Spin and Orbital Angular Momentum Distribution Functions of the Nucleon

Abstract

A theoretical prediction is given for the spin and orbital angular momentum distribution functions of the nucleon within the framework of an effective quark model of QCD, i.e. the chiral quark soliton model. An outstanding feature of the model is that it predicts fairly small quark spin fraction of the nucleon $\Delta \Sigma \simeq 0.35$, which in turn dictates that the remaining 65% of the nucleon spin is carried by the orbital angular momentum of quarks and antiquarks at the model energy scale of $Q^2\simeq 0.3{GeV}^2$. This large orbital angular momentum necessarily affects the scenario of scale dependence of the nucleon spin contents in a drastic way.

16 pages, latex, 3 eps figures, the revised version to appear in Physical Review D

References in corpus (24)

• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Precision Determination of the Neutron Spin Structure Function g1n
• Baryons as non-topological chiral solitons
• Measurement of the Light Antiquark Flavor Asymmetry in the Nucleon Sea
• Next-to-Leading Order Radiative Parton Model Analysis of Polarized Deep Inelastic Scattering
• Polarized Parton Distributions in the Nucleon
• Baryons as Chiral Solitons in the Nambu--Jona-Lasinio Model
• Measurement of the Deuteron Spin Structure Function g_1^d(x) for 1 (GeV/c)^2 < Q^2 < 40 (GeV/c)^2
• The Flavor Asymmetry of the Light Quark Sea from Semi-inclusive Deep-inelastic Scattering
• Unpolarized and polarized quark distributions in the large-Nc limit
• Hadronic matrix elements of gluon operators in the instanton vacuum
• A Next-to-Leading Determination of the Singlet Axial Charge and the Polarized Gluon Content of the Nucleon
• The Spin Structure of the Nucleon in the Asymptotic Limit
• FLAVOR-SINGLET g_A FROM LATTICE QCD
• Proton Spin Structure from Lattice QCD
• Quark and Gluon Orbital Angular Momentum and Spin in Hard Processes
• Chiral Symmetry and the Nucleon Spin Structure Functions
• On Orbital Angular Momentum in Deep Inelastic Scattering
• $1/N_c$ Rotational Corrections to $g_A$ and Isovector Magnetic Moment of the Nucleon
• Evolution Equations for Higher Moments of Angular Momentum Distributions
• Implications of Color Gauge Symmetry For Nucleon Spin Structure
• Do we expect light flavor sea-quark asymmetry also for the spin-dependent distribution functions of the nucleon?
• A Quark Model Analysis of Orbital Angular Momentum
• Numerical Solution of the Evolution Equation for Orbital Angular Momentum of Partons in the Nucleon

Cited by in corpus (19)

• Transversity distributions in the nucleon in the large-N_c limit
• Is gauge-invariant complete decomposition of the nucleon spin possible ?
• The generalized parton distribution function (E^u+E^d)(x,xi,t) of the nucleon in the chiral quark soliton model
• Light-flavor sea-quark distributions in the nucleon in the SU(3) chiral quark soliton model (I) -- phenomenological predictions --
• Polarized DIS in N=4 SYM: Where is spin at strong coupling?
• Comparative analysis of the transversities and the longitudinally polarized distribution functions of the nucleon
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• The role of orbital angular momentum in the proton spin
• Pi N sigma-term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model
• Parton distribution functions and quark orbital motion
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• On the NuTeV anomaly and the asymmetry of the strange sea in the nucleon
• Chiral-odd distribution functions in the chiral quark soliton model
• Quark scalar, axial, and pseudoscalar charges in the Schwinger-Dyson formalism
• Flavor structure of the unpolarized and longitudinally-polarized sea-quark distributions in the nucleon
• Quark spin content of the proton, hyperon semileptonic decays, and the decay width of the ${\Theta }^{+}$ pentaquark
• Moments of generalized parton distribution functions and the nucleon spin contents
• Quark spin content of SU(3) light and singly heavy baryons
• Orbital Angular Momentum Parton Distributions in Light-Front Dynamics