Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics

Abstract

The relativistic point-form formalism that we proposed for the study of the electroweak structure of few-body bound states is applied to calculate the elastic form factors of spin-1 mesons, such as the rho meson, within constituent-quark models. We treat electron-meson scattering as a Poincare-invariant coupled-channel problem for a Bakamjian-Thomas mass operator and extract the meson current from the resulting invariant 1-photon-exchange amplitude. Wrong cluster properties inherent in the Bakamjian-Thomas framework are seen to cause spurious contributions in the current. These contributions, however, can be separated unambiguously from the physical ones and we end up with a meson current with all required properties. Numerical results for the rho-meson form factors are presented assuming a simple harmonic-oscillator bound-state wave function. The comparison with other approaches reveals a remarkable agreement of our results with those obtained within the covariant light-front scheme proposed by Carbonell et al. [Phys. Rep. 300, 215 (1998)].

18 pages, 4 figures, a few typos corrected; version published in Phys. Rev. C

References in corpus (4)

• Vector meson form factors and their quark-mass dependence
• Electromagnetic nucleon form factors in instant and point form
• Point-Form Hamiltonian Dynamics and Applications
• Point-form quantum field theory and meson form factors

Cited by in corpus (4)

• $\rho$ meson unpolarized generalized parton distributions with a light-front constituent quark model
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Semileptonic meson decays in point-form relativistic quantum mechanics: unambiguous extraction of weak form factors
• Ward-Takahashi identity in the light-front formalism for a bound state of fermions