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Generalized parton distributions of $Δ$ resonance in a diquark spectator approach

Published 4 May 2023 in hep-ph | (2305.02680v1)

Abstract: The generalized parton distributions (GPDs) for the spin-3/2 $\Delta+$ resonance are studied numerically by using a diquark spectator approach. Our results show that symmetric constraints from time reversal on GPDs are satisfied. The axial vector form factors of the system are also provided and compared with the lattice QCD calculation. Furthermore, the structure functions are obtained from GPDs in the forward limit. The evolution of structure functions to the scales up to 4 GeV are carried out as predictions for the possible lattice QCD calculations.

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References (34)
  1. Wave functions, evolution equations and evolution kernels from light ray operators of QCD. Fortsch. Phys., 42:101–141, 1994.
  2. M. V. Polyakov. Generalized parton distributions and strong forces inside nucleons and nuclei. Phys. Lett. B, 555:57–62, 2003.
  3. Xiang-Dong Ji. Gauge-Invariant Decomposition of Nucleon Spin. Phys. Rev. Lett., 78:610–613, 1997.
  4. Xiang-Dong Ji. Deeply virtual Compton scattering. Phys. Rev. D, 55:7114–7125, 1997.
  5. A. V. Radyushkin. Nonforward parton distributions. Phys. Rev. D, 56:5524–5557, 1997.
  6. M. Hattawy et al. Exploring the Structure of the Bound Proton with Deeply Virtual Compton Scattering. Phys. Rev. Lett., 123(3):032502, 2019.
  7. V. Burkert et al. Beam charge asymmetries for deeply virtual Compton scattering off the proton. Eur. Phys. J. A, 57(6):186, 2021.
  8. Gunar Schnell. Recent results on generalized parton distributions from the COMPASS, HERMES, and Jefferson Lab’s Hall A and CLAS Collaborations. Nucl. Phys. B Proc. Suppl., 222-224:187–198, 2012.
  9. R. Abdul Khalek et al. Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report. Nucl. Phys. A, 1026:122447, 2022.
  10. Daniele P. Anderle et al. Electron-ion collider in China. Front. Phys. (Beijing), 16(6):64701, 2021.
  11. Generalized parton distributions in spin-3/2 particles. Phys. Rev. D, 106(11):116012, 2022.
  12. R. L. Workman et al. Review of Particle Physics. PTEP, 2022:083C01, 2022.
  13. Delta-baryon electromagnetic form factors in lattice QCD. Phys. Rev. D, 79:014507, 2009.
  14. Electromagnetic and gravitational form factors of ΔΔ\Deltaroman_Δ resonance in a covariant quark-diquark approach. Phys. Rev. D, 105(9):096002, 2022.
  15. Gluon gravitational structure of hadrons of different spin. Phys. Rev. D, 105(5):054509, 2022.
  16. M. Botje. QCDNUM: Fast QCD Evolution and Convolution. Comput. Phys. Commun., 182:490–532, 2011.
  17. Evolution of structure functions in momentum space. 4 2023.
  18. Deep Inelastic Scattering from Arbitrary Spin Targets. Nucl. Phys. B, 321:343, 1989.
  19. S. Nozawa and D. B. Leinweber. Electromagnetic form-factors of spin 3/2 baryons. Phys. Rev. D, 42:3567–3571, 1990.
  20. Axial and pseudoscalar form-factors of the Δ+superscriptΔ\Delta^{+}roman_Δ start_POSTSUPERSCRIPT + end_POSTSUPERSCRIPT(1232). PoS, LATTICE2010:141, 2010.
  21. Determination of the Δ⁢(1232)Δ1232\Delta(1232)roman_Δ ( 1232 ) axial and pseudoscalar form factors from lattice QCD. Phys. Rev. D, 87(11):114513, 2013.
  22. Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking. Phys. Rev. D, 102(5):054011, 2020.
  23. M. Diehl. Generalized parton distributions. Phys. Rept., 388:41–277, 2003.
  24. Gravitational form factors of a baryon with spin-3/2. Eur. Phys. J. C, 81(1):85, 2021.
  25. Unraveling hadron structure with generalized parton distributions. Phys. Rept., 418:1–387, 2005.
  26. X(3872) as a hadronic molecule and its decays to charmonium states and pions. Phys. Rev. D, 79:094013, 2009.
  27. Michael D. Scadron. Covariant Propagators and Vertex Functions for Any Spin. Phys. Rev., 165:1640–1647, 1968.
  28. W. Pauli and F. Villars. On the Invariant regularization in relativistic quantum theory. Rev. Mod. Phys., 21:434–444, 1949.
  29. ρ𝜌\rhoitalic_ρ meson unpolarized generalized parton distributions with a light-front constituent quark model. Phys. Rev. D, 96(3):036019, 2017.
  30. On the evolution kernels of twist-2 light ray operators for unpolarized and polarized deep inelastic scattering. Phys. Lett. B, 406:161–170, 1997.
  31. Off diagonal parton distributions and their evolution. Phys. Rev. D, 59:014029, 1999.
  32. N. Kivel and L. Mankiewicz. Conformal string operators and evolution of skewed parton distributions. Nucl. Phys. B, 557:271–295, 1999.
  33. Polarized generalized parton distributions and structure functions of the ρ𝜌\rhoitalic_ρ meson. Phys. Rev. D, 99(1):016023, 2019.
  34. Covariant multipole expansion of local currents for massive states of any spin. Phys. Rev. D, 101(5):056016, 2020.
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