ_c^-$ displays a sizable longitudinal polarization, providing a sensitive observable for testing our theoretical framework in future experimental measurements.

hep-ph

Final-state rescattering mechanism in bottom-baryon decays

The first observation of $CP$ violation in baryon decays was recently reported by the LHCb collaboration in $Λ_b^0\to pK^-π^+π^-$ with $A_{CP} = (2.45 \pm 0.46 \pm 0.10)\%$, which inspires the study on baryon non-leptonic decays. In this work, we perform the first calculation of five exclusive non-leptonic decays, $Λ^{0}_{b}\to pπ^{-}, p K^{-},pρ^{-},pK^{*-}$ and $Λϕ$, within the re-scattering approach. The triangle diagrams at hadron level are calculated in form of loop integrations. It leads to the generation of strong phases, which is essential to the calculation of $CP$ asymmetries. We present numerical results for branching ratios, direct and partial-wave $CP$ asymmetries, decay asymmetry parameters and their associated $CP$ asymmetries. Our results are consistent with the current LHCb experimental data, which indicates the validity and potential of our approach in studying the $CP$ asymmetries of $b$-baryon decays. Most of our results are expected to be tested in future experiments.

hep-ph