Abstract
The LHCb has discovered two new states with preferred J P quantum numbers 3/2− and 5/2+ from Λ b decays. These new states can be interpreted as hidden charm pentaquarks. It has been argued that the main features of these pentaquarks can be described by diquark model. The diquark model predicts that the 3/2− and 5/2+ are in two separate octet multiplets of flavor SU(3) and there is also an additional decuplet pentaquark multiplet. Finding the states in these multiplets can provide crucial evidence for this model. The weak decays of b-baryon to a light meson and a pentaquark can have Cabibbo allowed and suppressed decay channels. We find that in the SU(3) limit, for U-spin related decay modes the ratio of the decay rates of Cabibbo suppressed to Cabibbo allowed decay channels is given by |V cd |2/|V cs |2. There are also other testable relations for b-baryon weak decays into a pentaquark and a light pseudoscalar. These relations can be used as tests for the diquark model for pentaquark.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
LHCb collaboration, Observation of J/ψp resonances consistent with pentaquark states in Λ 0 b → J/ψK − p decays, Phys. Rev. Lett. 115 (2015) 072001 [arXiv:1507.03414] [INSPIRE].
M. Karliner and J.L. Rosner, New exotic meson and baryon resonances from doubly-heavy hadronic molecules, Phys. Rev. Lett. 115 (2015) 122001 [arXiv:1506.06386] [INSPIRE].
R. Chen, X. Liu, X.-Q. Li and S.-L. Zhu, Identifying exotic hidden-charm pentaquarks, Phys. Rev. Lett. 115 (2015) 132002 [arXiv:1507.03704] [INSPIRE].
H.-X. Chen, W. Chen, X. Liu, T.G. Steele and S.-L. Zhu, Towards exotic hidden-charm pentaquarks in QCD, Phys. Rev. Lett. 115 (2015) 172001 [arXiv:1507.03717] [INSPIRE].
L. Roca, J. Nieves and E. Oset, LHCb pentaquark as a \( {D}^{\ast }{\displaystyle {\sum}_c-{\overline{D}}^{*}{\displaystyle {\sum}_c^{*}}} \) molecular state, Phys. Rev. D 92 (2015) 094003 [arXiv:1507.04249] [INSPIRE].
A. Feijoo, V.K. Magas, A. Ramos and E. Oset, Λ b → J/ψKΞ decay and the higher order chiral terms of the meson baryon interaction, Phys. Rev. D 92 (2015) 076015 [arXiv:1507.04640] [INSPIRE].
A. Mironov and A. Morozov, Is the pentaquark doublet a hadronic molecule?, JETP Lett. 102 (2015) 271 [arXiv:1507.04694] [INSPIRE].
F.-K. Guo, U.-G. Meißner, W. Wang and Z. Yang, How to reveal the exotic nature of the P c (4450), Phys. Rev. D 92 (2015) 071502 [arXiv:1507.04950] [INSPIRE].
L. Maiani, A.D. Polosa and V. Riquer, The new pentaquarks in the diquark model, Phys. Lett. B 749 (2015) 289 [arXiv:1507.04980] [INSPIRE].
J. He, The \( \overline{D}{\displaystyle {\sum}_c^{*}} \) and \( \overline{D}{\displaystyle {\sum}_c^{*}} \) interactions and the LHCb hidden-charmed pentaquarks, arXiv:1507.05200 [INSPIRE].
X.-H. Liu, Q. Wang and Q. Zhao, Understanding the newly observed heavy pentaquark candidates, arXiv:1507.05359 [INSPIRE].
R.F. Lebed, The pentaquark candidates in the dynamical diquark picture, Phys. Lett. B 749 (2015) 454 [arXiv:1507.05867] [INSPIRE].
M. Mikhasenko, A triangle singularity and the LHCb pentaquarks, arXiv:1507.06552 [INSPIRE].
U.G. Meisner and J.A. Oller, Testing the χ c1 p composite nature of the P c (4450), Phys. Lett. B 751 (2015) 59 [arXiv:1507.07478] [INSPIRE].
V.V. Anisovich, M.A. Matveev, J. Nyiri, A.V. Sarantsev and A.N. Semenova, Pentaquarks and resonances in the pJ/ψ spectrum, arXiv:1507.07652 [INSPIRE].
G. Buchalla, A.J. Buras and M.E. Lautenbacher, Weak decays beyond leading logarithms, Rev. Mod. Phys. 68 (1996) 1125 [hep-ph/9512380] [INSPIRE].
W. Roberts and M. Pervin, Heavy baryons in a quark model, Int. J. Mod. Phys. A 23 (2008) 2817 [arXiv:0711.2492] [INSPIRE].
X.-G. He and G.-N. Li, Predictive CP violating relations for charmless two-body decays of beauty baryons Ξ −,0 b and Λ 0 b 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].
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: 1507.08252
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Li, GN., He, XG. & He, M. Some predictions of diquark model for hidden charm pentaquark discovered at the LHCb. J. High Energ. Phys. 2015, 1–17 (2015). https://doi.org/10.1007/JHEP12(2015)128
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/JHEP12(2015)128