Probing Direct $CP$ Violation in $Λ_b^0 \to P_c^+ h^-$ $(h=π,K)$ with Final-State Rescattering

Fuente: arXiv
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Autores principales: Duan, Zhu-Ding, Feng, Tian-Liang, Li, Rui-Hui, Liu, Ming-Zhu, Wang, Jian-Peng, Yu, Fu-Sheng
Formato: Preprint
Publicado: 2026
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author Duan, Zhu-Ding
Feng, Tian-Liang
Li, Rui-Hui
Liu, Ming-Zhu
Wang, Jian-Peng
Yu, Fu-Sheng
author_facet Duan, Zhu-Ding
Feng, Tian-Liang
Li, Rui-Hui
Liu, Ming-Zhu
Wang, Jian-Peng
Yu, Fu-Sheng
contents The LHCb collaboration has 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_03661
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Probing Direct $CP$ Violation in $Λ_b^0 \to P_c^+ h^-$ $(h=π,K)$ with Final-State Rescattering
Duan, Zhu-Ding
Feng, Tian-Liang
Li, Rui-Hui
Liu, Ming-Zhu
Wang, Jian-Peng
Yu, Fu-Sheng
High Energy Physics - Phenomenology
High Energy Physics - Experiment
The LHCb collaboration has 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.
title Probing Direct $CP$ Violation in $Λ_b^0 \to P_c^+ h^-$ $(h=π,K)$ with Final-State Rescattering
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2602.03661