Large-Nc quark distributions in the delta and chiral logarithms in quark distributions of the nucleon

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Abstract

In a world with two quark flavors and a large number of colors (Nc), the polarized and unpolarized quark distributions in the delta are completely determined by those in the nucleon up to relative ο(1/Nc2). In particular, we find qΔ(χ) = [(1 ± 2Tz)uN(χ) + (1 ο 2Tz)dN(χ)]/2(1 + ο(1/Nc2)) and ΔqΔ(χ) = (5 ο 2Tz)ΔdN(χ)]/10(1 + ο(1/Nc2)), where q = u, d and Tzthe charge state of a delta. The result can be used to estimate the leading chiral-logarithmic corrections to the quark distributions in the nucleon. © 2001 Elsevier Science B.V. All rights reserved.

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Chen, J. W., & Ji, X. (2001). Large-Nc quark distributions in the delta and chiral logarithms in quark distributions of the nucleon. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 523(1–2), 73–78. https://doi.org/10.1016/S0370-2693(01)01340-5

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