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Three Dimensional Imaging of the Nucleon

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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 \({\varvec{\varDelta }}_\perp \).

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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.

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Authors and Affiliations

  1. Indian Institute of Technology, Bombay, Mumbai, 400076, India

    Jai More & Asmita Mukherjee

  2. Indian Institute of Science Education and Research, Bhopal, Bhopal, MP, 462030, India

    Sreeraj Nair

Authors
  1. Jai More
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  2. Asmita Mukherjee
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  3. Sreeraj Nair
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Correspondence to Jai More.

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More, J., Mukherjee, A. & Nair, S. Three Dimensional Imaging of the Nucleon. Few-Body Syst 59, 23 (2018). https://doi.org/10.1007/s00601-018-1348-0

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  • DOI: https://doi.org/10.1007/s00601-018-1348-0

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