Generalized form factors, generalized parton distributions and the spin contents of the nucleon

Abstract

With a special intention of clarifying the underlying spin contents of the nucleon, we investigate the generalized form factors of the nucleon, which are defined as the $n$-th $x$-moments of the generalized parton distribution functions, within the framework of the chiral quark soliton model. A particular emphasis is put on the pion mass dependence of final predictions, which we shall compare with the predictions of lattice QCD simulations carried out in the so-called heavy pion region around $m_{\pi }\simeq (700\sim 900)MeV$. We find that some observables are very sensitive to the variation of the pion mass. It will be argued that the negligible importance of the quark orbital angular momentum indicated by the LHPC and QCDSF lattice collaborations might be true in the unrealistic heavy pion world, but it is not necessarily the case in our real world close to the chiral limit.

Final version accepted for publication in Phys. Rev. D

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Cited by in corpus (40)

• Nucleon electromagnetic form factors
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• The Spin Structure of the Nucleon
• On Gauge-Invariant Decomposition of Nucleon Spin
• 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 ?
• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• 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
• Gravitational form factors and mechanical properties of proton in a light-front quark-diquark model
• Energy momentum tensor and the D-term in the bag model
• On the D-term of the nucleon generalized parton distributions
• Nucleon's energy-momentum tensor form factors in light-cone QCD
• The Parton Orbital Angular Momentum: Status and Prospects
• Energy-momentum tensor form factors of the nucleon within a $\pi$-$\rho$-$\omega$ soliton model
• In-medium modified energy-momentum tensor form factors of the nucleon within the framework of 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
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• Novel two-to-three hard hadronic processes and possible studies of generalized parton distributions at hadron facilities
• Parton distribution functions and quark orbital motion
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
• Semileptonic hyperon decays in the self-consistent SU(3) chiral quark-soliton model
• 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
• Monopole and quadrupole contributions to the angular momentum density
• Gravitational transition form factors of $N(1535)\to N$
• Axial-vector transitions and strong decays of the baryon antidecuplet in the self-consistent SU(3) chiral quark-soliton model
• Gravitational form factors of hyperons in light-cone QCD
• Gravitational form factors of $N(1535)$ in QCD
• Baryons and Chiral Symmetry
• Are there infinitely many decompositions of the nucleon spin ?
• Orbital structure of quarks inside the nucleon in the light-cone diquark model
• On the new COMPASS measurement of the deuteron spin-dependent structure function $g_1^d$
• Gauge-invariant decomposition of nucleon spin
• On the physics behind the form factor ratio ${\mu }_p{G}_E^p(Q^2)/G_M^p(Q^2)$