Abstract

Electromagnetic form factors are examined for a two-body composite system with emphasis on the case of small momentum transfer and deep (relativistic) binding. A spectral representation of the bound-state vertex function is used to develop a bound-state relativistic effective-range approximation (BRERA) and applied to the calculation of the electromagnetic form factors of the K mesons. The ratio ξ of the squared charge radii 〈 r 2〉 K 0 and 〈 r 2〉 K + is calculated and found to obey an inequality conjectured by Greenberg, Nussinov, and Sucher, for a large range of values of the parameters entering the BRERA. If the parameters are constrained by extending the BRERA to the pions and then requiring a fit to the K l 3 form-factor data, the charge radii of the kaons and the pions are determined. Comparison is made with recent experimental results.

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