Ion/ion instabilities are driven by the relative velocity v(o) of two disti
nct ion components. This manuscript reports linear theory and simulation st
udies of electromagnetic ion/ion instabilities for a warm proton component
streaming against a cool, heavy ion component in a homogeneous, magnetized,
collisionless plasma in which v(o) is parallel or antiparallel to the back
ground magnetic field. Under these conditions linear Vlasov dispersion theo
ry predicts that the fastest growing mode is usually the right-hand polariz
ed proton resonant instability. Two-dimensional initial value hybrid simula
tions of this growing mode are carried out, yielding scaling relations for
the maximum fluctuating magnetic field energy density and the proton pickup
time. The latter is proportional to the inverse of the maximum growth rate
for a wide range of plasma parameters.