Consistent treatment of spin-1 mesons in the light-front quark model

2002/12/31 by Wolfgang Jaus, W. Jaus · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Coupling constant #Covariant transformation #Electroweak interaction #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Pseudoscalar meson #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.67.094010

published as Phys.Rev. D67 (2003) 094010 · 36 pages, figure 1 is included

openalex publication_date 2003/05/14 · arxiv created 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the matrix element of the electroweak current between qq vector meson states in the framework of a covariant extension of the light-front formalism. The light-front matrix element of a one-body current is naturally associated with zero modes, which affect some of the form factors that are necessary to represent the Lorentz structure of the light-front integral. The angular condition contains information on zero modes; i.e., only if the effect of zero modes is accounted for correctly is it satisfied. With plausible assumptions we derive from the angular condition several consistency conditions which can be used quite generally to determine the zero mode contribution of form factors. The correctness of this method is tested by the phenomenological success of the derived form factors. We compare the predictions of our formalism with those of the standard light-front approach and with available data. As examples we discuss the magnetic moment of the \ensuremathρ, the coupling constant g_D^*D\ensuremathπ, and the coupling constants of the pseudoscalar density, g_\ensuremathπ and g_K, which provide a phenomenological link between constituent and current quark masses.

Citations

• coupling (gB*Bπ,gD*Dπ); A quark model with Dirac equation
• Possible explanation of the discrepancy of the light-cone QCD sum rule calculation ofgD*Dπcoupling with experiment

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• Transverse densities and generalized parton distributions of the ρ meson in the light front quark model
• Self-consistent covariant description of vector meson decay constants and chirality-even quark-antiquark distribution amplitudes up to twist 3 in the light-front quark model