Few-Body Systems

, 59:23 | Cite as

Three Dimensional Imaging of the Nucleon

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  1. Light Cone 2017

Abstract

We study the Wigner distributions of quarks and gluons in light-front dressed quark model using the overlap of light front wave functions (LFWFs). We take the target to be a dressed quark, this is a composite spin \(-1/2\) state of quark dressed with a gluon. This state allows us to calculate the quark and gluon Wigner distributions analytically in terms of LFWFs using Hamiltonian perturbation theory. We analyze numerically the Wigner distributions of quark and gluon and report their nature in the contour plots. We use an improved numerical technique to remove the cutoff dependence of the Fourier transformed integral over \({\varvec{\varDelta }}_\perp \).

Notes

Acknowledgements

We would like to thank Light Cone organizers for the invitation. AM and JM would like to thank the Department of Physics, IIT Bombay for providing financial support.

References

  1. 1.
    S. Meissner, A. Metz, M. Schlegel, JHEP 0908, 056 (2009)ADSCrossRefGoogle Scholar
  2. 2.
    E.P. Wigner, Phys. Rev. 40, 749 (1932)ADSCrossRefGoogle Scholar
  3. 3.
    S. Bhattacharya, A. Metz, J. Zhou, Phys. Lett. B 771, 396 (2017)ADSCrossRefGoogle Scholar
  4. 4.
    Y. Hatta, Y. Nakagawa, F. Yuan, Y. Zhao, Phys. Rev. D 95, 114032 (2017)ADSCrossRefGoogle Scholar
  5. 5.
    Y. Hatta, B.W. Xiao, F. Yuan, Phys. Rev. Lett. 116(20), 202301 (2016)ADSCrossRefGoogle Scholar
  6. 6.
    J. Zhou, Phys. Rev. D 94, 114017 (2016)ADSCrossRefGoogle Scholar
  7. 7.
    Y. Hagiwara, Y. Hatta, T. Ueda, Phys. Rev. D 94, 094036 (2016)ADSCrossRefGoogle Scholar
  8. 8.
    J. More, A. Mukherjee, S. Nair, Phys. Rev. D 95, 074039 (2017)ADSCrossRefGoogle Scholar
  9. 9.
    J. More, A. Mukherjee, S. Nair. arXiv:1709.00943 [hep-ph]
  10. 10.
    C. Lorce, B. Pasquini, Phys. Rev. D 84, 014015 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    C. Lorce, B. Pasquini, JHEP 1309, 138 (2013)ADSCrossRefGoogle Scholar
  12. 12.
    A. Harindranath, R. Kundu, W.M. Zhang, Phys. Rev. D 59, 094012 (1999)ADSCrossRefGoogle Scholar
  13. 13.
    A. Harindranath, R. Kundu, W.M. Zhang, Phys. Rev. D 59, 094013 (1999)ADSCrossRefGoogle Scholar
  14. 14.
    D. Levin, Math. Comp. 38, 531 (1982)MathSciNetCrossRefGoogle Scholar
  15. 15.
    A. Mukherjee, S. Nair, V.K. Ojha, Phys. Rev. D 90, 014024 (2014)ADSCrossRefGoogle Scholar
  16. 16.
    A. Mukherjee, S. Nair, V.K. Ojha, Phys. Rev. D 91, 054018 (2015)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Indian Institute of Technology, BombayMumbaiIndia
  2. 2.Indian Institute of Science Education and Research, BhopalBhopalIndia

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