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Nucleon quasi-Parton Distributions in the large N_c limit

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arxiv 1911.01955 v5 pith:WG5BC44H submitted 2019-11-05 hep-ph hep-lat

Nucleon quasi-Parton Distributions in the large N_c limit

classification hep-ph hep-lat
keywords distributionnucleonquasi-partonapproxfunctionsisosingletlargeunpolarized
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $v\approx 0.99\;(P_N\approx 7.0 M_N)$ 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.

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