Electromagnetic Mass Splittings of the Baryon Octet

It is assumed that the electromagnetic mass splittings within the baryon octet can be self-consistently calculated from the one-photon elastic form-factor contribution and the electromagnetic mass differences within the pseudoscalar-meson octet. The baryon mass differences are shown to be expressible as functions of three parameters: a cutoff $\ensuremath{\Lambda}$, the $\frac{f}{d}$ ratio, and the pion-nucleon coupling constant. A unique set of real values for these parameters is found which correctly predicts both the sign and magnitude of all the electromagnetic baryon mass splittings. The pion-nucleon coupling constant is found to be equal to 16.7, in good agreement with experiment.