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Testing the nature of the Σ*(1430)

Jia-Xin Lin1,2, Jing Song3,4,2,*, Miguel Albaladejo5,†, Albert Feijoo5,‡, and Eulogio Oset2,6,§

  • *Contact author: Song-Jing@buaa.edu.cn
  • †Contact author: Miguel.Albaladejo@ific.uv.es
  • ‡Contact author: edfeijoo@ific.uv.es
  • §Contact author: oset@ific.uv.es
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Phys. Rev. D 112, 014044 – Published 28 July, 2025

DOI: https://doi.org/10.1103/qpcf-d9k3

Abstract

We study the feasibility of having the Σ*(1430) state, predicted within the chiral unitary approach and recently reported by the Belle Collaboration, as corresponding to a state of a nonmolecular nature. Starting from this assumption, since the state is observed in the πΛ channel, we allow the coupling to this state and relate the coupling to K¯N and πΣ using SU(3) symmetry arguments. We find that it is possible to have such a state with negligible coupling to the molecular components with a bare mass of the state very close to the physical mass of the Σ*(1430). Yet this has consequences on other observables, since the width obtained is extremely small and incompatible with the Belle observations, and it leads to abnormally large values of the K¯N effective range. Conversely, such mismatches do not appear for large values of the bare mass of the state, but in this case, we observe that the state develops large molecular components. While one can rule out a largely nonmolecular nature for this state, its properties and detailed nature will need further experimental developments which one can anticipate will be coming in the near future.

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References (69)

  1. E. Klempt and J.-M. Richard, Rev. Mod. Phys. 82, 1095 (2010).
  2. V. Crede and W. Roberts, Rep. Prog. Phys. 76, 076301 (2013).
  3. N. Isgur and G. Karl, Phys. Rev. D 18, 4187 (1978).
  4. T. Hyodo and D. Jido, Prog. Part. Nucl. Phys. 67, 55 (2012).
  5. R. H. Dalitz and S. F. Tuan, Phys. Rev. Lett. 2, 425 (1959).
  6. R. H. Dalitz and S. F. Tuan, Ann. Phys. (N.Y.) 10, 307 (1960).
  7. N. Kaiser, P. B. Siegel, and W. Weise, Nucl. Phys. A594, 325 (1995).
  8. E. Oset and A. Ramos, Nucl. Phys. A635, 99 (1998).
  9. J. A. Oller and U. G. Meissner, Phys. Lett. B 500, 263 (2001).
  10. D. Jido, J. A. Oller, E. Oset, A. Ramos, and U. G. Meissner, Nucl. Phys. A725, 181 (2003).
  11. C. Helminen and D. O. Riska, Nucl. Phys. A699, 624 (2002).
  12. J. Nieves, A. Feijoo, M. Albaladejo, and M.-L. Du, Prog. Part. Nucl. Phys. 137, 104118 (2024).
  13. M. Conde-Correa, T. Aguilar, A. Capelo-Astudillo, A. Duenas-Vidal, J. Segovia, and P. G. Ortega, Phys. Rev. D 110, 094019 (2024).
  14. S. Capstick and W. Roberts, Prog. Part. Nucl. Phys. 45, S241 (2000).
  15. Y.-F. Wang, U.-G. Meißner, D. Rönchen, and C.-W. Shen, Phys. Rev. C 109, 015202 (2024).
  16. N. Kaiser, T. Waas, and W. Weise, Nucl. Phys. A612, 297 (1997).
  17. J. Nieves and E. Ruiz Arriola, Phys. Rev. D 64, 116008 (2001).
  18. T. Inoue, E. Oset, and M. J. Vicente Vacas, Phys. Rev. C 65, 035204 (2002).
  19. L. Hannelius and D. O. Riska, Phys. Rev. C 62, 045204 (2000).
  20. B. S. Zou and D. O. Riska, Phys. Rev. Lett. 95, 072001 (2005).
  21. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  22. C. Garcia-Recio, M. F. M. Lutz, and J. Nieves, Phys. Lett. B 582, 49 (2004).
  23. Y. Ma et al. (Belle Collaboration), Phys. Rev. Lett. 130, 151903 (2023).
  24. E. Wang, L.-S. Geng, J.-J. Wu, J.-J. Xie, and B.-S. Zou, Chin. Phys. Lett. 41, 101401 (2024).
  25. C. Garcia-Recio, J. Nieves, E. Ruiz Arriola, and M. J. Vicente Vacas, Phys. Rev. D 67, 076009 (2003).
  26. J. A. Oller, Eur. Phys. J. A 28, 63 (2006).
  27. Y. Kamiya, K. Miyahara, S. Ohnishi, Y. Ikeda, T. Hyodo, E. Oset, and W. Weise, Nucl. Phys. A954, 41 (2016).
  28. K. P. Khemchandani, A. Martínez Torres, and J. A. Oller, Phys. Rev. C 100, 015208 (2019).
  29. L. Roca and E. Oset, Phys. Rev. C 88, 055206 (2013).
  30. E. Wang, J.-J. Xie, and E. Oset, Phys. Lett. B 753, 526 (2016).
  31. L.-J. Liu, E. Wang, J.-J. Xie, K.-L. Song, and J.-Y. Zhu, Phys. Rev. D 98, 114017 (2018).
  32. J.-J. Xie and E. Oset, Phys. Lett. B 792, 450 (2019).
  33. R. H. Dalitz and A. Deloff, Czech. J. Phys. B 32, 1021 (1982).
  34. H.-P. Li, C.-W. Xiao, W.-H. Liang, J.-J. Wu, E. Wang, and E. Oset, Phys. Rev. D 110, 114018 (2024).
  35. L. R. Dai, J. Song, and E. Oset, Phys. Lett. B 846, 138200 (2023).
  36. J. Song, L. R. Dai, and E. Oset, Phys. Rev. D 108, 114017 (2023).
  37. S. Weinberg, Phys. Rev. 137, B672 (1965).
  38. F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
  39. M. Albaladejo and J. Nieves, Eur. Phys. J. C 82, 724 (2022).
  40. D. Gamermann, J. Nieves, E. Oset, and E. Ruiz Arriola, Phys. Rev. D 81, 014029 (2010).
  41. T. Hyodo, Int. J. Mod. Phys. A 28, 1330045 (2013).
  42. V. Baru, J. Haidenbauer, C. Hanhart, Y. Kalashnikova, and A. E. Kudryavtsev, Phys. Lett. B 586, 53 (2004).
  43. V. Baru, C. Hanhart, Y. S. Kalashnikova, A. E. Kudryavtsev, and A. V. Nefediev, Eur. Phys. J. A 44, 93 (2010).
  44. V. Baru, X.-K. Dong, M.-L. Du, A. Filin, F.-K. Guo, C. Hanhart, A. Nefediev, J. Nieves, and Q. Wang, Phys. Lett. B 833, 137290 (2022).
  45. T. Hyodo, D. Jido, and A. Hosaka, Phys. Rev. C 85, 015201 (2012).
  46. C. Hanhart, Y. S. Kalashnikova, and A. V. Nefediev, Eur. Phys. J. A 47, 101 (2011).
  47. F. Aceti and E. Oset, Phys. Rev. D 86, 014012 (2012).
  48. T. Hyodo, Phys. Rev. Lett. 111, 132002 (2013).
  49. T. Sekihara, T. Hyodo, and D. Jido, Prog. Theor. Exp. Phys. 2015, 063D04 (2015).
  50. C. Hanhart, J. R. Pelaez, and G. Rios, Phys. Lett. B 739, 375 (2014).
  51. Z.-H. Guo and J. A. Oller, Phys. Rev. D 93, 096001 (2016).
  52. T. Sekihara, T. Arai, J. Yamagata-Sekihara, and S. Yasui, Phys. Rev. C 93, 035204 (2016).
  53. Y. Kamiya and T. Hyodo, Phys. Rev. C 93, 035203 (2016).
  54. M. Albaladejo, D. Jido, J. Nieves, and E. Oset, Eur. Phys. J. C 76, 300 (2016).
  55. T. Sekihara, Phys. Rev. C 95, 025206 (2017).
  56. Y. Kamiya and T. Hyodo, Prog. Theor. Exp. Phys. 2017, 023D02 (2017).
  57. M. Albaladejo, P. Fernandez-Soler, J. Nieves, and P. G. Ortega, Eur. Phys. J. C 78, 722 (2018).
  58. I. Matuschek, V. Baru, F.-K. Guo, and C. Hanhart, Eur. Phys. J. A 57, 101 (2021).
  59. M. Albaladejo, J. M. Nieves, and L. Tolos, Phys. Rev. C 104, 035203 (2021).
  60. M. Albaladejo, Phys. Lett. B 829, 137052 (2022).
  61. Y. Li, F.-K. Guo, J.-Y. Pang, and J.-J. Wu, Phys. Rev. D 105, L071502 (2022).
  62. L. R. Dai, L. M. Abreu, A. Feijoo, and E. Oset, Eur. Phys. J. C 83, 983 (2023).
  63. A. Feijoo, L. R. Dai, L. M. Abreu, and E. Oset, Phys. Rev. D 109, 016014 (2024).
  64. P.-P. Shi, M. Albaladejo, M.-L. Du, F.-K. Guo, and J. Nieves, Phys. Rev. D 111, 074043 (2025).
  65. T. Kinugawa and T. Hyodo, Eur. Phys. J. A 61, 154 (2025).
  66. V. Montesinos, M. Albaladejo, J. Nieves, and L. Tolos, Phys. Lett. B 853, 138656 (2024).
  67. T. Kinugawa and T. Hyodo, arXiv:2403.12635.
  68. F. Aceti, L. R. Dai, L. S. Geng, E. Oset, and Y. Zhang, Eur. Phys. J. A 50, 57 (2014).
  69. T. Ji, X.-K. Dong, F.-K. Guo, C. Hanhart, and U.-G. Meißner, arXiv:2502.04458.

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Phys. Rev. D 112, 014044– Published 28 July, 2025
  • Received 30 May 2025
  • Accepted 27 June 2025
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