The pd<->pi(+) t process has been calculated in the energy region arou
nd the Delta resonance with elementary production/absorption mechanism
s involving one and two nucleons. The isobar degrees of freedom have b
een explicitly included in the two-nucleon mechanism via pi- and rho-e
xchange diagrams. No free parameters have been employed in the analysi
s since all the parameters have been fixed in previous studies on the
simpler pp<->pi(+) d process. The treatment of the few-nucleon dynamic
s entailed a Faddeev-based calculation of the reaction, with continuum
calculations for the initial p-d state and accurate solutions of the
three-nucleon bound-state equation. The integral cross section was fou
nd to be quite sensitive to the NN interaction employed while the angu
lar dependence showed less sensitivity. Approximately a 4% effect was
found for the one-body mechanism, for the three-nucleon dynamics in th
e p-d channel, and for the inclusion of a large, possibly converged, n
umber of three-body partial states, indicating that these different as
pects are of comparable importance in the calculation of the spin-aver
aged observables.