A detailed analysis of the radiative p (p) over bar annihilation is made in
the framework of a two-step formalism; the p (p) over bar annihilates into
meson channels containing a vector meson with a subsequent conversion into
a photon via the vector dominance model (VDM). Both steps are derived from
the underlying quark model. First, branching ratios for radiative protoniu
m annihilation are calculated and compared with data. Then, details of the
isospin interference are studied for different models of the initial proton
ium state and also for different kinematical form factors. The isospin inte
rference is shown to be uniquely connected to the p (p) over bar-n (n) over
bar mixing in the protonium state. Values of the interference terms direct
ly deduced from data are consistent with theoretical expectations, indicati
ng a dominant p (p) over bar component for the S-1(0) and a sizable n (n) o
ver bar component for the S-3(1) protonium state. The analysis is extended
to the p (p) over bar-->gamma Phi transition, where the large observed bran
ching ratio remains unexplained in the VDM approach. [S0556-2813(99)00402-1
].