Hadronic structure on the light-front VIII. Light scalar and vector mesons

Abstract

We use the QCD instanton vacuum model to discuss the emergence of the light scalar and vector mesons on the light front. We take into account both the instanton and anti-instanton single and molecular interactions on the light quarks, in the form of non-local effective interactions. Although the molecular induced interactions are suppressed by a power of the packing fraction, they are still sufficient to bind the vector mesons, while keeping most of the scalar spectrum relatively unchanged. We explicitly derive the light front distribution amplitudes (DAs) and partonic functions (PDFs) for the scalar and vector mesons, and compare them after pertinent QCD evolution, to the available empirical and lattice measured counterparts. The Dirac electric form factors for both the pion and rho meson are derived, and shown to compare well with current data.

arXiv comment42 pages, 24 figures

References in corpus (62)

• Instantons in QCD
• Parton Physics on Euclidean Lattice
• Light-Front Holographic QCD and Emerging Confinement
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• The $\rho$ Meson Light-Cone Distribution Amplitudes of Leading Twist Revisited
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• Rho-omega mixing, vector meson dominance and the pion form-factor
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Pion electromagnetic form factor at spacelike momenta
• Pion Distribution Amplitude from Lattice QCD
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Decay constants and radiative decays of heavy mesons in light-front quark model
• A nonlocal, covariant generalisation of the NJL model
• Pion and photon light-cone wave functions from the instanton vacuum
• Covariant and ligth-front approaches to the rho-meson eletromagnetic form factors
• Evolved QCD predictions for the meson-photon transition form factors
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Symmetry, symmetry breaking, and pion parton distributions
• Meson properties in an extended nonlocal NJL model
• Parton Distribution Functions from a Light Front Hamiltonian and QCD Evolution for Light Mesons
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Direct measurement of the pion valence quark momentum distribution, the pion light-cone wave function squared
• Relativistic treatment of the decay constants of light and heavy mesons
• Pion and sigma meson properties in a relativistic quark model
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Valence-quark distribution functions in the kaon and pion
• Electromagnetic Structure of the $\rho$ Meson in the Light-Front Quark Model
• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Consistent treatment of spin-1 mesons in the light-front formalism
• The Chiral Phase Transition and Instanton Anti-instanton Molecules
• NJL model on the light cone and pion structure function
• Nonperturbative partonic quasidistributions of the pion from chiral quark models
• The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
• Light Meson Form Factors at near Physical Masses
• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• Systematic Study of the Single Instanton Approximation in QCD
• Electromagnetic form factors in the light-front formalism and the Feynman triangle diagram: spin-0 and spin-1 two-fermion systems
• Novel patterns for vector mesons from the large-Nc limit
• Pion Distribution Amplitude and Quasi-Distributions
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Masses and electroweak properties of light mesons in the relativistic quark model
• Decay constants of pseudoscalar and vector mesons with improved holographic wavefunction
• The radius of the rho meson determined from its decay constant
• Meson Properties in the 1/N_c-corrected NJL model
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• Rho meson form factors in a confining Nambu--Jona-Lasinio model
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
• Magnetic and quadrupole moments of light spin-1 mesons in light cone QCD sum rules
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Hadronic structure on the light-front IV: Heavy and light Baryons
• Hadronic structure on the light-front V. Diquarks, Nucleons and multiquark Fock components
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• Dynamical Chiral Symmetry Breaking on the Light Front.II. The Nambu--Jona-Lasinio Model
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum
• Light Mesons on the Light Front

Cited by in corpus (8)

• Pion gravitational form factors in the QCD instanton vacuum I
• Pion gravitational form factors in the QCD instanton vacuum II
• Photo-production of ${\eta }_{c,b}$ near Threshold
• Tomography of the Rho meson in the QCD Instanton Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Medium effects on the electromagnetic form factors of the $\rho$ meson
• Covariant form factors for spin-1 particles
• Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
• Different scenarios of dynamical chiral symmetry breaking in the interacting instanton liquid model via flavor symmetry breaking