Abstract
We study the two-body anti-triplet charmed baryon decays based on the diagrammatic approach with SU(3) flavor symmetry. We extract the two W -exchange effects as EB and E' that contribute to the \( {\Lambda}_c^{+}\to {\Xi}^0{K}^{+} \) decay, together with the relative phases, where EB gives the main contribution. Besides, we find that \( \mathcal{B}\left({\Lambda}_c^{+}\to p{\pi}^0\right)=\left({0.8}_{-0.8}^{+0.9}\right)\times {10}^{-4} \),which is within the experimental upper bound. Particularly, we obtain \( \mathcal{B}\left({\Xi}_c^{+}\to {\Xi}^0{\pi}^{+}\right)=\left(9.3\pm 3.6\right)\times {10}^{-3} \), \( \mathcal{B}\left({\Xi}_c^0\to {\Xi}^{-}{\pi}^{+},{\Lambda}^0{\overline{K}}^0\right)=\left(19.3\pm 2.8,8.3\pm 5.0\right)\times {10}^{-2} \) and \( \mathcal{B}\left({\Xi}_c^0\to {\Xi}^{-}{K}^{+}\right)=\left(5.6\pm 0.8\right)\times {10}^{-4} \), which all agree with the data. For the singly Cabibbo suppressed \( {\Lambda}_c^{+} \) decays, we predict that \( \mathcal{B}\left({\Lambda}_c^{+}\to n{\pi}^{+}, p\eta \hbox{'},{\Sigma}^{+}{K}^0\right)=\left(7.7\pm 2.0,7.1\pm 1.4,19.1\pm 4.8\right)\times 10-4 \), which are accessible to the experiments at BESIII, BELLEII and LHCb.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
BESIII collaboration, Measurements of absolute branching fractions for \( {\Lambda}_c^{+}\to {\Xi}^0{K}^{+} \) and Ξ(1530)0K+, Phys. Lett. B 783 (2018) 200 [arXiv:1803.04299] [INSPIRE].
BESIII collaboration, Measurements of absolute hadronic branching fractions of \( {\Lambda}_c^{+} \) baryon, Phys. Rev. Lett. 116 (2016) 052001 [arXiv:1511.08380] [INSPIRE].
BESIII collaboration, Evidence for the singly-Cabibbo-suppressed decay \( {\Lambda}_c^{+} \) → pη and search for \( {\Lambda}_c^{+} \) → pπ0, Phys. Rev. D 95 (2017) 111102 [arXiv:1702.05279] [INSPIRE].
A. Ali, G. Kramer and C.-D. Lu, Experimental tests of factorization in charmless nonleptonic two-body B decays, Phys. Rev. D 58 (1998) 094009 [hep-ph/9804363] [INSPIRE].
C.Q. Geng, Y.K. Hsiao and J.N. Ng, Direct CP-violation in \( {B}^{\pm}\to p\overline{p}K{\left(\ast \right)}^{\pm } \), Phys. Rev. Lett. 98 (2007) 011801 [hep-ph/0608328] [INSPIRE].
Y.K. Hsiao and C.Q. Geng, Direct CP-violation in Λb decays, Phys. Rev. D 91 (2015) 116007 [arXiv:1412.1899] [INSPIRE].
Y.K. Hsiao, Y. Yao and C.Q. Geng, Charmless two-body anti-triplet b-baryon decays, Phys. Rev. D 95 (2017) 093001 [arXiv:1702.05263] [INSPIRE].
J.G. Körner and M. Krämer, Exclusive nonleptonic charm baryon decays, Z. Phys. C 55 (1992) 659 [INSPIRE].
P. Zenczykowski, Quark and pole models of nonleptonic decays of charmed baryons, Phys. Rev. D 50 (1994) 402 [hep-ph/9309265] [INSPIRE].
M.A. Ivanov, J.G. Körner, V.E. Lyubovitskij and A.G. Rusetsky, Exclusive nonleptonic decays of bottom and charm baryons in a relativistic three quark model: evaluation of nonfactorizing diagrams, Phys. Rev. D 57 (1998) 5632 [hep-ph/9709372] [INSPIRE].
Q.P. Xu and A.N. Kamal, Cabibbo favored nonleptonic decays of charmed baryons, Phys. Rev. D 46 (1992) 270 [INSPIRE].
K.K. Sharma and R.C. Verma, A study of weak mesonic decays of Λc and Ξc baryons on the basis of HQET results, Eur. Phys. J. C 7 (1999) 217 [hep-ph/9803302] [INSPIRE].
X.G. He et al., The CP-violating phase γ from global fit of rare charmless hadronic B decays, Phys. Rev. D 64 (2001) 034002 [hep-ph/0011337] [INSPIRE].
H.-K. Fu, X.-G. He and Y.-K. Hsiao, B → η(η′)K (π) in the standard model with flavor symmetry, Phys. Rev. D 69 (2004) 074002 [hep-ph/0304242] [INSPIRE].
Y.-K. Hsiao, C.-F. Chang and X.-G. He, A global SU(3)∕U(3) flavor symmetry analysis for B → PP with η-η′mixing, Phys. Rev. D 93 (2016) 114002 [arXiv:1512.09223] [INSPIRE].
X.-G. He and G.-N. Li, Predictive C P violating relations for charmless two-body decays of beauty baryons \( {\Xi}_b^{-,0} \) and \( {\Lambda}_b^0 \) with flavor SU(3) symmetry, Phys. Lett. B 750 (2015) 82 [arXiv:1501.00646] [INSPIRE].
M. He, X.-G. He and G.-N. Li, CP-violating polarization asymmetry in charmless two-body decays of beauty baryons, Phys. Rev. D 92 (2015) 036010 [arXiv:1507.07990] [INSPIRE].
M.J. Savage and R.P. Springer, SU(3) predictions for charmed baryon decays, Phys. Rev. D 42 (1990) 1527 [INSPIRE].
M.J. Savage, SU(3) violations in the nonleptonic decay of charmed hadrons, Phys. Lett. B 257 (1991) 414 [INSPIRE].
G. Altarelli, N. Cabibbo and L. Maiani, Weak nonleptonic decays of charmed hadrons, Phys. Lett. B 57 (1975) 277.
C.-D. Lü, W. Wang and F.-S. Yu, Test flavor SU(3) symmetry in exclusive Λc decays, Phys. Rev. D 93 (2016) 056008 [arXiv:1601.04241] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, Y.-H. Lin and L.-L. Liu, Non-leptonic two-body weak decays of Λc (2286), Phys. Lett. B 776 (2018) 265 [arXiv:1708.02460] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, C.-W. Liu and T.-H. Tsai, Antitriplet charmed baryon decays with SU(3) flavor symmetry, Phys. Rev. D 97 (2018) 073006 [arXiv:1801.03276] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, C.-W. Liu and T.-H. Tsai, Charmed baryon weak decays with Su(3) flavor symmetry, JHEP 11 (2017) 147 [arXiv:1709.00808] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, C.-W. Liu and T.-H. Tsai, SU(3) symmetry breaking in charmed baryon decays, Eur. Phys. J. C 78 (2018) 593 [arXiv:1804.01666] [INSPIRE].
W. Wang, Z.-P. Xing and J. Xu, Weak decays of doubly heavy baryons: SU(3) analysis, Eur. Phys. J. C 77 (2017) 800 [arXiv:1707.06570] [INSPIRE].
D. Wang, P.-F. Guo, W.-H. Long and F.-S. Yu, \( {K}_S^0-{K}_L^0 \) asymmetries and CP-violation in charmed baryon decays into neutral kaons, JHEP 03 (2018) 066 [arXiv:1709.09873] [INSPIRE].
C.Q. Geng, Y.K. Hsiao, C.-W. Liu and T.-H. Tsai, Three-body charmed baryon Decays with SU(3) flavor symmetry, Phys. Rev. D 99 (2019) 073003 [arXiv:1810.01079] [INSPIRE].
Y.K. Hsiao, Y. Yao and H.J. Zhao, Two-body charmed baryon decays involving vector meson with SU(3) flavor symmetry, Phys. Lett. B 792 (2019) 35 [arXiv:1902.08783] [INSPIRE].
C.-Q. Geng, C.-W. Liu and T.-H. Tsai, Singly Cabibbo suppressed decays of \( {\Lambda}_c^{+} \) with SU(3) flavor symmetry, Phys. Lett. B 790 (2019) 225 [arXiv:1812.08508] [INSPIRE].
C.Q. Geng, C.-W. Liu and T.-H. Tsai, Asymmetries of anti-triplet charmed baryon decays, Phys. Lett. B 794 (2019) 19 [arXiv:1902.06189] [INSPIRE].
H.-Y. Cheng, X.-W. Kang and F. Xu, Singly Cabibbo-suppressed hadronic decays of \( {\varLambda}_c^{+} \) , Phys. Rev. D 97 (2018) 074028 [arXiv:1801.08625] [INSPIRE].
Y. Kohara, Quark diagram analysis of charmed baryon decays, Phys. Rev. D 44 (1991) 2799 [INSPIRE].
L.-L. Chau, H.-Y. Cheng and B. Tseng, Analysis of two-body decays of charmed baryons using the quark diagram scheme, Phys. Rev. D 54 (1996) 2132 [hep-ph/9508382] [INSPIRE].
J. Zou, F. Xu, G. Meng and H.-Y. Cheng, Two-body hadronic weak decays of antitriplet charmed baryons, Phys. Rev. D 101 (2020) 014011 [arXiv:1910.13626] [INSPIRE].
A.K. Leibovich, Z. Ligeti, I.W. Stewart and M.B. Wise, Predictions for nonleptonic Λb and Θb decays, Phys. Lett. B 586 (2004) 337 [hep-ph/0312319] [INSPIRE].
D. Pirtskhalava and P. Uttayarat, CP violation and flavor SU(3) breaking in D-meson decays, Phys. Lett. B 712 (2012) 81 [arXiv:1112.5451] [INSPIRE].
Y. Grossman and D.J. Robinson, SU(3) sum rules for charm decay, JHEP 04 (2013) 067 [arXiv:1211.3361] [INSPIRE].
H.-Y. Cheng and C.-W. Chiang, SU(3) symmetry breaking and CP-violation in D → PP decays, Phys. Rev. D 86 (2012) 014014 [arXiv:1205.0580] [INSPIRE].
H.-n. Li, C.-D. Lu and F.-S. Yu, Branching ratios and direct CP asymmetries in D → PP decays, Phys. Rev. D 86 (2012) 036012 [arXiv:1203.3120] [INSPIRE].
H.-n. Li, C.-D. Lü, Q. Qin and F.-S. Yu, Branching ratios and direct CP asymmetries in D → P V decays, Phys. Rev. D 89 (2014) 054006 [arXiv:1305.7021] [INSPIRE].
H.-Y. Cheng and C.-W. Chiang, Revisiting CP-violation in D → P P and V P decays, Phys. Rev. D 100 (2019) 093002 [arXiv:1909.03063] [INSPIRE].
Particle Data Group collaboration, Review of particle physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
A.J. Buras, Weak Hamiltonian, CP-violation and rare decays, hep-ph/9806471 [INSPIRE].
T. Feldmann, P. Kroll and B. Stech, Mixing and decay constants of pseudoscalar mesons: The Sequel, Phys. Lett. B 449 (1999) 339 [hep-ph/9812269] [INSPIRE].
Belle collaboration, First measurements of absolute branching fractions of the \( {\Xi}_c^0 \) baryon at Belle, Phys. Rev. Lett. 122 (2019) 082001 [arXiv:1811.09738] [INSPIRE].
BESIII collaboration, Evidence for the decays of \( {\Lambda}_c^{+}\to {\Sigma}^{+}\eta \) and Σ+η′, Chin. Phys. C 43 (2019) 083002 [arXiv:1811.08028] [INSPIRE].
P. Li, private communication.
Belle collaboration, First measurements of absolute branching fractions of the \( {\Xi}_c^{+} \) baryon at Belle, Phys. Rev. D 100 (2019) 031101 [arXiv:1904.12093] [INSPIRE].
X.-G. He, Y.-J. Shi and W. Wang, Unification of flavor SU(3) analyses of heavy hadron weak decays, arXiv:1811.03480 [INSPIRE].
Y.K. Hsiao, Y. Yu and B.-C. Ke, Evidence for a0 (980) as tetraquark from the triangle rescattering \( {D}_s^{+}\to {\pi}^{+}{\pi}^0\eta \) decay, arXiv:1909.07327 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1811.07265
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Zhao, H., Wang, YL., Hsiao, Y. et al. A Diagrammatic Analysis of Two-Body Charmed Baryon Decays with Flavor Symmetry. J. High Energ. Phys. 2020, 165 (2020). https://doi.org/10.1007/JHEP02(2020)165
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2020)165