Heavy and light meson wavefunctions

Abstract

We present a short review on the properties of heavy and light mesons' light-cone wavefunctions (LCWFs), and their distribution amplitudes (DAs). The B meson LCWFs can be treated by taking the heavy quark limit ($m_b\to \infty$) and by using the heavy quark effective theory. Furthermore, we propose a simple model for the B meson WFs with 3-particle Fock states' contributions, whose behaviors are controlled by two parameters $\bar{\Lambda }$ and $\delta$. Using such model, the form factors $F_{+,0,T}^{B\to \pi }$ and $F_{+,0,T}^{B\to K}$ in large recoil region are studied up to $\mathcal{O}(1/m_b^2)$ within the $k_T$ factorization approach. On the other hand, we adopt Brodsky-Huang-Lepage (BHL) prescription for constructing the WFs of the lighter pseudoscalars as ${\eta }_c$, D-meson, pion, kaon, ${\eta }^{(\prime )}$ and etc. Such BHL-like model can be conveniently extended to construct the LCWFs for light scalar or vector mesons. Within such model the longitudinal distributions of those WFs are basically determined by a parameter $B$, whose value can be determined via a global fit of experimental data.

15 pages, 12 figures. References updated. To be published in Chinese Science Bulletin

References in corpus (32)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light-cone sum rules for $B\to \pi$ form factors revisited
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Reconciling the light-cone and nonrelativistic QCD approaches to calculating e+ e- -> J/psi + eta_c
• Comparing antithetic trends of data for the pion-photon transition form factor
• Modelling light-cone distribution amplitudes from non-relativistic bound states
• Semileptonic $B_c$ decays and Charmonium distribution amplitude
• The study of leading twist light cone wave function of η_c meson
• The study of leading twist light cone wave functions of J/Psi meson
• NRQCD Factorization for Twist-2 Light-Cone Wave-Functions of Charmonia
• |V_ub| from UTangles and B->pi l nu
• Quenched lattice calculation of the B --> D l nu decay rate
• A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum
• SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules
• A Comprehensive Analysis on the Pion-Photon Transition Form Factor Beyond the Leading Fock State
• Conformal Symmetry and Pion Form Factor: Soft and Hard Contributions
• Form Factor for $B\to Dl\tilde{\nu }$ in Light-Cone Sum Rules With Chiral Current Correlator
• $B_c(B)\to Dl\tilde{\nu }$ form factors in Light-Cone Sum Rules and the $D$-meson distribution amplitude
• Study of quark distribution amplitudes of 1S and 2S heavy quarkonium states
• Information on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the Belle and BaBar Data
• $V_{cb}$ from the semileptonic decay $B\to D\ell {\bar{\nu }}_{\ell }$ and the properties of the $D$ meson distribution amplitude
• Finding a way to determine the pion distribution amplitude from the experimental data
• Kaon Electromagnetic Form Factor within the $k_T$ Factorization Formalism and It's Light-Cone Wave Function
• Heavy-to-light transition form factors and their relations in light-cone QCD sum rules
• Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes
• B-Meson Wave Function through A Comparative Analysis of the $B\to \pi$, $K$ Transition Form Factors

Cited by in corpus (15)

• Distribution Amplitudes of Heavy Mesons and Quarkonia on the Light Front
• Heavy Pseudoscalar Leading-Twist Distribution Amplitudes within QCD Theory in Background Fields
• Enhanced Next-to-Leading-Order Corrections to Weak Annihilation $B$-Meson Decays
• ALP production in weak mesonic decays
• Reconsideration of the $B\to K^{\ast }$ Transition Form Factors within the QCD Light-Cone Sum Rules
• Anatomy of $B_s\to PV$ decays and effects of next-to-leading order contributions in the perturbative QCD factorization approach
• Power corrections to quasi-distribution amplitudes of a heavy meson
• Heavy Pseudoscalar Twist-3 Distribution Amplitudes within QCD Theory in Background Fields
• The $B\to \rho$ helicity form factors within the QCD light-cone sum rules
• The NLO contributions to the scalar pion form factors and the $\mathcal{O}({\alpha }_s^2)$ annihilation corrections to the $B\to \pi \pi$ decays
• The longitudinal and transverse distributions of the pion wavefunction from the present experimental data on the pion-photon transition form factor
• The spin alignment of vector mesons with light front quarks
• ${\bar{B}}_s^0\to ({\pi }^0{\eta }^{(\ast )},{\eta }^{(\ast )}{\eta }^{(\ast )})$ decays and the effects of next-to-leading order contributions in the perturbative QCD approach
• $B_{(s)}\to {\eta }_c(P,V)$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach
• Anatomy of $B_s\to PP$ decays and effects of the next-to-leading order contributions in the perturbative QCD approach