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  • Letter
  • Open Access

Toward the existence of the odderon as a three-gluon bound state

Hua-Xing Chen1,*, Wei Chen2,†, and Shi-Lin Zhu3,4,5,‡

  • 1School of Physics, Southeast University, Nanjing 210094, China
  • 2School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
  • 3School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 4Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
  • 5Center of High Energy Physics, Peking University, Beijing 100871, China

  • *hxchen@seu.edu.cn
  • †chenwei29@mail.sysu.edu.cn
  • ‡zhusl@pku.edu.cn
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Phys. Rev. D 103, L091503 – Published 20 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L091503

Abstract

Inspired by the evidence of the odderon exchange recently observed by the D0 and TOTEM Collaborations, a quantum chromodynamics (QCD) sum rule investigation is performed to study the odderon as a three-gluon bound state. There may exist six lowest-lying three-gluon odderons with the quantum numbers JPC=1/2/3±−. We systematically construct their interpolating currents, and calculate their mass spectra. To verify their existence, we propose to search for the spin-3 odderons in their VVV and VVP decay channels directly at LHC, with V and P light vector and pseudoscalar mesons respectively.

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References (41)

  1. V. M. Abazov et al. (D0 Collaboration), Measurement of the differential cross section dσ/dt in elastic pp¯ scattering at s=1.96  TeV, Phys. Rev. D 86, 012009 (2012).
  2. V. M. Abazov et al. (D0 and TOTEM Collaborations), Comparison of pp and pp¯ differential elastic cross sections and observation of the exchange of a colorless C-odd gluonic compound, arXiv:2012.03981.
  3. J. R. Cudell, V. V. Ezhela, P. Gauron, K. Kang, Yu. V. Kuyanov, S. B. Lugovsky, E. Martynov, B. Nicolescu, E. A. Razuvaev, and N. P. Tkachenko (COMPETE Collaboration), Benchmarks for the Forward Observables at RHIC, the Tevatron-Run II and the LHC, Phys. Rev. Lett. 89, 201801 (2002).
  4. E. Martynov and B. Nicolescu, Odderon effects in the differential cross-sections at Tevatron and LHC energies, Eur. Phys. J. C 79, 461 (2019).
  5. G. Antchev et al. (TOTEM Collaboration), First determination of the ρ parameter at s=13  TeV: Probing the existence of a colorless C-odd three-gluon compound state, Eur. Phys. J. C 79, 785 (2019).
  6. V. A. Khoze, A. D. Martin, and M. G. Ryskin, Black disk, maximal Odderon and unitarity, Phys. Lett. B 780, 352 (2018).
  7. T. Csörgő, R. Pasechnik, and A. Ster, Odderon and proton substructure from a model-independent Lévy imaging of elastic pp and pp¯ collisions, Eur. Phys. J. C 79, 62 (2019).
  8. V. P. Gonçalves and P. V. R. G. Silva, The Phillips-Barger model for the elastic cross section and the odderon, Eur. Phys. J. C 79, 237 (2019).
  9. W. Xie, A. Watanabe, and M. Huang, Elastic proton-proton scattering at LHC energies in holographic QCD, J. High Energy Phys. 10 (2019) 053.
  10. L. Lukaszuk and B. Nicolescu, A possible interpretation of pp rising total cross-sections, Lett. Nuovo Cimento 8, 405 (1973).
  11. J. Bartels, High-energy behavior in a non-Abelian gauge theory (II). First corrections to Tn→m beyond the leading lns approximation, Nucl. Phys. B175, 365 (1980).
  12. J. Kwiecinski and M. Praszalowicz, Three gluon integral equation and odd C singlet Regge singularities in QCD, Phys. Lett. 94B, 413 (1980).
  13. A. Donnachie and P. V. Landshoff, Multi-gluon exchange in pp elastic scattering, Phys. Lett. 123B, 345 (1983).
  14. M. M. Block, Hadronic forward scattering: Predictions for the Large Hadron Collider and cosmic rays, Phys. Rep. 436, 71 (2006).
  15. A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, and V. F. Weisskopf, New extended model of hadrons, Phys. Rev. D 9, 3471 (1974).
  16. R. L. Jaffe and K. Johnson, Unconventional states of confined quarks and gluons, Phys. Lett. 60B, 201 (1976).
  17. N. Isgur and J. E. Paton, Flux-tube model for hadrons in QCD, Phys. Rev. D 31, 2910 (1985).
  18. A. Szczepaniak, E. S. Swanson, C. R. Ji, and S. R. Cotanch, Glueball Spectroscopy in a Relativistic Many-Body Approach to Hadron Structure, Phys. Rev. Lett. 76, 2011 (1996).
  19. F. J. Llanes-Estrada, P. Bicudo, and S. R. Cotanch, J−− Glueballs and a Low Odderon Intercept, Phys. Rev. Lett. 96, 081601 (2006).
  20. K. G. Wilson, Confinement of quarks, Phys. Rev. D 10, 2445 (1974).
  21. Y. Chen et al., Glueball spectrum and matrix elements on anisotropic lattices, Phys. Rev. D 73, 014516 (2006).
  22. V. Mathieu, N. Kochelev, and V. Vento, The physics of glueballs, Int. J. Mod. Phys. E 18, 1 (2009).
  23. H. B. Meyer, Glueball regge trajectories, hep-lat/0508002.
  24. E. Gregory, A. Irving, B. Lucini, C. McNeile, A. Rago, C. Richards, and E. Rinaldi, Towards the glueball spectrum from unquenched lattice QCD, J. High Energy Phys. 10 (2012) 170.
  25. V. A. Novikov, M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, In search of scalar gluonium, Nucl. Phys. B165, 67 (1980).
  26. S. Narison, Spectral function sum rules for gluonic currents, Z. Phys. C 26, 209 (1984).
  27. S. Narison, Masses, decays and mixings of gluonia in QCD, Nucl. Phys. B509, 312 (1998).
  28. E. Bagan and T. G. Steele, Mass of the scalar glueball. Higher-loop effects in the QCD sum rules, Phys. Lett. B 243, 413 (1990).
  29. J. I. Latorre, S. Narison, and S. Paban, 0++ trigluonium sum rules, Phys. Lett. B 191, 437 (1987).
  30. G. Hao, C. F. Qiao, and A. L. Zhang, 0−+ trigluon glueball and its implication for a recent BES observation, Phys. Lett. B 642, 53 (2006).
  31. C. F. Qiao and L. Tang, Finding the 0−− Glueball, Phys. Rev. Lett. 113, 221601 (2014).
  32. L. Tang and C. F. Qiao, Mass spectra of 0+−, 1−+, and 2+− exotic glueballs, Nucl. Phys. B904, 282 (2016).
  33. A. Pimikov, H. J. Lee, N. Kochelev, and P. Zhang, Is the exotic 0−− glueball a pure gluon state? Phys. Rev. D 95, 071501(R) (2017).
  34. I. Szanyi, L. Jenkovszky, R. Schicker, and V. Svintozelskyi, Pomeron/glueball and odderon/oddball trajectories, Nucl. Phys. A998, 121728 (2020).
  35. R. L. Jaffe, K. Johnson, and Z. Ryzak, Qualitative features of the glueball spectrum, Ann. Phys. (N.Y.) 168, 344 (1986).
  36. M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, QCD and resonance physics. theoretical foundations, Nucl. Phys. B147, 385 (1979).
  37. L. J. Reinders, H. Rubinstein, and S. Yazaki, Hadron properties from QCD sum rules, Phys. Rep. 127, 1 (1985).
  38. P. A. Zyla et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
  39. B. L. Ioffe, QCD (Quantum chromodynamics) at low energies, Prog. Part. Nucl. Phys. 56, 232 (2006).
  40. S. Narison, QCD parameter correlations from heavy quarkonia, Int. J. Mod. Phys. A 33, 1850045 (2018); Addendum, 33, 1892004 (2018).
  41. S. Narison, Gluon condensates and precise m¯c,b from QCD-moments and their ratios to order αs3 and ⟨G4⟩, Phys. Lett. B 706, 412 (2012).

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Phys. Rev. D 103, L091503– Published 20 May, 2021
  • Received 5 April 2021
  • Accepted 22 April 2021
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