Structure of the recoiling system in direct-photon and<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:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>production by<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:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>beams at 500 GeV/<i>c</i>

We present the results of a study of hadronic jets produced in association with direct photons and ${\ensuremath{\pi}}^{0}'\mathrm{s}$ at large transverse momenta in ${\ensuremath{\pi}}^{\ensuremath{-}}\mathrm{Be}$ and $p\mathrm{Be}$ collisions at 500 GeV/c. Using primarily charged particles to characterize the properties of the recoiling jets, we compare their fragmentation and angular distributions, and their correlation with the trigger particle, for both the $\ensuremath{\gamma}$ and ${\ensuremath{\pi}}^{0}$ event samples. We also compare the data with QCD calculations that incorporate current parton distribution functions.