Frame dependence of transition form factors in light-front dynamics

Abstract

We calculate the transition form factor between vector and pseudoscalar quarkonia in both the timelike and the spacelike region using light-front dynamics. We investigate the frame dependence of the form factors for heavy quarkonia with light-front wavefunctions calculated from the valence Fock sector. This dependence could serve as a measure for the Lorentz symmetry violation arising from the Fock-space truncation. We suggest using frames with minimal longitudinal momentum transfer for calculations in the valence Fock sector, namely the Drell-Yan frame for the space-like region and a specific longitudinal frame for the timelike region; at $q^2=0$ these two frames give the same result. We also use the transition form factor in the timelike region to investigate the electromagnetic Dalitz decay ${\psi }_A\to {\psi }_B{l}^{+}{l}^{-}$ ($l=e,\mu$) and predict the effective mass spectrum of the lepton pair.

References in corpus (39)

• Higher Charmonia
• Light-Front Holographic QCD and Emerging Confinement
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Hamiltonian light-front field theory in a basis function approach
• Radiative Transitions in Charmonium from Lattice QCD
• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front
• Bottomonium Mesons and Strategies for Their Observation
• Precision tests of the J/ψ from full lattice QCD: mass, leptonic width and radiative decay rate to η_c
• Heavy Quarkonium in a Holographic Basis
• Model-independent Study of Magnetic Dipole Transitions in Quarkonium
• Quarkonium as relativistic bound state on the light front
• Exact Light-Cone Wavefunction Representation of Matrix Elements of Electroweak Current
• Form Factors of Meson Decays in the Relativistic Constituent Quark Model
• Basis Light-Front Quantization Approach to Positronium
• Spectrum and electromagnetic transitions of bottomonium
• Lattice QCD study of the radiative decays $J/\psi \to {\eta }_c\gamma$ and $h_c\to {\eta }_c\gamma$
• Pairs in the light-front and covariance
• Measurement of the omega -> pi^0 e^+e^- and eta -> e^+e^-g Dalitz decays with the A2 setup at MAMI
• Improved determination of Heavy Quarkonium magnetic dipole transitions in pNRQCD
• Transition Form Factors between Pseudoscalar and Vector Mesons in Light-Front Dynamics
• Production of the ${\eta }_b(nS)$ states
• Measurement of the $\varphi \to {\pi }^0{e}^{+}{e}^{-}$ transition form factor with the KLOE detector
• Electromagnetic form factors in the light-front formalism and the Feynman triangle diagram: spin-0 and spin-1 two-fermion systems
• Radiative transitions between $0^{-+}$ and $1^{--}$ heavy quarkonia on the light front
• Study of Dalitz decay phi -> eta e+e- with KLOE detector
• Diffractive charmonium spectrum in high energy collisions in the basis light-front quantization approach
• Ab Initio Approach to the Non-Perturbative Scalar Yukawa Model
• Form Factors and Generalized Parton Distributions of Heavy Quarkonia in Basis Light Front Quantization
• Observation of Electromagnetic Dalitz decays J/ψ\to P e^+e^-
• Study of the $\rho$ and $\omega$ meson decays into pseudoscalar meson and $e^{+}{e}^{-}$ pair with the CMD-2 detector
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Comparison among Hamiltonian light-front formalisms at q+ = 0 and q+ <> 0: space-like elastic form factors of pseudoscalar and vector mesons
• Frame dependence of form factors in light-front dynamics
• Hindered M1 Radiative Decay of ${\rm Y}(2S)$ from Lattice NRQCD
• Nonperturbative solution of scalar Yukawa model in two- and three-body Fock space truncations
• Observation of $\psi (3686)\to {\eta }^{\prime }{e}^{+}{e}^{-}$
• Frame-Independence of Exclusive Amplitudes in the Light-Front Quantization
• Zero Mode Effect Generalization for the Electromagnetic Current in the Light Front

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• 50 Years of Quantum Chromodynamics
• Light-front wavefunctions of mesons by design
• Basis Light-Front Quantization for a Chiral Nucleon-Pion Lagrangian
• Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers
• Semileptonic Decay of $B_c$ to ${\eta }_c$ and $J/\psi$ on the Light Front
• On the light-front wave functions of quarkonia
• Covariant analysis of electromagnetic current on the light cone: exposition with scalar Yukawa theory
• Ward-Takahashi identity in the light-front formalism for a bound state of fermions
• Frame dependence of transition form factors in light-front dynamics
• Covariant form factors for spin-1 particles