The generalized parton distribution functions and the nucleon spin sum rules in the chiral quark soliton model

Abstract

The theoretical predictions are given for the forward limit of the unpolarized spin-flip isovector generalized parton distribution function $(E^u-E^d)(x,\xi ,t)$ within the framework of the chiral quark soliton model, with full inclusion of the polarization of Dirac sea quarks. We observe that $[(H^u-H^d)+(E^u-E^d)](x,0,0)$ has a sharp peak around $x=0$, which we interpret as a signal of the importance of the pionic $q\bar{q}$ excitation with large spatial extension in the transverse direction. Another interesting indication given by the predicted distribution in combination with Ji's angular momentum sum rule is that the $\bar{d}$-quark carries more angular momentum than the $\bar{u}$-quark in the proton, which may have some relation with the physics of the violation of the Gottfried sum rule.

23 pages, 2 figures, revised final version to appear in Phys. Rev. D

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Cited by in corpus (30)

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• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Gluon gravitational structure of hadrons of different spin
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• Gauge- and frame-independent decomposition of nucleon spin
• Energy-momentum tensor form factors of the nucleon in nuclear matter
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Virtual meson cloud of the nucleon and generalized parton distributions
• Energy momentum tensor and the D-term in the bag model
• Understanding the proton's spin structure
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• Nucleon's energy-momentum tensor form factors in light-cone QCD
• The Parton Orbital Angular Momentum: Status and Prospects
• Modelling the nucleon structure
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• The role of orbital angular momentum in the proton spin
• Novel two-to-three hard hadronic processes and possible studies of generalized parton distributions at hadron facilities
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• More on the relation between the two physically inequivalent decompositions of the nucleon spin and momentum
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Chiral-odd generalized parton distributions, transversity decomposition of angular momentum, and tensor charges of the nucleon
• Gravitational transition form factors of $N(1535)\to N$
• Gravitational form factors of hyperons in light-cone QCD
• Gravitational form factors of $N(1535)$ in QCD
• Generalized parton distributions of sea quarks in the proton from nonlocal chiral effective theory
• Are there infinitely many decompositions of the nucleon spin ?
• Orbital structure of quarks inside the nucleon in the light-cone diquark model
• Wigner distributions and quark orbital angular momentum
• Gauge-invariant decomposition of nucleon spin