On the Size of Hadrons

Details On the Size of Hadrons On the Size of Hadrons

2001-03-14

arxiv.org/abs/hep-ph/0103150v2

Int.J.Mod.Phys. A16 (2001) 4351

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, minor typos corrected, several points clarified, results unchanged

Scientific paper

10.1142/S0217751X01005407

The form factor and the mean-square radius of the pion are calculated analytically from a parametrized form of a $q\bar q$ wave function. The numerical wave function was obtained previously by solving numerically an eigenvalue equation for the pion in a particular model. The analytical formulas are of more general interest than just be valid for the pion and can be generalized to the case with unequal quark masses. Two different parametrizations are investigated. Because of the highly relativistic problem, noticable deviations from a non-relativistic formula are obtained.

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