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RQM description of the charge form factor of the pion and its asymptotic behavior

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Abstract

The pion charge and scalar form factors, F 1(Q 2) and F 0(Q 2) , are first calculated in different forms of relativistic quantum mechanics. This is done using the solution of a mass operator that contains both confinement and one-gluon exchange interactions. Results of calculations, based on a one-body current, are compared to experiment for the first one. As could be expected, those point form, and instant and front-form ones in a parallel momentum configuration fail to reproduce experiment. The other results corresponding to a perpendicular momentum configuration (instant form in the Breit frame and front form with q + = 0 do much better. The comparison of charge and scalar form factors shows that the spin-1/2 nature of the constituents plays an important role. Taking into account that only the last set of results represents a reasonable basis for improving the description of the charge form factor, this one is then discussed with regard to the asymptotic QCD power law behavior Q-2. The contribution of two-body currents in achieving the right power law is considered while the scalar form factor, F 0(Q 2) , is shown to have the right power law behavior in any case. The low-Q2 behavior of the charge form factor and the pion decay constant are also discussed.

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Authors and Affiliations

  1. Laboratoire de Physique Subatomique et de Cosmologie, Université Joseph Fourier Grenoble 1, CNRS/IN2P3, INPG, F-38026, Grenoble Cedex, France

    B. Desplanques

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  1. B. Desplanques
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Correspondence to B. Desplanques.

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Communicated by V. Vento

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Desplanques, B. RQM description of the charge form factor of the pion and its asymptotic behavior. Eur. Phys. J. A 42, 219 (2009). https://doi.org/10.1140/epja/i2009-10864-8

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  • DOI: https://doi.org/10.1140/epja/i2009-10864-8

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