Large-N_c Quark Distributions in the Delta and Chiral Logarithms in Quark Distributions of the Nucleon

Abstract

In a world with two quark flavors and a large number of colors (N_c), the polarized and unpolarized quark distributions in the delta are completely determined by those in the nucleon up to {\cal O}(1/N_c). In particular, we find q_Δ(x) =[(1\pm 2T_z)u_N(x)+ (1\mp 2T_z)d_N(x)]/2 and Δq_Δ(x) =[(5\pm 2T_z)Δu_N(x) + (5\mp 2T_z)Δd_N(x)]/10, where q = u, d and $T_z$ the charge state of a delta. The result can be used to estimate the leading chiral-logarithmic corrections to the quark distributions in the nucleon.

8 pages, revtex4, 1 figure included

Cited by in corpus (18)

• SU(N) gauge theories at large N
• Nucleon isovector structure functions in (2+1)-flavor QCD with domain wall fermions
• Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
• Twist-two matrix elements at finite and infinite volume
• Moments of Isovector Quark Distributions from Lattice QCD
• $⟨x⟩$ and $⟨x^2⟩$ of the pion PDF from Lattice QCD with $N_f=2+1+1$ dynamical quark flavours
• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• The Mellin moments $⟨x⟩$ and $⟨x^2⟩$ for the pion and kaon from lattice QCD
• Universality of the EMC Effect
• Equivalence of pion loops in equal-time and light-front dynamics
• The Chiral Extrapolation of Strange Matrix Elements in the Nucleon
• Soft Pion Emission in DVCS
• DVCS-Dissociation of the Deuteron and the EMC Effect
• The first PDF moments for three dynamical flavors in Baryon Chiral Perturbation Theory
• Flavor symmetry breaking in the $\Delta$ sea
• Covariant propagator and chiral power counting