Pion light cone wave function in the non-local NJL model
arXiv:hep-ph/0105188 · doi:10.1103/PhysRevD.64.074003
Abstract
We use the simple instanton motivated NJL-type model to calculate the leading twist pion light cone wave function. The model consists in employing the momentum dependent quark mass in the quark loop entering the definition of the wave function. The result is analytical up to a solution of a certain algebraic equation. Various properties including the kT dependence of the pion wave function are discussed. The resulting kT integrated wave function is not asymptotic and is in agreement with recent analysis of the CLEO data.
9 pages, 12 figures, formulas (23-25) corrected, typos corrected
References in corpus (1)
Cited by in corpus (63)
- Photon Distribution Amplitudes in QCD
- QCD-based pion distribution amplitudes confronting experimental data
- Shape of Pion Distribution Amplitude
- Pion form factor in QCD: From nonlocal condensates to NLO analytic perturbation theory
- Unbiased analysis of CLEO data at NLO and pion distribution amplitude
- On the Pion Distribution Amplitude Shape
- Distribution amplitudes and decay constants for mesons in light-front quark model
- Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
- CLEO and E791 data: A smoking gun for the pion distribution amplitude?
- Vector and axial-vector correlators in a nonlocal chiral quark model
- Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
- Gravitational and higher-order form factors of the pion in chiral quark models
- Spectral quark model and low-energy hadron phenomenology
- Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
- Tagging the pion quark structure in QCD
- Light Cone Sum Rules for gamma* N -> Delta Transition Form Factors
- The leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
- Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
- The pion transition form factor and the pion distribution amplitude
- Impact of the higher twist effects on the transition form factor
- Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
- Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
- Pion transition form factor and distribution amplitudes in large-Nc Regge models
- Pion-photon Transition Distribution Amplitudes in the Spectral Quark Model
- Vacuum condensates and the pion wave functions in the nonlocal chiral model
- Photon distribution amplitudes and light-cone wave functions in chiral quark models
- Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
- Two-particle twist-3 distribution amplitudes of the pion and kaon in the light-front quark model
- Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
- Twist-3 pion and kaon distribution amplitudes from the instanton vacuum with flavor SU(3) symmetry breaking
- Pion radiative weak decays in nonlocal chiral quark models
- Leading-twist light cone distribution amplitudes for p-wave heavy quarkonium states
- Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes
- Deep inside the pion. Reconciling QCD theory with data
- Approximating chiral quark models with linear sigma-models
- A Model for the Pion Structure Function
- Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
- The gluon content of the and mesons and the , electromagnetic transition form factors
- Transversity form factors of the pion in chiral quark models
- The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
- Pseudoscalar meson decay constants and distribution amplitudes up to twist-4 in the light-front quark model
- Model analysis of the world data on the pion transition form factor
- The nNJL model with a fractional Lorentzian regulator in the real time formalism
- New vistas of the meson structure in QCD from low to high energies
- Light-cone sum rules for the transitions for real photons
- Form factors of radiative pion decays in nonlocal chiral quark models
- Studying explicit symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
- Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
- On the second Gegenbauer moment of -meson distribution amplitude
- Effective chiral lagrangian in the chiral limit from the instanton vacuum
- Extended nonlocal chiral-quark model for the D- and B-meson weak-decay constants
- Photon Distribution Amplitudes in nonlocal chiral quark model
- Study of light-cone distribution amplitudes for p-wave heavy mesons
- Weak magnetic field effects on chiral critical temperature in a nonlocal Nambu--Jona-Lasinio model
- Constraint of -moments calculated with QCD sum rules on the pion distribution amplitude models
- Transversity Form Factors and Generalized Parton Distributions of the pion in chiral quark models
- Effective Weak Chiral Lagrangian from the Instanton Vacuum
- Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
- Off-shell photon distribution amplitudes in the low-energy effective theory of QCD
- Heavy pseudoscalar-meson decay constants with strangeness from the extended nonlocal chiral-quark model
- Extended nonlocal chiral-quark model for the heavy-light quark systems
- Pion generalized parton distributions at zero skewness
- Minimal Ward-Takahashi Vertices and Pion Light Cone Distribution Amplitudes from Gauge Invariant, Nonlocal, Dynamical Quark Model