Physics Letters B (Sep 2020)

Nucleon quasi-parton distributions in the large Nc limit

  • Hyeon-Dong Son,
  • Asli Tandogan,
  • Maxim V. Polyakov

Journal volume & issue
Vol. 808
p. 135665

Abstract

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In this letter, we investigate the nucleon quasi-parton distribution functions in the chiral quark soliton model. We derive a set of sum-rules depending on the velocity of the nucleon and on the Dirac matrix defining the distribution functions. We present numerical results for the isosinglet unpolarized distribution, in which we find that the anti-quark distribution breaks the positivity condition at nucleon velocities of v≈0.99(PN≈7.0MN) and smaller. We found that, for the isosinglet unpolarized case, a large nucleon momentum is required for the quasi-parton distribution to get close enough to the usual parton distribution function.