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  • Letter
  • Open Access

Extraction of the proton mass radius from the vector meson photoproductions near thresholds

Rong Wang1,2,*, Wei Kou1,2,†, Ya-Ping Xie1,2,‡, and Xurong Chen1,2,3,§

  • 1Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China

  • *rwang@impcas.ac.cn
  • †kouwei@impcas.ac.cn
  • ‡xieyaping@impcas.ac.cn
  • §xchen@impcas.ac.cn
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Phys. Rev. D 103, L091501 – Published 11 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L091501

Abstract

We present an analysis of the proton mass radius by studying the t dependence of the differential cross sections of the vector meson photoproductions near the thresholds. At low energy, the photoproduction of a quarkonium off the proton is connected to the scalar gravitational form factor of the proton, which is sensitive to the proton mass distribution from the quantum chromodynamics trace anomaly. Under an assumption of the scalar form factor of dipole form, the proton mass radius is extracted via the near-threshold photoproduction data of J/ψ, ϕ, and ω vector mesons. The average value of the proton mass radius is estimated to be ⟨Rm2⟩=0.67±0.03  fm, with the dipole cutoff ms=1.01±0.04  GeV.

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References (54)

  1. P. A. Zyla et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
  2. I. Y. Kobzarev and L. B. Okun, Zh. Eksp. Teor. Fiz. 43, 1904 (1962).
  3. H. Pagels, Phys. Rev. 144, 1250 (1966).
  4. X.-D. Ji, Phys. Rev. D 55, 7114 (1997).
  5. X. Ji and Y. Liu, arXiv:2101.04483.
  6. X. Ji, arXiv:2102.07830.
  7. X.-D. Ji, Phys. Rev. Lett. 74, 1071 (1995).
  8. X.-D. Ji, Phys. Rev. D 52, 271 (1995).
  9. C. Lorcé, Eur. Phys. J. C 78, 120 (2018).
  10. Y.-B. Yang, J. Liang, Y.-J. Bi, Y. Chen, T. Draper, K.-F. Liu, and Z. Liu, Phys. Rev. Lett. 121, 212001 (2018).
  11. A. Ali et al. (GlueX Collaboration), Phys. Rev. Lett. 123, 072001 (2019).
  12. R. Wang, J. Evslin, and X. Chen, Eur. Phys. J. C 80, 507 (2020).
  13. A. Metz, B. Pasquini, and S. Rodini, Phys. Rev. D 102, 114042 (2020).
  14. S. Rodini, A. Metz, and B. Pasquini, J. High Energy Phys. 09 (2020) 067.
  15. X.-D. Ji, Phys. Rev. D 58, 056003 (1998).
  16. O. V. Teryaev, Front. Phys. (Beijing) 11, 111207 (2016).
  17. M. V. Polyakov, Phys. Lett. B 555, 57 (2003).
  18. M. V. Polyakov and P. Schweitzer, Int. J. Mod. Phys. A 33, 1830025 (2018).
  19. X.-D. Ji, Phys. Rev. Lett. 78, 610 (1997).
  20. V. D. Burkert, L. Elouadrhiri, and F. X. Girod, Nature (London) 557, 396 (2018).
  21. D. E. Kharzeev, arXiv:2102.00110.
  22. P. E. Shanahan and W. Detmold, Phys. Rev. D 99, 014511 (2019).
  23. K. A. Mamo and I. Zahed, Phys. Rev. D 101, 086003 (2020).
  24. K. Azizi and U. Özdem, Eur. Phys. J. C 80, 104 (2020).
  25. M. J. Neubelt, A. Sampino, J. Hudson, K. Tezgin, and P. Schweitzer, Phys. Rev. D 101, 034013 (2020).
  26. A. Freese and I. C. Cloët, Phys. Rev. C 100, 015201 (2019).
  27. J.-W. Chen and X.-d. Ji, Phys. Rev. Lett. 88, 052003 (2002).
  28. A. V. Belitsky and X. Ji, Phys. Lett. B 538, 289 (2002).
  29. M. Diehl, A. Manashov, and A. Schafer, Eur. Phys. J. A 31, 335 (2007).
  30. M. V. Polyakov and H.-D. Son, J. High Energy Phys. 09 (2018) 156.
  31. I. V. Anikin, Phys. Rev. D 99, 094026 (2019).
  32. B. Pasquini, M. V. Polyakov, and M. Vanderhaeghen, Phys. Lett. B 739, 133 (2014).
  33. X.-B. Tong, J.-P. Ma, and F. Yuan, arXiv:2101.02395.
  34. S. J. Brodsky and G. R. Farrar, Phys. Rev. Lett. 31, 1153 (1973).
  35. V. A. Matveev, R. M. Muradian, and A. N. Tavkhelidze, Lett. Nuovo Cimento 7, 719 (1973).
  36. X.-d. Ji, J.-P. Ma, and F. Yuan, Phys. Rev. Lett. 90, 241601 (2003).
  37. S. Kumano, Q.-T. Song, and O. V. Teryaev, Phys. Rev. D 97, 014020 (2018).
  38. Y. Hatta and D.-L. Yang, Phys. Rev. D 98, 074003 (2018).
  39. Y. Hatta, A. Rajan, and D.-L. Yang, Phys. Rev. D 100, 014032 (2019).
  40. R. Boussarie and Y. Hatta, Phys. Rev. D 101, 114004 (2020).
  41. W. Xie, A. Watanabe, and M. Huang, J. High Energy Phys. 10 (2019) 053.
  42. H. Fujii and D. Kharzeev, Phys. Rev. D 60, 114039 (1999).
  43. G. A. Miller, Phys. Rev. C 99, 035202 (2019).
  44. L. Frankfurt and M. Strikman, Phys. Rev. D 66, 031502 (2002).
  45. T. Mibe et al. (LEPS Collaboration), Phys. Rev. Lett. 95, 182001 (2005).
  46. J. Barth et al., Eur. Phys. J. A 18, 117 (2003).
  47. S. J. Brodsky, L. Frankfurt, J. F. Gunion, A. H. Mueller, and M. Strikman, Phys. Rev. D 50, 3134 (1994).
  48. A. Donnachie and P. V. Landshoff, Phys. Lett. B 185, 403 (1987).
  49. A. Donnachie and P. V. Landshoff, Nucl. Phys. B311, 509 (1989).
  50. X. Chen, Proc. Sci. DIS2018 (2018) 170 [arXiv:1809.00448].
  51. X. Chen, F.-K. Guo, C. D. Roberts, and R. Wang, Few-Body Syst. 61, 43 (2020).
  52. D. P. Anderle et al., arXiv:2102.09222.
  53. Y. Xu, Y. Xie, R. Wang, and X. Chen, Eur. Phys. J. C 80, 283 (2020).
  54. A. Accardi et al., Eur. Phys. J. A 52, 268 (2016).

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Phys. Rev. D 103, L091501– Published 11 May, 2021
  • Received 10 March 2021
  • Accepted 15 April 2021
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