Positronium formation in positron-He(1s(2)) and positron-alkaline-earth met
als is studied at high-enough impact energies. The importance of simultaneo
us excitation of the target is analysed in comparison with the case where t
he residual target relaxes to its fundamental state. A four-body version of
the continuum-distorted-wave-final-state model is introduced to describe t
his two-electron process, where in the case of alkaline-earth metals, the c
ore formed by the target nucleus and the inner-shell electrons is assumed t
o remain frozen during the collision. Cross sections of electron capture fo
r selective final states and total cross sections are calculated to illustr
ate our analysis.