RQM description of the charge form factor of the pion and its asymptotic behavior
In: Eur.Phys.J.A42:219-236,2009; (2009)
Online
report
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 it 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-$Q^2$ behavior of the charge form factor and the pion-decay constant are also discussed.}
Comment: 30 pages, 10 figures
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RQM description of the charge form factor of the pion and its asymptotic behavior
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Autor/in / Beteiligte Person: | Desplanques, Bertrand |
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Quelle: | Eur.Phys.J.A42:219-236,2009; (2009) |
Veröffentlichung: | 2009 |
Medientyp: | report |
DOI: | 10.1140/epja/i2009-10864-8 |
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