Skip to main content
Log in

On Gravitational Form Factors and Transverse Spin Sum Rule

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

Abstract

Using the light front wave functions of the scalar quark–diquark model for nucleon predicted by the soft-wall AdS/QCD, we calculate the flavor dependent gravitational form factors. We evaluate the matrix element of Pauli–Lubanski operator in this model and show that the intrinsic spin sum rule involves the higher twist form factor \({\bar{C}}\). The longitudinal momentum densities in the transverse impact parameter space are also discussed for both unpolarized and transversely polarized nucleons.

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.

Similar content being viewed by others

References

  1. Ji X., Xiong X., Yuan F.: Transverse polarization of the nucleon in parton picture. Phys. Lett. B 717, 214 (2012)

    Article  ADS  Google Scholar 

  2. Ji X., Xiong X., Yuan F.: Proton spin structure from measurable parton distributions. Phys. Rev. Lett. 109, 15200 (2012)

    Article  Google Scholar 

  3. Ji X., Xiong X., Yuan F.: Reply to arXiv:1211.3957 and arXiv:1211.4731 by Leader et al. and arXiv:1212.0761 by Harindranath et al. Phys. Rev. Lett. 111, 039103 (2013)

    Article  ADS  Google Scholar 

  4. Leader, E., Lorce, C.: Comment on ’proton spin structure from measurable parton distributions’ by Ji, Xiong and Yuan (PRL109, 152005 (2012)). Phys. Rev. Lett. 111, 039101 (2013)

  5. Harindranath, A., Kundu, R., Mukherjee, A., Ratabole, R.: Comment on Phys. Rev. Lett. 109, 152005 (2012). Phys. Rev. Lett. 111, 039102 (2013)

  6. Harindranath A., Kundu R., Mukherjee A.: On transverse spin sum rules. Phys. Lett. B 728, 63 (2014)

    Article  ADS  Google Scholar 

  7. Gutsche T., Lyubovitskij V.E., Schmidt I., Vega A.: Light-front quark model consistent with Drell-Yan-West duality and quark counting rules. Phys. Rev. D 89, 054033 (2014)

    Article  ADS  Google Scholar 

  8. Selyugin O.V., Teryaev O.V.: Generalized parton distributions and description of Electromagnetic and graviton form factors of nucleon. Phys. Rev. D 79, 033003 (2009)

    Article  ADS  Google Scholar 

  9. Abidin Z., Carlson C.E.: Hadronic Momentum densities in the transverse plane. Phys. Rev. D 78, 071502 (2008)

    Article  ADS  Google Scholar 

  10. Brodsky, S.J., de Teramond, G.F.: Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence. arXiv:1203.4125 [hep-ph]

  11. Chakrabarti D., Mondal C.: Generalized parton distributions for the proton in AdS/QCD. Phys. Rev. D 88, 073006 (2013)

    Article  ADS  Google Scholar 

  12. Chakrabarti D., Mondal C.: Nucleon and flavor form factors in a light front quark model in AdS/QCD. Eur. Phys. J. C 73, 2671 (2013)

    Article  ADS  Google Scholar 

  13. Chakrabarti D., Mondal C., Mukherjee A.: Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD. Phys. Rev. D 91, 114026 (2015)

    Article  ADS  Google Scholar 

  14. Chakrabarti D., Mondal C.: Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model. Phys. Rev. D 92, 074012 (2015)

    Article  ADS  Google Scholar 

  15. Ji X.D.: Gauge-invariant decomposition of nucleon Spin. Phys. Rev. Lett. 78, 610 (1997)

    Article  ADS  Google Scholar 

  16. Ji X.D.: Lorentz symmetry and the internal structure of the nucleon. Phys. Rev. D 58, 056003 (1998)

    Article  ADS  Google Scholar 

  17. Hatta Y., Tanaka K., Yoshida S.: Twist-three relations of gluonic correlators for the transversely polarized nucleon. JHEP 1302, 003 (2013)

    Article  ADS  Google Scholar 

  18. Leader E.: A critical assessment of the angular momentum sum rules. Phys. Lett. B 720, 120 (2013)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. Chakrabarti.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chakrabarti, D., Mondal, C. & Mukherjee, A. On Gravitational Form Factors and Transverse Spin Sum Rule. Few-Body Syst 57, 437–442 (2016). https://doi.org/10.1007/s00601-016-1074-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-016-1074-4

Keywords

Navigation