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  • Open Access

Electromagnetic probes revealing the inner structure of the Λc(2940)

Ping Chen*, Zi-Le Zhang†, and Yu Zhuge‡

  • School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China; Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China; and Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Key Laboratory of Quantum Theory and Applications of MoE, and MoE Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China

  • *Contact author: chenp21@lzu.edu.cn
  • †Contact author: zhangzl2023@lzu.edu.cn
  • ‡Contact author: 220220940231@lzu.edu.cn

Phys. Rev. D 112, 056019 – Published 16 September, 2025

DOI: https://doi.org/10.1103/tcnp-2hc5

Abstract

The Λc(2940), an open-charm baryon discovered in 2006, has sparked interest due to its “low mass puzzle,” paralleling the X(3872) in the charmoniumlike sector. Both states challenge conventional hadronic interpretations, with the X(3872) understood as a D*D¯ molecular state and the Λc(2940) hypothesized as a D*N molecular state. This work investigates the radiative decay modes Λc(2940)→Λc(2286)γ, Λc(2940)→Λc(2595)γ, and Λc(2940)→Λc(2765)γ, analogous to radiative transitions observed in the X(3872). Using the one-boson-exchange model to obtain the D*N molecular spatial wave function as input, we calculate decay widths and their ratios, finding differences with different quantum number assumptions. Our findings underscore the potential of electromagnetic probes in revealing its nature and highlight the need for dedicated experimental studies to validate these theoretical predictions.

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References (119)

  1. S. K. Choi et al. (Belle Collaboration), Observation of a narrow charmonium-like state in exclusive B±→K±π+π−J/ψ decays, Phys. Rev. Lett. 91, 262001 (2003).
  2. D. Acosta et al. (CDF Collaboration), Observation of the narrow state X(3872)→J/ψπ+π− in p¯p collisions at s=1.96  TeV, Phys. Rev. Lett. 93, 072001 (2004).
  3. V. M. Abazov et al. (D0 Collaboration), Observation and properties of the X(3872) decaying to J/ψπ+π− in pp¯ collisions at s=1.96  TeV, Phys. Rev. Lett. 93, 162002 (2004).
  4. B. Aubert et al. (BABAR Collaboration), Observation of the decay B→J/ψηK and search for X(3872)→J/ψη, Phys. Rev. Lett. 93, 041801 (2004).
  5. E. S. Swanson, The new heavy mesons: A status report, Phys. Rep. 429, 243 (2006).
  6. H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, The hidden-charm pentaquark and tetraquark states, Phys. Rep. 639, 1 (2016).
  7. H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, A review of the open charm and open bottom systems, Rep. Prog. Phys. 80, 076201 (2017).
  8. A. Esposito, A. Pilloni, and A. D. Polosa, Multiquark resonances, Phys. Rep. 668, 1 (2017).
  9. S. L. Olsen, T. Skwarnicki, and D. Zieminska, Nonstandard heavy mesons and baryons: Experimental evidence, Rev. Mod. Phys. 90, 015003 (2018).
  10. N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, The XYZ states: Experimental and theoretical status and perspectives, Phys. Rep. 873, 1 (2020).
  11. 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).
  12. H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, An updated review of the new Hadron states, Rep. Prog. Phys. 86, 026201 (2023).
  13. M. Z. Liu, Y. W. Pan, Z. W. Liu, T. W. Wu, J. X. Lu, and L. S. Geng, Three ways to decipher the nature of exotic hadrons: Multiplets, three-body hadronic molecules, and correlation functions, Phys. Rep. 1108, 1 (2025).
  14. B. Aubert et al. (BABAR Collaboration), Observation of a charmed baryon decaying to D0p at a mass near 2.94  GeV/c2, Phys. Rev. Lett. 98, 012001 (2007).
  15. K. Abe et al. (Belle Collaboration), Experimental constraints on the possible JP quantum numbers of the Λc(2880)+, Phys. Rev. Lett. 98, 262001 (2007).
  16. H. M. Yang and H. X. Chen, 2P-wave charmed baryons from QCD sum rules, Phys. Rev. D 109, 036032 (2024).
  17. B. Chen, K. W. Wei, and A. Zhang, Assignments of ΛQ and ΞQ baryons in the heavy quark-light diquark picture, Eur. Phys. J. A 51, 82 (2015).
  18. Q. F. Lü, L. Y. Xiao, Z. Y. Wang, and X. H. Zhong, Strong decay of Λc(2940) as a 2P state in the Λc family, Eur. Phys. J. C 78, 599 (2018).
  19. 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).
  20. S. Capstick and N. Isgur, Baryons in a relativized quark model with chromodynamics, Phys. Rev. D 34, 2809 (1986).
  21. H. Garcilazo, J. Vijande, and A. Valcarce, Faddeev study of heavy baryon spectroscopy, J. Phys. G 34, 961 (2007).
  22. Y. Kim, Y. R. Liu, M. Oka, and K. Suzuki, Heavy baryon spectrum with chiral multiplets of scalar and vector diquarks, Phys. Rev. D 104, 054012 (2021).
  23. S. Godfrey and N. Isgur, Mesons in a relativized quark model with chromodynamics, Phys. Rev. D 32, 189 (1985).
  24. E. S. Swanson, Short range structure in the X(3872), Phys. Lett. B 588, 189 (2004).
  25. C. Y. Wong, Molecular states of heavy quark mesons, Phys. Rev. C 69, 055202 (2004).
  26. F. E. Close and P. R. Page, The D*0 anti-D0 threshold resonance, Phys. Lett. B 578, 119 (2004).
  27. M. B. Voloshin, Interference and binding effects in decays of possible molecular component of X(3872), Phys. Lett. B 579, 316 (2004).
  28. Y. R. Liu, X. Liu, W. Z. Deng, and S. L. Zhu, Is X(3872) really a molecular state?, Eur. Phys. J. C 56, 63 (2008).
  29. X. Liu, Z. G. Luo, Y. R. Liu, and S. L. Zhu, X(3872) and other possible heavy molecular states, Eur. Phys. J. C 61, 411 (2009).
  30. M. T. AlFiky, F. Gabbiani, and A. A. Petrov, X(3872): Hadronic molecules in effective field theory, Phys. Lett. B 640, 238 (2006).
  31. C. E. Thomas and F. E. Close, Is X(3872) a molecule?, Phys. Rev. D 78, 034007 (2008).
  32. N. A. Tornqvist, Isospin breaking of the narrow charmonium state of Belle at 3872-MeV as a deuson, Phys. Lett. B 590, 209 (2004).
  33. I. W. Lee, A. Faessler, T. Gutsche, and V. E. Lyubovitskij, X(3872) as a molecular DD¯* state in a potential model, Phys. Rev. D 80, 094005 (2009).
  34. E. Braaten, H. W. Hammer, and T. Mehen, Scattering of an ultrasoft Pion and the X(3872), Phys. Rev. D 82, 034018 (2010).
  35. P. Wang and X. G. Wang, Study on X(3872) from effective field theory with pion exchange interaction, Phys. Rev. Lett. 111, 042002 (2013).
  36. V. Baru, E. Epelbaum, A. A. Filin, C. Hanhart, U. G. Meissner, and A. V. Nefediev, Quark mass dependence of the X(3872) binding energy, Phys. Lett. B 726, 537 (2013).
  37. V. Baru, E. Epelbaum, A. A. Filin, F. K. Guo, H. W. Hammer, C. Hanhart, U. G. Meißner, and A. V. Nefediev, Remarks on study of X(3872) from effective field theory with pion-exchange interaction, Phys. Rev. D 91, 034002 (2015).
  38. J. Song, L. R. Dai, and E. Oset, Evolution of compact states to molecular ones with coupled channels: The case of the X(3872), Phys. Rev. D 108, 114017 (2023).
  39. D. Gamermann, J. Nieves, E. Oset, and E. Ruiz Arriola, Couplings in coupled channels versus wave functions: Application to the X(3872) resonance, Phys. Rev. D 81, 014029 (2010).
  40. N. A. Törnqvist, On deusons or deuteron-like meson meson bound states, Nuovo Cimento Soc. Ital. Fis. 107A, 2471 (1994).
  41. X. G. He, X. Q. Li, X. Liu, and X. Q. Zeng, Λc(2940): A Possible molecular state?, Eur. Phys. J. C 51, 883 (2007).
  42. Y. Dong, A. Faessler, T. Gutsche, and V. E. Lyubovitskij, Role of the hadron molecule Λc(2940) in the pp¯→pD0Λ¯c(2286) annihilation reaction, Phys. Rev. D 90, 094001 (2014).
  43. J. He, Y. T. Ye, Z. F. Sun, and X. Liu, The observed charmed hadron Λc(2940) and the D*N interaction, Phys. Rev. D 82, 114029 (2010).
  44. J. R. Zhang, S-wave D(*)N molecular states: Σc(2800) and Λc(2940)+?, Phys. Rev. D 89, 096006 (2014).
  45. Y. Yan, X. Hu, Y. Wu, H. Huang, J. Ping, and Y. Yang, Pentaquark interpretation of Λc states in the quark model, Eur. Phys. J. C 83, 524 (2023).
  46. M. J. Yan, F. Z. Peng, and M. Pavon Valderrama, Molecular charmed baryons and pentaquarks from light-meson exchange saturation, Phys. Rev. D 109, 014023 (2024).
  47. Q. Xin, X. S. Yang, and Z. G. Wang, The singly charmed pentaquark molecular states via the QCD sum rules, Int. J. Mod. Phys. A 38, 2350123 (2023).
  48. H. Y. Cheng and C. K. Chua, Strong decays of charmed baryons in heavy hadron chiral perturbation theory, Phys. Rev. D 75, 014006 (2007).
  49. Y. Dong, A. Faessler, T. Gutsche, S. Kumano, and V. E. Lyubovitskij, Radiative decay of Λc(2940) in a hadronic molecule picture, Phys. Rev. D 82, 034035 (2010).
  50. X. Y. Wang, A. Guskov, and X. R. Chen, Λc*(2940)+ photoproduction off the neutron, Phys. Rev. D 92, 094032 (2015).
  51. Y. Dong, A. Faessler, T. Gutsche, S. Kumano, and V. E. Lyubovitskij, Strong three-body decays of Λc(2940), Phys. Rev. D 83, 094005 (2011).
  52. Y. Dong, A. Faessler, T. Gutsche, and V. E. Lyubovitskij, Strong two-body decays of the Λc(2940) in a hadronic molecule picture, Phys. Rev. D 81, 014006 (2010).
  53. P. G. Ortega, D. R. Entem, and F. Fernandez, Quark model description of the Λc(2940) as a molecular D*N state and the possible existence of the Λb(6248), Phys. Lett. B 718, 1381 (2013).
  54. B. Wang, L. Meng, and S. L. Zhu, D*N interaction and the structure of Σc(2800) and Λc(2940) in chiral effective field theory, Phys. Rev. D 101, 094035 (2020).
  55. Z. L. Yue, Q. Y. Guo, and D. Y. Chen, Strong decays of the Λc(2910) and Λc(2940) in the D*N molecular frame, Phys. Rev. D 109, 094049 (2024).
  56. Q. Y. Guo and D. Y. Chen, Λc(2910) and Λc(2940) productions in π−p scattering process, Phys. Rev. D 111, 114011 (2025).
  57. P. G. Ortega, D. R. Entem, and F. Fernandez, The Λc(2940)+ as a D*N molecule in a constituent quark model and a possible Λb(6248), Few Body Syst. 54, 1101 (2013).
  58. P. G. Ortega, D. R. Entem, and F. Fernández, Hadronic molecules in the open charm and open bottom baryon spectrum, Phys. Rev. D 90, 114013 (2014).
  59. D. Zhang, D. Yang, X. F. Wang, and K. Nakayama, Possible S-wave ND(*) and NB¯(*) bound states in a chiral quark model, arXiv:1903.01207.
  60. V. Bhardwaj et al. (Belle Collaboration), Observation of X(3872)→J/ψγ and search for X(3872)→ψ′γ in B decays, Phys. Rev. Lett. 107, 091803 (2011).
  61. B. Aubert et al. (BABAR Collaboration), Evidence for X(3872)→ψ2Sγ in B±→X(3872)K± decays, and a study of B→cc¯γK, Phys. Rev. Lett. 102, 132001 (2009).
  62. R. Aaij et al. (LHCb Collaboration), Evidence for the decay X(3872)→ψ(2S)γ, Nucl. Phys. B886, 665 (2014).
  63. M. Ablikim et al. (BESIII Collaboration), Study of open-charm decays and radiative transitions of the X(3872), Phys. Rev. Lett. 124, 242001 (2020).
  64. I. Bezshyiko et al. (LHCb Collaboration), Probing the nature of the χc1(3872) state using radiative decays, J. High Energy Phys. 11 (2024) 121.
  65. T. Barnes and S. Godfrey, Charmonium options for the X(3872), Phys. Rev. D 69, 054008 (2004).
  66. A. M. Badalian, V. D. Orlovsky, Y. A. Simonov, and B. L. G. Bakker, The ratio of decay widths of X(3872) to ψ′γ and J/ψγ as a test of the X(3872) dynamical structure, Phys. Rev. D 85, 114002 (2012).
  67. T. H. Wang and G. L. Wang, Radiative E1 decays of X(3872), Phys. Lett. B 697, 233 (2011).
  68. T. Mehen and R. Springer, Radiative decays X(3872)→ψ(2S)γ and ψ(4040)→X(3872)γ in effective field theory, Phys. Rev. D 83, 094009 (2011).
  69. B. Q. Li and K. T. Chao, Higher charmonia and X,Y,Z states with screened potential, Phys. Rev. D 79, 094004 (2009).
  70. T. A. Lahde, Exchange current operators and electromagnetic dipole transitions in heavy quarkonia, Nucl. Phys. A714, 183 (2003).
  71. T. Barnes, S. Godfrey, and E. S. Swanson, Higher charmonia, Phys. Rev. D 72, 054026 (2005).
  72. S. Y. Yu and X. W. Kang, Nature of X(3872) from its radiative decay, Phys. Lett. B 848, 138404 (2024).
  73. E. J. Eichten, K. Lane, and C. Quigg, New states above charm threshold, Phys. Rev. D 73, 014014 (2006); 73, 079903(E) (2006).
  74. M. Cardoso, G. Rupp, and E. van Beveren, Unquenched quark-model calculation of X(3872) electromagnetic decays, Eur. Phys. J. C 75, 26 (2015).
  75. E. S. Swanson, Diagnostic decays of the X(3872), Phys. Lett. B 598, 197 (2004).
  76. F. K. Guo, C. Hanhart, Y. S. Kalashnikova, U. G. Meißner, and A. V. Nefediev, What can radiative decays of the X(3872) teach us about its nature?, Phys. Lett. B 742, 394 (2015).
  77. Y. Dong, A. Faessler, T. Gutsche, and V. E. Lyubovitskij, J/ψγ and ψ(2S)γ decay modes of the X(3872), J. Phys. G 38, 015001 (2011).
  78. P. Chen, Z. W. Liu, Z. L. Zhang, S. Q. Luo, F. L. Wang, J. Z. Wang, and X. Liu, Role of electromagnetic interactions in the X(3872) and its analogs, Phys. Rev. D 109, 094002 (2024).
  79. G. Burdman and J. F. Donoghue, Union of chiral and heavy quark symmetries, Phys. Lett. B 280, 287 (1992).
  80. S. Ahmed et al. (CLEO Collaboration), First measurement of Γ(D*+), Phys. Rev. Lett. 87, 251801 (2001).
  81. M. Bando, T. Kugo, and K. Yamawaki, Nonlinear realization and hidden local symmetries, Phys. Rep. 164, 217 (1988).
  82. C. Isola, M. Ladisa, G. Nardulli, and P. Santorelli, Charming penguins in B→K*π, K(ρ,ω,ϕ) decays, Phys. Rev. D 68, 114001 (2003).
  83. R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phenomenology of heavy meson chiral Lagrangians, Phys. Rep. 281, 145 (1997).
  84. X. Liu, Y. R. Liu, W. Z. Deng, and S. L. Zhu, Z+(4430) as a D1′D*(D1D*) molecular state, Phys. Rev. D 77, 094015 (2008).
  85. K. Tsushima, A. Sibirtsev, A. W. Thomas, and G. Q. Li, Resonance model study of kaon production in baryon baryon reactions for heavy ion collisions, Phys. Rev. C 59, 369 (1999); 61, 029903(E) (2000).
  86. A. Engel, A. K. Dutt-Mazumder, R. Shyam, and U. Mosel, Pion production in proton proton collisions in a covariant one boson exchange model, Nucl. Phys. A603, 387 (1996).
  87. R. Machleidt, The high precision, charge dependent Bonn nucleon-nucleon potential (CD-Bonn), Phys. Rev. C 63, 024001 (2001).
  88. X. Cao, B. S. Zou, and H. S. Xu, Phenomenological analysis of the double pion production in nucleon-nucleon collisions up to 2.2 GeV, Phys. Rev. C 81, 065201 (2010).
  89. 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).
  90. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
  91. V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitaevsky, Quantum Electrodynamics (Pergamon Press, New York, 1982).
  92. N. A. Törnqvist, From the deuteron to deusons, an analysis of deuteronlike meson-meson bound states, Z. Phys. C 61, 525 (1994).
  93. E. Hiyama, Y. Kino, and M. Kamimura, Gaussian expansion method for few-body systems, Prog. Part. Nucl. Phys. 51, 223 (2003).
  94. E. Hiyama, Y. Kino, and M. Kamimura, Gaussian expansion method for few-body systems and its applications to atomic and nuclear physics, Prog. Theor. Exp. Phys. 2012, 01A204 (2012).
  95. R. Aaij et al. (LHCb Collaboration), Study of the D0p amplitude in Λb0→D0pπ− decays, J. High Energy Phys. 05 (2017) 030.
  96. B. Chen, K. W. Wei, X. Liu, and T. Matsuki, Low-lying charmed and charmed-strange baryon states, Eur. Phys. J. C 77, 154 (2017).
  97. Z. G. Wang and H. J. Wang, Analysis of the 1S and 2S states of ΛQ and ΞQ with QCD sum rules, Chin. Phys. C 45, 013109 (2021).
  98. Y. B. Zhang, L. Y. Xiao, and X. H. Zhong, Possible explanations of the observed Λc resonances, Chin. Phys. C 49, 112001 (2025).
  99. Q. F. Lü, Y. Dong, X. Liu, and T. Matsuki, Puzzle of the Λc spectrum, Nucl. Phys. Rev. 35, 1 (2018).
  100. J. He, Z. Ouyang, X. Liu, and X. Q. Li, Production of charmed baryon Λc(2940) at PANDA, Phys. Rev. D 84, 114010 (2011).
  101. K. S. Qiao and B. S. Zou, Investigation of Λc states and D¯N molecule production at the EicC and EIC, Phys. Rev. D 111, 056029 (2025).
  102. Z. L. Zhang, Z. W. Liu, S. Q. Luo, F. L. Wang, B. Wang, and H. Xu, Λc(2910)+ and Λc(2940) as conventional baryons dressed with the D*N channel, Phys. Rev. D 107, 034036 (2023).
  103. Z. w. Lin, C. M. Ko, and B. Zhang, Hadronic scattering of charm mesons, Phys. Rev. C 61, 024904 (2000).
  104. W. Liu, C. M. Ko, and Z. W. Lin, Cross-section for charmonium absorption by nucleons, Phys. Rev. C 65, 015203 (2002).
  105. A. Khodjamirian, C. Klein, T. Mannel, and Y. M. Wang, Form factors and strong couplings of heavy baryons from QCD light-cone sum rules, J. High Energy Phys. 09 (2011) 106.
  106. F. O. Duraes, F. S. Navarra, and M. Nielsen, How hard are the form-factors in hadronic vertices with heavy mesons?, Phys. Lett. B 498, 169 (2001).
  107. F. S. Navarra and M. Nielsen, gDNΛc from QCD sum rules, Phys. Lett. B 443, 285 (1998).
  108. H. Haberzettl, K. Nakayama, and S. Krewald, Gauge-invariant approach to meson photoproduction including the final-state interaction, Phys. Rev. C 74, 045202 (2006).
  109. F. Huang, M. Doring, H. Haberzettl, J. Haidenbauer, C. Hanhart, S. Krewald, U. G. Meissner, and K. Nakayama, Pion photoproduction in a dynamical coupled-channels model, Phys. Rev. C 85, 054003 (2012).
  110. P. Gao, J. J. Wu, and B. S. Zou, Possible Σ(12−) under the Σ*(1385) peak in KΣ* photoproduction, Phys. Rev. C 81, 055203 (2010).
  111. Y. Huang, J. J. Xie, J. He, X. Chen, and H. F. Zhang, Photoproduction of hidden-charm states in the γp→D¯*0Λc+ reaction near threshold, Chin. Phys. C 40, 124104 (2016).
  112. S. Q. Luo, Z. W. Liu, and X. Liu, New type of hydrogenlike charm-pion or charm-kaon matter, Phys. Rev. D 107, 054022 (2023).
  113. Y. J. Zhang, H. C. Chiang, P. N. Shen, and B. S. Zou, Possible S-wave bound-states of two pseudoscalar mesons, Phys. Rev. D 74, 014013 (2006).
  114. Z. L. Zhang, Z. W. Liu, S. Q. Luo, P. Chen, and Z. H. Guo, Masses and radiative decay widths of Ds0*(2317) and Ds1′(2460) and their bottom analogs, Phys. Rev. D 110, 094037 (2024).
  115. K. Gong, H. Y. Jing, and A. Zhang, Possible assignments of highly excited Λc(2860)+, Λc(2880)+ and Λc(2940)+, Eur. Phys. J. C 81, 467 (2021).
  116. R. Koniuk and N. Isgur, Baryon decays in a quark model with chromodynamics, Phys. Rev. D 21, 1868 (1980); 23, 818(E) (1981).
  117. Y. X. Peng, S. Q. Luo, and X. Liu, Refining radiative decay studies in singly heavy baryons, Phys. Rev. D 110, 074034 (2024).
  118. W. J. Deng, H. Liu, L. C. Gui, and X. H. Zhong, Charmonium spectrum and their electromagnetic transitions with higher multipole contributions, Phys. Rev. D 95, 034026 (2017).
  119. P. Chen, Z. L. Zhang, and Y. Zhuge, The wave functions and radiative decay widths of Λc(2940), 10.5281/zenodo.16961102 (2025).

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