Nucleon quasi-Parton Distributions in the large N${}_c$ limit

Abstract

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 $v\approx 0.99(P_N\approx 7.0M_N)$ 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.

arXiv comment11 pages, 3 figures, references added; version to appear in Physics Letters B

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Cited by in corpus (12)

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• Unpolarized and helicity generalized parton distributions of the proton within lattice QCD
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Flavor decomposition for the proton helicity parton distribution functions
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Generalized parton distributions from the pseudo-distribution approach on the lattice
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• Isovector helicity quark quasi-distributions inside a large Nc nucleon
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon