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)].

arXiv comment18 pages, 4 figures, a few typos corrected; version published in Phys. Rev. C

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• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Unambiguous Extraction of the Electromagnetic Form Factors for Spin-1 Particles on the Light-Front
• Rho-meson properties in medium
• Semileptonic meson decays in point-form relativistic quantum mechanics: unambiguous extraction of weak form factors
• Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
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• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• The Pion-Cloud Contribution to the Electromagnetic Nucleon Form Factors
• Ward-Takahashi identity in the light-front formalism for a bound state of fermions