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Production of high-spin ωJ and ρJ (J=2, 3, 4, 5) mesons in π−p reactions

Ting-Yan Li*, Zi-Yue Bai†, and Xiang Liu‡

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

  • *Contact author: lity2023@lzu.edu.cn
  • †Contact author: baiziyue@lzu.edu.cn
  • ‡Contact author: xiangliu@lzu.edu.cn
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Phys. Rev. D 113, 054050 – Published 30 March, 2026

DOI: https://doi.org/10.1103/4dzr-ny7d

Abstract

In this work, we perform a comprehensive investigation of the production of high-spin ωJ and ρJ mesons (J=2, 3, 4, 5) in π−p reactions using an effective Lagrangian approach. By constructing the relevant t-channel processes and calibrating the model with a single adjustable parameter fitted to existing data, we successfully reproduce the measured total and differential cross sections for the J=3 states ω3(1670) and ρ3(1690). Within the same framework, we predict the production cross sections for their lower- and higher-spin partners; ω2(1975), ρ2(1940), ω4(2250), ρ4(2230), ω5(2350), and ρ5(2350). Our results show that these states exhibit measurable cross sections with characteristically forward-peaked angular distributions, underscoring their strong potential for observation in future πp meson-beam experiments.

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Corrections

13 May, 2026

Correction: Values in matrices in unnumbered equations following Eqs. (1), (15), (17), (19), and (22) have been fixed.

Article Text

References (40)

  1. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  2. X. WANG and X. LIU, Nucl. Phys. Rev. 42, 10 (2025).
  3. Y. Hou, Y. Gao, and X.-Y. Wang, Nucl. Phys. A1050, 122925 (2024).
  4. X.-Y. Wang, H.-F. Zhou, and X. Liu, Phys. Rev. D 110, 014026 (2024).
  5. X.-Y. Wang, H.-F. Zhou, and X. Liu, Phys. Rev. D 108, 034015 (2023).
  6. X.-Y. Wang, F.-C. Zeng, and X. Liu, Phys. Rev. D 106, 036005 (2022).
  7. X.-Y. Wang and J. He, Eur. Phys. J. A 55, 152 (2019).
  8. X.-Y. Wang, J. He, Q. Wang, and H. Xu, Phys. Rev. D 99, 014020 (2019).
  9. Q.-Y. Guo, J. Liu, P. Wu, and D.-Y. Chen, Phys. Rev. C 112, 065201 (2025).
  10. A. V. Anisovich, V. V. Anisovich, and A. V. Sarantsev, Phys. Rev. D 62, 051502 (2000).
  11. L.-P. He, X. Wang, and X. Liu, Phys. Rev. D 88, 034008 (2013).
  12. Z.-Y. Bai, Q.-S. Zhou, and X. Liu, Phys. Rev. D 111, 054013 (2025).
  13. T.-y. Li, Y.-r. Wang, and C.-q. Pang, Phys. Rev. D 107, 074008 (2023).
  14. Y.-R. Wang, T.-Y. Li, Z.-Y. Fang, H. Chen, and C.-Q. Pang, Phys. Rev. D 106, 114024 (2022).
  15. C.-Q. Pang, B. Wang, X. Liu, and T. Matsuki, Phys. Rev. D 92, 014012 (2015).
  16. N. Armenise, A. Forino, and A. M. Cartacci, Phys. Lett. 26B, 336 (1968).
  17. M. J. Corden et al., Nucl. Phys. B138, 235 (1978).
  18. A. Engler, R. W. Kraemer, S. Toaff, F. Weisser, J. Diaz, F. A. DiBianca, W. J. Fickinger, and D. K. Robinson, Phys. Rev. D 10, 2070 (1974).
  19. S. Jafarzade, A. Koenigstein, and F. Giacosa, Phys. Rev. D 103, 096027 (2021).
  20. M. M. Nagels, T. A. Rijken, and Y. Yamamoto, Phys. Rev. C 99, 044003 (2019).
  21. J. Diaz et al., Phys. Rev. Lett. 32, 260 (1974).
  22. J. A. J. Matthews, J. D. Prentice, T. S. Yoon, J. T. Carroll, M. W. Firebaugh, and W. D. Walker, Phys. Rev. D 3, 2561 (1971).
  23. I. R. Kenyon, J. B. Kinson, J. M. Scarr, I. O. Skillicorn, H. O. Cohn, R. D. Mcculloch, W. M. Bugg, G. T. Condo, and M. M. Nussbaum, Phys. Rev. Lett. 23, 146 (1969).
  24. G. Costa et al. (BARI-BONN-CERN-GLASGOW-LIVERPOOL-MILAN-VIENNA Collaboration), Nucl. Phys. B175, 402 (1980).
  25. W. Blum et al. (CERN-MUNICH Collaboration), Phys. Lett. 57B, 403 (1975).
  26. D. Alde et al. (GAMS Collaboration), Nuovo Cimento Soc. Ital. Fis. 107A, 1867 (1994).
  27. S. Ozaki, H. Nagahiro, and A. Hosaka, Phys. Rev. C 81, 035206 (2010).
  28. J. K. Storrow, Phys. Rep. 103, 317 (1984).
  29. M. Guidal, J. M. Laget, and M. Vanderhaeghen, Nucl. Phys. A627, 645 (1997).
  30. A.-C. Wang, N.-C. Wei, and F. Huang, Phys. Rev. C 111, 025205 (2025).
  31. A. V. Anisovich, C. A. Baker, C. J. Batty, D. V. Bugg, L. Montanet, V. A. Nikonov, A. V. Sarantsev, V. V. Sarantsev, and B. S. Zou, Phys. Lett. B 542, 19 (2002).
  32. A. V. Anisovich, C. A. Baker, C. J. Batty, D. V. Bugg, L. Montanet, V. A. Nikonov, A. V. Sarantsev, V. V. Sarantsev, and B. S. Zou, Phys. Lett. B 542, 8 (2002).
  33. A. V. Anisovich, C. A. Baker, C. J. Batty, D. V. Bugg, V. A. Nikonov, A. V. Sarantsev, V. V. Sarantsev, and B. S. Zou, Phys. Lett. B 507, 23 (2001).
  34. A. Hasan and D. V. Bugg, Phys. Lett. B 334, 215 (1994).
  35. A. A. Carter, Nucl. Phys. B141, 467 (1978).
  36. T. A. Rijken, M. M. Nagels, and Y. Yamamoto, Prog. Theor. Phys. Suppl. 185, 14 (2010).
  37. G. Galata, Phys. Rev. C 83, 065203 (2011).
  38. T.-Y. Li, Z.-Y. Bai, and X. Liu (2026). Calculated data [Data set]. Zenodo, 10.5281/zenodo.19212570.
  39. M. Döring, J. Haidenbauer, M. Mai, and T. Sato, Prog. Part. Nucl. Phys. 146, 104213 (2026).
  40. S.-H. Kim, Y. Oh, S. Son, S. Sakinah, and M.-K. Cheoun, Phys. Rev. D 111, 054031 (2025).

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Phys. Rev. D 113, 054050– Published 30 March, 2026
  • Received 28 January 2026
  • Accepted 10 March 2026
  • Corrected 13 May 2026
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