Self-Consistent Bootstrap Model for the Electromagnetic Mass Splittings of Baryons and Mesons

We assume that (i) the baryon octet $B$ are bound states of $B$ and $P$, and the pseudoscalar octet $P$ are bound states of $B$ and $\overline{B}$; (ii) magnetic energies and short-range charge-dependent corrections to the strong forces are negligible. Then the only important electromagnetic effects are the Coulomb energies and the mass splittings themselves. The resultant splitting pattern is an intricate function of the $\frac{F}{D}$ ratio; in the currently accepted range of this ratio the pattern agrees with observation as regards signs and orders of magnitude of the mass differences.