The $\rho$-meson and related meson wave functions in QCD sum rules with nonlocal condensates

Abstract

We apply the nonlocal condensate formalism to construct generalized sum rules (including $O(\as)$-radiative corrections) for $\pi$-, $\rho$- and ${\rho }^{\prime }$-meson wave functions of twist 2. Besides, we predict the lepton decay constant $f_{{\rho }^{\prime }}$ and estimate the mass of ${\rho }^{\prime }$-meson. For all these mesons we obtain the first 10 moments of longitudinal wave functions, suggest the models for them and discuss their properties. We consider the peculiarities of the QCD sum rules with nonlocal condensates for transverse $\rho$- and $b_1$-meson wave functions. These results are compared with those found by Ball and Braun and by Chernyak and Zhitnitsky.

10 pages, LATEX, 2 Tables, 4 figures are enclosed as ps-file, Last version: improved figures (added figure captions)

Cited by in corpus (59)

• Hard Exclusive Reactions and the Structure of Hadrons
• Skewed and double distributions in pion and nucleon
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Deeply virtual electroproduction of photons and mesons on the nucleon : leading order amplitudes and power corrections
• The B-Meson Distribution Amplitude in QCD
• Hard exclusive electroproduction of two pions and their resonances
• Higher Twist Distribution Amplitudes of the Nucleon in QCD
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• QCD-based pion distribution amplitudes confronting experimental data
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Pion and photon light-cone wave functions from the instanton vacuum
• Unbiased analysis of CLEO data at NLO and pion distribution amplitude
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• 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?
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Parton distribution amplitudes of light vector mesons
• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• On high $Q^2$ behavior of the pion form factor for transitions ${\gamma }^{\ast }\gamma \to {\pi }^0$ and ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$ within the nonlocal quark-pion model
• Lattice measurements of nonlocal quark condensates, vacuum correlation length, and pion distribution amplitude in QCD
• The Relativistic Bound State Problem in QCD: Transverse Lattice Methods
• Light mesons within the basis light-front quantization framework
• Joint resummation for pion wave function and pion transition form factor
• QCD sum rules with nonlocal condensates and the spacelike pion form factor
• Extracting the rho meson wavefunction from HERA data
• Deep electroproduction of exotic hybrid mesons
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• $B_s^0\to {\ell }^{+}{\ell }^{-}\gamma$ as a Test of Lepton Flavor Universality
• Revisiting the Pion Leading-Twist Distribution Amplitude within the QCD Background Field Theory
• Semileptonic $B(B_s,B_c)$ decays in the light-cone QCD sum rules
• Diffractive production of two rho^0_L mesons in e^+e^- collisions
• Mesons on a transverse lattice
• Dispersive analysis of glueball masses
• QCD sum rules with spectral densities solved in inverse problems
• Deep inside the pion. Reconciling QCD theory with data
• A New Estimate of $B\to (\rho ,\omega )+\gamma$ In The Light-Cone QCD Sum Rule
• Rho meson distribution amplitudes from QCD sum rules with nonlocal condensates
• The $\rho (1S,2S)$, $\psi (1S,2S)$, ${\rm Y}(1S,2S)$ and ${\psi }_t(1S,2S)$ mesons in a double pole QCD Sum Rule
• Partonic structure of pi and rho mesons from data on hard (semi)exclusive production of two pions off nucleon
• Purely leptonic decays of the ground charged vector mesons
• On the pion distribution amplitude. Derivation, properties, predictions
• Operator product expansion and confinement
• Operator Product Expansion and Quark-Hadron Duality: Facts and Riddles
• Dipion light-cone distribution amplitudes and $B\to \pi \pi$ form factors
• On the second Gegenbauer moment of $\rho$-meson distribution amplitude
• A lattice QCD calculation of the transverse decay constant of the b1(1235) meson
• The longitudinal and transverse distributions of the pion wavefunction from the present experimental data on the pion-photon transition form factor
• Selected topics in e^+e^- collisions
• Modifying operator product expansions by non-perturbative non-locality
• Transition form factors and light-cone distribution amplitudes of pseudoscalar mesons in the chiral quark model
• Two-loop contribution to the pion transition form factor vs. experimental data
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models
• Pion quark structure in QCD
• Nonlocal Condensate Model for QCD Sum Rules
• Constraining the rho meson wavefunction
• Pion Form Factor in the NLC QCD SR approach
• Gauge-invariant nonlocal quark condensates in QCD: a new interpretation of the lattice results
• Pion Form Factor in QCD: How to Calculate?