Skip to main content
Log in

Spin Structure of the Nucleon on the Light Front

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

We briefly review the spin structure of the nucleon and show that it is best thought in the light-front formulation. We discuss in particular the longitudinal and transverse spin sum rules, the proper definition of canonical orbital angular momentum and the spin–orbit correlation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Leader E., Lorcé C.: The angular momentum controversy: What’s it all about and does it matter?. Phys. Rept. 541, 163 (2014) arXiv:1309.4235 [hep-ph]

    Article  ADS  Google Scholar 

  2. Wakamatsu M.: Is gauge-invariant complete decomposition of the nucleon spin possible?. Int. J. Mod. Phys. A 29, 1430012 (2014) arXiv:1402.4193 [hep-ph]

    Article  ADS  Google Scholar 

  3. Ji X.-D.: Gauge-Invariant decomposition of nucleon spin. Phys. Rev. Lett. 78, 610 (1997) [hep-ph/9603249]

    Article  ADS  Google Scholar 

  4. Wakamatsu M.: On gauge-invariant decomposition of nucleon spin. Phys. Rev. D 81, 114010 (2010) arXiv:1004.0268 [hep-ph]

    Article  ADS  Google Scholar 

  5. Wakamatsu M.: Gauge and frame-independent decomposition of nucleon spin. Phys. Rev. D 83, 014012 (2011) arXiv:1007.5355 [hep-ph]

    Article  ADS  Google Scholar 

  6. Chen X.-S., Lu X.-F., Sun W.-M., Wang F., Goldman T.: Spin and orbital angular momentum in gauge theories: Nucleon spin structure and multipole radiation revisited. Phys. Rev. Lett. 100, 232002 (2008) arXiv:0806.3166 [hep-ph]

    Article  ADS  Google Scholar 

  7. Chen X.-S., Sun W.-M., Lu X.-F., Wang F., Goldman T.: Do gluons carry half of the nucleon momentum?. Phys. Rev. Lett. 103, 062001 (2009) arXiv:0904.0321 [hep-ph]

    Article  ADS  Google Scholar 

  8. Jaffe,R.L., Manohar, A.: The G(1) problem: fact and fantasy on the spin of the proton. Nucl. Phys.B 337, 509 (1990)

  9. Burkardt M.: Parton orbital angular momentum and final state interactions. Phys. Rev. D 88(1), 014014 (2013) arXiv:1205.2916 [hep-ph]

    Article  ADS  Google Scholar 

  10. Lorcé C.: Geometrical approach to the proton spin decomposition. Phys. Rev. D 87, 034031 (2013) arXiv:1205.6483 [hep-ph]

    Article  ADS  Google Scholar 

  11. Lorcé C.: Wilson lines and orbital angular momentum. Phys. Lett. B 719, 185 (2013) arXiv:1210.2581 [hep-ph]

    Article  ADS  Google Scholar 

  12. Lorcé C.: Gauge-covariant canonical formalism revisited with application to the proton spin decomposition. Phys. Rev. D 88, 044037 (2013) arXiv:1302.5515 [hep-ph]

    Article  ADS  Google Scholar 

  13. Lorcé C.: Gauge symmetry and background independence: Should the proton spin decomposition be path independent?. Nucl. Phys. A 925, 1 (2014) arXiv:1306.0456 [hep-ph]

    Article  ADS  Google Scholar 

  14. Stoilov, M.N.: Hamiltonian analysis of the proposal by Chen et. al., PRL 100 (2008) 232002. arXiv:1011.5617 [hep-th]

  15. Wakamatsu, M.: The problem of the gauge-invariant complete decomposition of the nucleon spin demystified. arXiv:1409.4474 [hep-ph]

  16. Leader E., Lorcé C.: Comment on ’Proton Spin Structure from Measurable Parton Distributions’ by Ji, Xiong and Yuan (PRL109, 152005 (2012)). Phys. Rev. Lett. 111, 039101 (2013) arXiv:1211.4731 [hep-ph]

    Article  ADS  Google Scholar 

  17. Leader E.: A critical assessment of the angular momentum sum rules. Phys. Lett. B 720, 120 (2013) arXiv:1211.3957 [hep-ph]

    Article  MathSciNet  ADS  Google Scholar 

  18. Hatta Y., Tanaka K., Yoshida S.: Twist-three relations of gluonic correlators for the transversely polarized nucleon. JHEP 1302, 003 (2013) arXiv:1211.2918 [hep-ph]

    Article  ADS  Google Scholar 

  19. Harindranath A., Kundu R., Mukherjee A.: On transverse spin sum rules. Phys. Lett. B 728, 63 (2014) arXiv:1308.1519 [hep-ph]

    Article  ADS  Google Scholar 

  20. Penttinen M., Polyakov M.V., Shuvaev A.G., Strikman M.: DVCS amplitude in the parton model. Phys. Lett. B 491, 96 (2000) [hep-ph/0006321]

    Article  ADS  Google Scholar 

  21. Kiptily D.V., Polyakov M.V.: Genuine twist three contributions to the generalized parton distributions from instantons. Eur. Phys. J. C 37, 105 (2004) [hep-ph/0212372]

    Article  ADS  Google Scholar 

  22. Hatta Y., Yoshida S.: Twist analysis of the nucleon spin in QCD. JHEP 1210, 080 (2012) arXiv:1207.5332 [hep-ph]

    Article  ADS  Google Scholar 

  23. Lorcé C., Pasquini B.: Quark wigner distributions and orbital angular momentum. Phys. Rev. D 84, 014015 (2011) arXiv:1106.0139 [hep-ph]

    Article  ADS  Google Scholar 

  24. Lorcé C., Pasquini B., Xiong X., Yuan F.: The quark orbital angular momentum from Wigner distributions and light-cone wave functions. Phys. Rev. D 85, 114006 (2012) arXiv:1111.4827 [hep-ph]

    Article  ADS  Google Scholar 

  25. Soper, D.E.: The parton model and the Bethe-Salpeter wave function. Phys. Rev. D 15, 1141 (1977)

  26. Burkardt, M.: Impact parameter dependent parton distributions and off forward parton distributions for \({\zeta \dashrightarrow 0}\). Phys. Rev. D 62, 071503 (2000) [Erratum-ibid. D 66, 119903 (2002)] [hep-ph/0005108]

  27. Burkardt M.: Transverse deformation of parton distributions and transversity decomposition of angular momentum. Phys. Rev. D 72, 094020 (2005) [hep-ph/0505189]

    Article  ADS  Google Scholar 

  28. Meissner S., Metz A., Schlegel M.: Generalized parton correlation functions for a spin-1/2 hadron. JHEP 0908, 056 (2009) arXiv:0906.5323 [hep-ph]

    Article  ADS  Google Scholar 

  29. Lorcé C., Pasquini B., Vanderhaeghen M.: Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon. JHEP 1105, 041 (2011) arXiv:1102.4704 [hep-ph]

    Article  ADS  Google Scholar 

  30. Lorcé C., Pasquini B.: Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target. JHEP 1309, 138 (2013) arXiv:1307.4497

    Article  ADS  Google Scholar 

  31. Hatta Y.: Notes on the orbital angular momentum of quarks in the nucleon. Phys. Lett. B 708, 186 (2012) arXiv:1111.3547 [hep-ph]

    Article  ADS  Google Scholar 

  32. Kanazawa K., Lorcé C., Metz A., Pasquini B., Schlegel M.: Twist-2 Generalized TMDs and the spin/orbital structure of the nucleon. Phys. Rev. D 90, 014028 (2014) arXiv:1403.5226 [hep-ph]

    Article  ADS  Google Scholar 

  33. Ji X., Xiong X., Yuan F.: Proton spin structure from measurable parton distributions. Phys. Rev. Lett. 109, 152005 (2012) arXiv:1202.2843 [hep-ph]

    Article  ADS  Google Scholar 

  34. Ji X.: Parton physics on a euclidean lattice. Phys. Rev. Lett. 110, 262002 (2013) arXiv:1305.1539 [hep-ph]

    Article  ADS  Google Scholar 

  35. Lorcé C., Pasquini B.: Pretzelosity TMD and quark orbital angular momentum. Phys. Lett. B 710, 486 (2012) arXiv:1111.6069 [hep-ph]

    Article  ADS  Google Scholar 

  36. Lorcé C., Pasquini B.: On the origin of model relations among transverse-momentum dependent parton distributions. Phys. Rev. D 84, 034039 (2011) arXiv:1104.5651 [hep-ph]

    Article  ADS  Google Scholar 

  37. Lorcé C.: Spin-orbit correlations in the nucleon. Phys. Lett. B 735, 344 (2014) arXiv:1401.7784 [hep-ph]

    Article  ADS  Google Scholar 

  38. Leader E., Sidorov A.V., Stamenov D.B.: Determination of polarized PDFs from a QCD analysis of inclusive and semi-inclusive deep inelastic scattering data. Phys. Rev. D 82, 114018 (2010) arXiv:1010.0574 [hep-ph]

    Article  ADS  Google Scholar 

  39. Bratt, J.D., et al.: Nucleon structure from mixed action calculations using 2+1 flavors of asqtad sea and domain wall valence fermions [LHPC Collaboration]. Phys. Rev. D 82, 094502 arXiv:1001.3620 [hep-lat](2010)

  40. Boffi S., Pasquini B., Traini M.: Linking generalized parton distributions to constituent quark models. Nucl. Phys. B 649, 243 (2003) arXiv:hep-ph/0207340

    Article  ADS  MATH  Google Scholar 

  41. Boffi S., Pasquini B., Traini M.: Helicity-dependent generalized parton distributions in constituent quark models. Nucl. Phys. B 680, 147 (2004) arXiv:hep-ph/0311016

    Article  ADS  Google Scholar 

  42. Pasquini B., Pincetti M., Boffi S.: Chiral-odd generalized parton distributions in constituent quark models. Phys. Rev. D 72, 094029 (2005) arXiv:hep-ph/0510376

    Article  ADS  Google Scholar 

  43. Pasquini B., Pincetti M., Boffi S.: Drell-Yan processes, transversity and light-cone wavefunctions. Phys. Rev. D 76, 034020 (2007) arXiv:hep-ph/0612094

    Article  ADS  Google Scholar 

  44. Pasquini B., Cazzaniga S., Boffi S.: Transverse momentum dependent parton distributions in a light-cone quark model. Phys. Rev. D 78, 034025 (2008) arXiv:0806.2298 [hep-ph]

    Article  ADS  Google Scholar 

  45. Lorcé C.: Improvement of the Theta+ width estimation method on the light cone. Phys. Rev. D 74, 054019 (2006) arXiv:hep-ph/0603231

    Article  ADS  Google Scholar 

  46. Lorcé C.: Baryon vector and axial content up to the 7Q component. Phys. Rev. D 78, 034001 (2008) arXiv:0708.3139 [hep-ph]

    Article  ADS  Google Scholar 

  47. Lorcé C.: Tensor charges of light baryons in the Infinite Momentum Frame. Phys. Rev. D 79, 074027 (2009) arXiv:0708.4168 [hep-ph]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cédric Lorcé.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lorcé, C. Spin Structure of the Nucleon on the Light Front. Few-Body Syst 56, 243–248 (2015). https://doi.org/10.1007/s00601-015-0957-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-015-0957-0

Keywords

Navigation