Electromagnetic form factors of pion and rho in the three forms of relativistic kinematics

Physics – High Energy Physics – High Energy Physics - Phenomenology

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10 pages, color figures. Revised references and discussion. Accepted in Phys. Letts. B

Scientific paper

10.1016/j.physletb.2004.10.004

The electromagnetic form factors of the $\pi$ and the $\rho$ are obtained using the three forms of relativistic kinematics, instant form, point form and (light) front form. Simple representations of the mass operator together with single quark currents are employed with all the forms. The Poincar\'e covariant current operators are generated by the dynamics from single-quark currents that are covariant under the kinematic subgroup. Front and instant forms allow to reproduce the available data for the pion form factor. On the other hand point form is not able to reproduce qualitatively the experimental data with reasonable values for the wave function parameters. For the $\rho$ electromagnetic form factors, instant and front forms provide a consistent picture. The obtained results do not depend appreciably on the wave function used.

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