Pion-photon and photon-pion transition form factors in light-cone formalism

Abstract

We derive the minimal Fock-state expansions of the pion and the photon wave functions in light-cone formalism, then we calculate the pion-photon and the photon-pion transition form factors of ${\gamma }^{\ast }{\pi }^0\to \gamma$ and ${\gamma }^{\ast }\gamma \to {\pi }^0$ processes by employing these quark-antiquark wave functions of the pion and the photon. We find that our calculation for the ${\gamma }^{\ast }\gamma \to {\pi }^0$ transition form factor agrees with the experimental data at low and moderately high energy scale. Moreover, the physical differences and inherent connections between the transition form factors of ${\gamma }^{\ast }{\pi }^0\to \gamma$ and ${\gamma }^{\ast }\gamma \to {\pi }^0$ have been illustrated, which indicate that these two physical processes are intrinsically related. In addition, we also discuss the ${\pi }^0\to \gamma \gamma$ form factor and the decay width $\Gamma (\pi \to \gamma \gamma )$ at $Q^2=0$.

20 pages, 2 figures

References in corpus (3)

• Melosh rotation: source of the proton's missing spin
• Electromagnetic Form Factors of Nucleons in a Light-cone Diquark Model
• Understanding the proton spin "puzzle" with a new "minimal" quark model

Cited by in corpus (32)

• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
• Sivers function in light-cone quark model and azimuthal spin asymmetries in pion electroproduction
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• Quark Wigner distributions in a light-cone spectator model
• Generalized Parton Distributions of Pion for Non-Zero Skewness in AdS/QCD
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• Tomography of light mesons in light-cone quark model
• A Comprehensive Analysis on the Pion-Photon Transition Form Factor Beyond the Leading Fock State
• Photon-meson transition form factors of light pseudoscalar mesons
• Quark--antiquark states and their radiative transitions in terms of the spectral integral equation. {\Huge I.} Bottomonia
• Quark Wigner distribution of the pion meson in light-cone quark model
• Heavy and light meson wavefunctions
• Boer-Mulders effect in the unpolarized pion induced Drell-Yan process at COMPASS within TMD factorization
• Boer-Mulders function of pion meson and $q_T$-weighted $\cos 2\varphi$ asymmetry in the unpolarized ${\pi }^{-}p$ Drell-Yan at COMPASS
• Quark--antiquark states and their radiative transitions in terms of the spectral integral equation. {\Huge II.} Charmonia
• Pions valence quark distributions in asymmetric nuclear matter at finite temperature
• Heavy quarkonium 2S states in light-front quark model
• Quark spin-orbit correlations in the pion meson in light-cone quark model
• Sivers function of sea quarks in the light-cone model
• Does nuclear medium affect the transverse momentum-dependent parton distributions of valence quark of pions?
• Transverse and spatial structure of light to heavy pseudoscalar mesons in light-cone quark model
• The longitudinal and transverse distributions of the pion wavefunction from the present experimental data on the pion-photon transition form factor
• B_c meson rare decays in the light-cone quark model
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization
• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Tetramixing of vector and pseudoscalar mesons: A source of intrinsic quarks
• Six-dimensional light-front Wigner distribution of hadrons
• Six-dimensional light-front Wigner distributions of the proton
• Photon-pion transition form factor of two photon process at BESIII from light-cone quantum field theory
• Determination of quark-antiquark component of the photon wave function for u, d, s quarks
• Charmed quark component of the photon wave function