- Open Access
as a scaling point to establish the excited family
Phys. Rev. D 114, 014038 – Published 20 July, 2026
DOI: https://doi.org/10.1103/62lj-n7qw
Abstract
The low-lying orbital excitations of baryons are studied within the chiral quark model combined with the decay mechanism. Motivated by the LHCb observation that is a -mode state with , we take it as a reference to constrain model parameters and perform a systematic analysis of states below 3.1 GeV. Our results provide a consistent interpretation of the observed spectrum: and are well described as a -mode doublet, the structures around 2.9 GeV can be interpreted as -wave excitations with mixed modes, and is consistent with a assignment. Furthermore, together with forms a -mode -wave doublet, while favors a assignment. These results provide a coherent picture of the low-lying spectrum and call for further experimental tests.
Physics Subject Headings (PhySH)
Article Text
References (73)
- S. Navas et al., Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- B. Aubert et al., A study of and decays at BABAR, Phys. Rev. D 77, 031101 (2008).
- Y. B. Li et al., Evidence of a structure in consistent with a charged , and updated measurement of at Belle, Eur. Phys. J. C 78, 928 (2018).
- B. Aubert et al., A study of excited charm-strange baryons with evidence for new baryons and , Phys. Rev. D 77, 012002 (2008).
- J. Yelton et al., Study of excited states decaying into and baryons, Phys. Rev. D 94, 052011 (2016).
- T. Lesiak et al., Measurement of masses of the and baryons and observation of , Phys. Lett. B 665, 9 (2008).
- R. Aaij et al., Observation of a new charmed baryon decaying to , arXiv:2502.18987.
- H. Bahtiyar, K. U. Can, G. Erkol, P. Gubler, M. Oka, and T. T. Takahashi, Charmed baryon spectrum from lattice QCD near the physical point, Phys. Rev. D 102, 054513 (2020).
- H.-X. Chen, Q. Mao, A. Hosaka, X. Liu, and S.-L. Zhu, -wave charmed and bottomed baryons from QCD sum rules, Phys. Rev. D 94, 114016 (2016).
- H.-X. Chen, W. Chen, Q. Mao, A. Hosaka, X. Liu, and S.-L. Zhu, -wave charmed baryons from QCD sum rules, Phys. Rev. D 91, 054034 (2015).
- D. Ebert, R. N. Faustov, and V. O. Galkin, Spectroscopy and Regge trajectories of heavy baryons in the relativistic quark-diquark picture, Phys. Rev. D 84, 014025 (2011).
- W. Roberts and M. Pervin, Heavy baryons in a quark model, Int. J. Mod. Phys. A 23, 2817 (2008).
- G.-L. Yu, Z.-Y. Li, Z.-G. Wang, J. Lu, and M. Yan, Systematic analysis of single heavy baryons , and , Nucl. Phys. B990, 116183 (2023).
- Z.-Y. Li, G.-L. Yu, Z.-G. Wang, and J.-Z. Gu, Heavy-quark dominance and fine structure of excited heavy baryons , and , Eur. Phys. J. C 84, 1310 (2024).
- B. Chen, K.-W. Wei, and A. Zhang, Assignments of and baryons in the heavy quark-light diquark picture, Eur. Phys. J. A 51, 82 (2015).
- J. Vijande, F. Fernandez, and A. Valcarce, Constituent quark model study of the meson spectra, J. Phys. G 31, 481 (2005).
- J. Segovia, D. R. Entem, and F. Fernandez, Is chiral symmetry restored in the excited meson spectrum?, Phys. Lett. B 662, 33 (2008).
- J. Segovia, A. M. Yasser, D. R. Entem, and F. Fernandez, hidden charm resonances, Phys. Rev. D 78, 114033 (2008).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernández, Canonical description of the new LHCb resonances, Phys. Rev. D 94, 114018 (2016).
- R. Aaij et al., Observation of new baryons decaying to , Phys. Rev. Lett. 124, 222001 (2020).
- F. Fernandez, A. Valcarce, U. Straub, and A. Faessler, The nucleon-nucleon interaction in terms of quark degrees of freedom, J. Phys. G 19, 2013 (1993).
- A. Valcarce, F. Fernandez, A. Buchmann, and A. Faessler, Can one simultaneously describe the deuteron properties and the nucleon-nucleon phase shifts in the quark cluster model?, Phys. Rev. C 50, 2246 (1994).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernandez, Molecular components in -wave charmed-strange mesons, Phys. Rev. D 94, 074037 (2016).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernández, Threshold effects in -wave bottom-strange mesons, Phys. Rev. D 95, 034010 (2017).
- J. Vijande, A. Valcarce, and K. Tsushima, Dynamical study of mesons, Phys. Rev. D 74, 054018 (2006).
- G. Yang, J. Ping, and J. Segovia, Tetra- and penta-quark structures in the constituent quark model, Symmetry 12, 1869 (2020).
- H. Huang, C. Deng, X. Liu, Y. Tan, and J. Ping, Tetraquarks and pentaquarks from quark model perspective, Symmetry 15, 1298 (2023).
- Y. Tan, Z.-X. Ma, X. Chen, X. Hu, Y. Yang, Q. Huang, and J. Ping, Investigating the nature of N(1535) and in a quenched chiral quark model, Phys. Rev. D 111, 096018 (2025).
- Y. Yao, X. Liu, X. Chen, Y. Wu, J. Ping, Y. Tan, and Q. Huang, Investigation of resonances in the system based on the chiral quark model*, Chin. Phys. 50, 023109 (2026).
- L.-Y. Xiao, X. Cao, and X.-H. Zhong, Neutral pion photoproduction on the nucleon in a chiral quark model, Phys. Rev. C 92, 035202 (2015).
- R. Aaij et al., First determination of the spin-parity of baryons, Phys. Rev. Lett. 134, 081901 (2025).
- H.-Y. Cheng, Charmed baryon physics circa 2021, Chin. J. Phys. (Taipei) 78, 324 (2022).
- C. Chen, X.-L. Chen, X. Liu, W.-Z. Deng, and S.-L. Zhu, Strong decays of charmed baryons, Phys. Rev. D 75, 094017 (2007).
- E. Hiyama, Y. Kino, and M. Kamimura, Gaussian expansion method for few-body systems, Prog. Part. Nucl. Phys. 51, 223 (2003).
- X. Hu, Y. Tan, and J. Ping, Investigation of in a chiral quark model, Eur. Phys. J. C 81, 370 (2021).
- G. Yang, J. Ping, and J. Segovia, tetraquarks in the chiral quark model, Phys. Rev. D 102, 054023 (2020).
- Y. Tan and J. Ping, X(2900) in a chiral quark model, Chin. Phys. C 45, 093104 (2021).
- Q.-F. Lü, L.-Y. Xiao, Z.-Y. Wang, and X.-H. Zhong, Strong decay of as a state in the family, Eur. Phys. J. C 78, 599 (2018).
- X. Liu, Z.-G. Luo, and Z.-F. Sun, X(3915) and X(4350) as new members in -wave charmonium family, Phys. Rev. Lett. 104, 122001 (2010).
- L. Micu, Decay rates of meson resonances in a quark model, Nucl. Phys. B10, 521 (1969).
- A. Le Yaouanc, L. Oliver, O. Pene, and J. C. Raynal, Hadron transitions in the quark model (Gordon and Breach Science Publishers Inc., New York, 1988).
- E. S. Ackleh, T. Barnes, and E. S. Swanson, On the mechanism of open flavor strong decays, Phys. Rev. D 54, 6811 (1996).
- W. Roberts and B. Silvestre-Brac, General method of calculation of any hadronic decay in the model, Few Body Syst. 11, 171 (1992).
- X. Xie, J. Tong, Q. Huang, H. Huang, and J. Ping, Strong decays of singly heavy baryons, arXiv:2504.10183.
- X. Chen and Y. Tan, Light quarkonium and charmonium mass shifts in an unquenched quark model*, Chin. Phys. C 48, 093107 (2024).
- X. Chen, J. Ping, C. D. Roberts, and J. Segovia, Light-meson masses in an unquenched quark model, Phys. Rev. D 97, 094016 (2018).
- J. P. Alexander et al., Evidence of new states decaying into , Phys. Rev. Lett. 83, 3390 (1999).
- S. E. Csorna et al., Evidence of new states decaying into , Phys. Rev. Lett. 86, 4243 (2001).
- R. Chistov et al., Observation of new states decaying into and , Phys. Rev. Lett. 97, 162001 (2006).
- H.-M. Yang, H.-X. Chen, and Q. Mao, Identifying the baryons observed by LHCb as -wave baryons, Phys. Rev. D 102, 114009 (2020).
- K.-L. Wang, L.-Y. Xiao, and X.-H. Zhong, Understanding the newly observed states through their decays, Phys. Rev. D 102, 034029 (2020).
- Q.-F. Lü, Canonical interpretations of the newly observed , , and resonances, Eur. Phys. J. C 80, 921 (2020).
- R. G. Edwards, N. Mathur, D. G. Richards, and S. J. Wallace, Flavor structure of the excited baryon spectra from lattice QCD, Phys. Rev. D 87, 054506 (2013).
- M. Padmanath, R. G. Edwards, N. Mathur, and M. Peardon, Excited-state spectroscopy of singly, doubly and triply-charmed baryons from lattice QCD, in 6th International Workshop on Charm Physics (2013).
- C. E. Jimenez-Tejero, A. Ramos, and I. Vidana, Dynamically generated open charmed baryons beyond the zero range approximation, Phys. Rev. C 80, 055206 (2009).
- O. Romanets, L. Tolos, C. Garcia-Recio, J. Nieves, L. L. Salcedo, and R. G. E. Timmermans, Charmed and strange baryon resonances with heavy-quark spin symmetry, Phys. Rev. D 85, 114032 (2012).
- Q. X. Yu, R. Pavao, V. R. Debastiani, and E. Oset, Description of the and states as molecular states, Eur. Phys. J. C 79, 167 (2019).
- J. Nieves, R. Pavao, and L. Tolos, and excited states within a model, Eur. Phys. J. C 80, 22 (2020).
- H. Zhu, N. Ma, and Y. Huang, Description of the newly observed states as molecular states, Eur. Phys. J. C 80, 1184 (2020).
- R. Aaij et al., Study of the decay, Phys. Rev. D 108, 012020 (2023).
- T. J. Moon et al., First determination of the spin and parity of the charmed-strange baryon , Phys. Rev. D 103, L111101 (2021).
- Z. Shah, K. Thakkar, A. Kumar Rai, and P. C. Vinodkumar, Excited state mass spectra of singly charmed baryons, Eur. Phys. J. A 52, 313 (2016).
- S. Migura, D. Merten, B. Metsch, and H.-R. Petry, Charmed baryons in a relativistic quark model, Eur. Phys. J. A 28, 41 (2006).
- Z. Zhao, Theoretical interpretation of , Phys. Rev. D 102, 096021 (2020).
- Y. Kato et al., Studies of charmed strange baryons in the final state at Belle, Phys. Rev. D 94, 032002 (2016).
- A. Valcarce, H. Garcilazo, and J. Vijande, Towards an understanding of heavy baryon spectroscopy, Eur. Phys. J. A 37, 217 (2008).
- X.-H. Guo, K.-W. Wei, and X.-H. Wu, Some mass relations for mesons and baryons in Regge phenomenology, Phys. Rev. D 78, 056005 (2008).
- H.-Y. Cheng and C.-K. Chua, Strong decays of charmed baryons in heavy hadron chiral perturbation theory, Phys. Rev. D 75, 014006 (2007).
- H.-Y. Cheng and C.-K. Chua, Strong decays of charmed baryons in heavy hadron chiral perturbation theory: An update, Phys. Rev. D 92, 074014 (2015).
- L.-H. Liu, L.-Y. Xiao, and X.-H. Zhong, Charm-strange baryon strong decays in a chiral quark model, Phys. Rev. D 86, 034024 (2012).
- Z.-G. Wang, F. Lu, and Y. Liu, Analysis of the D-wave -type charmed baryon states with the QCD sum rules, Eur. Phys. J. C 83, 689 (2023).
- Z.-G. Wang, The , , and as -wave baryon states in QCD, Nucl. Phys. B926, 467 (2018).
- Y. Kato et al., Search for doubly charmed baryons and study of charmed strange baryons at Belle, Phys. Rev. D 89, 052003 (2014).