The effect of a single-particle (both Lambda and nucleon) continuum on the
features of the reaction C-12(pi(+), K+) C-12(Lambda) has been investigated
in the distorted-wave impulse approximation. Multichannel wave functions h
ave been constructed in the oscillator representation of scattering theory.
The reaction cross section have been computed, and the decay widths of res
onance states have been analyzed. Peaks that can be observed experimentally
have been shown to develop structures upon taking into account protonic de
cay channels. It has been revealed that the resonance peaks in the reaction
cross section are associated predominantly with protonic decay channels an
d that the nonresonance growth of the cross section is due primarily to Lam
bda-particle decay channels. The results of the calculations have been foun
d to comply with experimental data.