Reaction<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>d</mml:mi><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>d</mml:mi></mml:math>at 15 GeV/<i>c</i>

About 1800 events of the reaction ${\ensuremath{\pi}}^{+}d\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}d$ have been obtained from 387 000 photographs of the SLAC 82-in. bubble chamber corresponding to a 495 \ifmmode\pm\else\textpm\fi{} 25 \ensuremath{\mu}b cross section. The increasing cross section of this reaction with beam momentum is explained in terms of minimum momentum-transfer cutoff. The ${D}^{*}(2200)$ is observed as both $d{\ensuremath{\pi}}^{+}$ and $d{\ensuremath{\pi}}^{\ensuremath{-}}$ mass peaks. The ${A}_{1}({\ensuremath{\rho}}^{0}{\ensuremath{\pi}}^{+})$ is consistent with a Deck-type mechanism. The ${A}_{3}({f}^{0}{\ensuremath{\pi}}^{+})$ is also observed, but the ${A}_{4}$ peak recently claimed is not seen in these data. There is no statistically significant $3\ensuremath{\pi}$ mass enhancement at the ${A}_{2}$ region, but indirect evidence indicates some ${A}_{2}$ production.