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Pion form factor and the Klein-Gordon equation
Phys. Rev. C 30, 331 – Published 1 July, 1984
DOI: https://doi.org/10.1103/PhysRevC.30.331
Abstract
We compute ground state energy levels in the Coulomb field of nuclei as a function of the external charge , taking into account the pion electromagnetic form factor in the Klein-Gordon equation. We compare our results to those obtained by solving the Klein-Gordon equation without the form factor or by solving an approximate Klein-Gordon equation from which virtual pair terms have been removed. We find the approximate Klein-Gordon equation to be a priori a better approximation to the form factor Klein-Gordon equation for an external point Coulomb field. In contrast, the Klein-Gordon equation turns out to be an excellent approximation to the form factor Klein-Gordon equation for physical (finite size) nuclei, unlike the approximate Klein-Gordon equation.
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