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Nonleptonic decays of the double-charmed baryon $Ω_{c c}^{+}$ within the nonrelativistic quark model

School of Physics and Center of High Energy Physics, Peking University, Beijing 100871, China

^*Contact author: liysh@pku.edu.cn

Phys. Rev. D 113, 033004 – Published 17 February, 2026

DOI: https://doi.org/10.1103/k7xq-whnk

Abstract

In this work, we investigate the two-body nonleptonic decays of double-charmed baryon $Ω_{c c}^{+}$ within a nonrelativistic quark model, in which the nonfactorizable amplitudes contributed by $W$ -exchange diagrams are evaluated under the pole model assumption. To reduce the sensitivity of decay amplitudes to an arbitrary choice of baryon wave functions, we adopt charmed baryon wave functions obtained by solving the Schrödinger equation with a nonrelativistic quark potential model. Our results show that the branching fractions of Cabibbo-favored decays $Ω_{c c}^{+} \to Ω_{c}^{0} π^{+}$ and $Ξ_{c}^{(') +} π^{+}$ , as well as the single Cabibbo-suppressed decays $Ω_{c c}^{+} \to Ω_{c}^{0} K^{+}$ , $Σ_{c c}^{+ +} K^{-}$ , $Ξ_{c}^{' +} η$ , and $Λ_{c}^{+} {\bar{K}}^{0}$ can reach up to a few percent. Particularly for the $Ω_{c c}^{+} \to Ω_{c}^{0} K^{+}$ mode, owing to the large factorizable amplitude and constructive pole contributions, the branching fraction is comparable to Cabibbo-favored decays. These decay modes can serve as the discovery channels for the double-charmed baryon $Ω_{c c}^{+}$ in future experiments, like LHCb and Belle II.

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References (69)

R. Aaij et al. (LHCb), Observation of the doubly charmed baryon $Ξ_{c c}^{+ +}$ , Phys. Rev. Lett. 119, 112001 (2017).
R. Aaij et al. (LHCb), 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), Observation of the doubly charmed baryon decay $Ξ_{c c}^{+ +} \to Ξ_{c}^{' +} π^{+}$ , J. High Energy Phys. 05 (2022), 038.
R. Aaij et al. (LHCb), Observation of the doubly-charmed-baryon decay $Ξ_{c c}^{+ +} \to Ξ_{c}^{0} π^{+} π^{+}$ , J. High Energy Phys. 10 (2025), 136.
M. Mattson et al. (SELEX), First observation of the doubly charmed baryon $Ξ_{c c}^{+}$ , Phys. Rev. Lett. 89, 112001 (2002).
A. Ocherashvili et al. (SELEX), Confirmation of the Double Charm Baryon $Ξ_{c c}^{+} (3520)$ via its Decay to $p D^{+} K^{-}$ , Phys. Lett. B 628, 18–24 (2005).
S. P. Ratti, New Results on C-Baryons and a Search for CC-Baryons in FOCUS, Nucl. Phys. B Proc. Suppl. 115, 33–36 (2003).
B. Aubert et al. (BABAR), Search for doubly charmed baryons $Ξ_{c c}^{+}$ and $Ξ_{c c}^{+ +}$ in BABAR, Phys. Rev. D 74, 011103 (2006).
Y. Kato et al. (Belle), Search for doubly charmed baryons and study of charmed strange baryons at Belle, Phys. Rev. D 89, 052003 (2014).
R. Aaij et al. (LHCb), Search for the doubly charmed baryon $Ξ_{c c}^{+}$ , J. High Energy Phys. 12 (2013), 090.
R. Aaij et al. (LHCb), Search for the doubly charmed baryon $Ξ_{c c}^{+}$ , Sci. China Phys. Mech. Astron. 63, 221062 (2020).
R. Aaij et al. (LHCb), Precision measurement of the $Ξ_{c c}^{+ +}$ mass, J. High Energy Phys. 02 (2020), 049.
R. Aaij et al. (LHCb), Search for the doubly charmed baryon $Ω_{c c}^{+}$ , Sci. China Phys. Mech. Astron. 64, 101062 (2021).
F. S. Yu, H. Y. Jiang, R. H. Li, C. D. Lü, W. Wang, and Z. X. Zhao, Discovery potentials of doubly charmed baryons, Chin. Phys. C 42, 051001 (2018).
H. Y. Cheng, Charmed baryon physics circa 2021, Chin. J. Phys. 78, 324–362 (2022).
M. Ablikim et al. (BESIII), First measurement of the decay asymmetry in the pure $W$ -boson-exchange decay $Λ_{c}^{+} \to Ξ^{0} K^{+}$ , Phys. Rev. Lett. 132, 031801 (2024).
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).
Y. S. Li and X. Liu, Revisiting heavy-flavor conserving weak decays of charmed baryons within the nonrelativistic quark model, Phys. Rev. D 111, 053004 (2025).
H. Y. Cheng and B. Tseng, Nonleptonic weak decays of charmed baryons, Phys. Rev. D 46, 1042 (1992); Nonleptonic weak decays of charmed baryons, 55, 1697(E) (1997).
H. Y. Cheng, C. Y. Cheung, G. L. Lin, Y. C. Lin, T. M. Yan, and H. L. Yu, Heavy flavor conserving nonleptonic weak decays of heavy baryons, Phys. Rev. D 46, 5060–5068 (1992).
H. Y. Cheng and B. Tseng, Cabibbo allowed nonleptonic weak decays of charmed baryons, Phys. Rev. D 48, 4188–4202 (1993).
T. Uppal, R. C. Verma, and M. P. Khanna, Constituent quark model analysis of weak mesonic decays of charm baryons, Phys. Rev. D 49, 3417–3425 (1994).
J. Zou, F. Xu, G. Meng, and H. Y. Cheng, Two-body hadronic weak decays of antitriplet charmed baryons, Phys. Rev. D 101, 014011 (2020).
S. Hu, G. Meng, and F. Xu, Hadronic weak decays of the charmed baryon $Ω_{c}$ , Phys. Rev. D 101, 094033 (2020).
G. Meng, S. M. Y. Wong, and F. Xu, Doubly Cabibbo-suppressed decays of antitriplet charmed baryons, J. High Energy Phys. 11 (2020), 126.
M. A. Ivanov, V. E. Lyubovitskij, and Z. Tyulemissov, Study of the nonleptonic decay $Ξ_{c}^{0} \to Λ_{c}^{+} π^{-}$ in the covariant confined quark model, Phys. Rev. D 108, 073002 (2023).
H. Y. Cheng, X. W. Kang, and F. Xu, Singly Cabibbo-suppressed hadronic decays of $Λ_{c}^{+}$ , Phys. Rev. D 97, 074028 (2018).
H. Y. Cheng and F. Xu, Heavy-flavor-conserving hadronic weak decays of charmed and bottom baryons, Phys. Rev. D 105, 094011 (2022).
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).
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).
P. Y. Niu, Q. Wang, and Q. Zhao, Cabibbo-favored hadronic weak decays of the $Ξ_{c}$ in the quark model, Phys. Rev. D 111, 093004 (2025).
R. Dhir and N. Sharma, Weak decays of doubly heavy charm $Ω_{c c}^{+}$ baryon, Eur. Phys. J. C 78, 743 (2018).
H. Y. Cheng, G. Meng, F. Xu, and J. Zou, Two-body weak decays of doubly charmed baryons, Phys. Rev. D 101, 034034 (2020).
C. W. Liu, Nonleptonic two-body weak decays of charmed baryons, Phys. Rev. D 109, 033004 (2024).
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).
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).
W. Wang, Z. P. Xing, and J. Xu, Weak decays of doubly heavy baryons: SU(3) Analysis, Eur. Phys. J. C 77, 800 (2017).
Y. J. Shi, W. Wang, Y. Xing, and J. Xu, Weak decays of doubly heavy baryons: Multi-body decay channels, Eur. Phys. J. C 78, 56 (2018).
Y. S. Li, The nonleptonic decays $Ξ_{c c}^{+ +} \to Ξ_{c}^{(') +} π^{+}$ within the nonrelativistic quark model, Eur. Phys. J. C 85, 938 (2025).
S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
E. Hiyama, Y. Kino, and M. Kamimura, Gaussian expansion method for few-body systems, Prog. Part. Nucl. Phys. 51, 223–307 (2003).
K. Ottnad, S. Bacchio, J. Finkenrath, B. Kostrzewa, M. Petschlies, F. Pittler, C. Urbach, and U. Wenger, $η$ , $η^{'}$ mesons from lattice QCD in fully physical conditions, Eur. Phys. J. A 61, 169 (2025); $η$ , $η^{'}$ mesons from lattice QCD in fully physical conditions, 61, 227(E) (2025).
T. Feldmann, P. Kroll, and B. Stech, Mixing and decay constants of pseudoscalar mesons, Phys. Rev. D 58, 114006 (1998).
L. A. Copley, N. Isgur, and G. Karl, Charmed baryons in a quark model with hyperfine interactions, Phys. Rev. D 20, 768 (1979); Charmed Baryons in a quark model with hyperfine interactions, 23, 817(E) (1981).
M. Pervin and W. Roberts, Strangeness $- 2$ and $- 3$ baryons in a constituent quark model, Phys. Rev. C 77, 025202 (2008).
W. Roberts and M. Pervin, Heavy baryons in a quark model, Int. J. Mod. Phys. A 23, 2817–2860(2008).
S. Q. Luo and X. Liu, Newly observed $Ω_{c} (3327)$ : A good candidate for a D-wave charmed baryon, Phys. Rev. D 107, 074041 (2023).
S. Q. Luo and X. Liu, Investigating the spectroscopy behavior of undetected $1 F$ -wave charmed baryons, Phys. Rev. D 108, 034002 (2023).
Y. X. Peng, S. Q. Luo, and X. Liu, Refining radiative decay studies in singly heavy baryons, Phys. Rev. D 110, 074034 (2024).
H. Zhou, S. Q. Luo, and X. Liu, Triply heavy baryon spectroscopy revisited, Phys. Rev. D 112, 074007 (2025).
E. Hiyama and M. Kamimura, Study of various few-body systems using Gaussian expansion method (GEM), Front. Phys. (Beijing) 13, 132106 (2018).
Y. S. Li, X. Liu, and F. S. Yu, Revisiting semileptonic decays of $Λ_{b (c)}$ supported by baryon spectroscopy, Phys. Rev. D 104, 013005 (2021).
S. Q. Luo, L. S. Geng, and X. Liu, Double-charm heptaquark states composed of two charmed mesons and one nucleon, Phys. Rev. D 106, 014017 (2022).
X. H. Hu, C. P. Jia, Y. Xing, and F. S. Yu, Final-state rescattering mechanism of double-charm baryon decays: $B_{c c} \to B_{c} P$ , Phys. Rev. D 111, 076002 (2025).
X. Q. Li and B. S. Zou, Significance of single pion exchange inelastic final state interaction for $D \to V P$ processes, Phys. Lett. B 399, 297–302 (1997).
H. Y. Cheng, Weak annihilation and the effective parameters a(1) and a(2) in nonleptonic D decays, Eur. Phys. J. C 26, 551–565 (2003).
H. Y. Cheng, C. K. Chua, and A. Soni, Final state interactions in hadronic B decays, Phys. Rev. D 71, 014030 (2005).
C. D. Lu, Y. L. Shen, and W. Wang, Final state interaction in $B \to K K$ decays, Phys. Rev. D 73, 034005 (2006).
H. Y. Cheng and C. W. Chiang, Two-body hadronic charmed meson decays, Phys. Rev. D 81, 074021 (2010).
Y. L. Wang, S. T. Cai, and Y. K. Hsiao, Rescattering-induced $D \to S S$ weak decays, [arXiv:2509.16879.
S. L. Chen, X. H. Guo, X. Q. Li, and G. L. Wang, Cabibbo suppressed nonleptonic decays of $Λ_{c}$ and final state interaction, Commun. Theor. Phys. 40, 563–572 (2003).
H. W. Ke and X. Q. Li, A natural interpretation on the data of $Λ_{c} \to Σ π$ , Phys. Rev. D 102, 113013 (2020).
L. J. Jiang, B. He, and R. H. Li, Weak decays of doubly heavy baryons: $B_{c c} \to B_{c} V$ , Eur. Phys. J. C 78, 961 (2018).
C. P. Jia, H. Y. Jiang, J. P. Wang, and F. S. Yu, Final-state rescattering mechanism of charmed baryon decays, J. High Energy Phys. 11 (2024), 072.
Y. Cao, M. X. Duan, Z. Tao, and Q. Zhao, A unified approach for the hadronic weak decays of $Λ$ and $Σ^{\pm} \to N π$ , [arXiv:2512.10346 [hep-ph]].
X. H. Hu, C. P. Jia, Y. Xing, and F. S. Yu, Branching fraction of $Ξ_{b c}^{+} \to Ξ_{c}^{+} J / ψ$ in the final-state-interaction approach, [arXiv:2512.09705 [hep-ph]].
H. Q. Shang, T. L. Feng, J. Gao, Q. Qin, and F. S. Yu, Study of $C P$ violation in $Λ_{b}^{0} \to N^{*} M$ decays with the final-state rescattering mechanism, [arXiv:2601.02887 [hep-ph]].
T. L. Feng, H. Q. Shang, J. Gao, Q. Qin, and F. S. Yu, Study of $C P$ violation in $Λ_{b}^{0} / Ξ_{b}^{-} \to Λ (1520) M$ decays with the final-state rescattering mechanism, [arXiv:2601.08314 [hep-ph]].
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); Predictions for semileptonic decays of charm baryons. 2. Nonrelativistic and MIT bag quark models, 44, 2203(E) (1991).

Phys. Rev. D 113, 033004– Published 17 February, 2026

Vol. 113, Iss. 3 — 1 February 2026

Received 16 December 2025
Accepted 27 January 2026

DOI: https://doi.org/10.1103/k7xq-whnk

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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Nonleptonic decays of the double-charmed baryon $Ω_{c c}^{+}$ within the nonrelativistic quark model

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Nonleptonic decays of the double-charmed baryon Ωcc+ within the nonrelativistic quark model

Abstract

Physics Subject Headings (PhySH)

Article Text

References (69)

Nonleptonic decays of the double-charmed baryon $Ω_{c c}^{+}$ within the nonrelativistic quark model