In this paper we explore a method for treating heavy quarks such as $c$ and $b$ quarks within the jet calculus. These quarks are differentiated from the more common $u$, $d$, and $s$ quarks by the requirement that the gluons never branch into heavy-quark pairs during the jet development. We compute and discuss the charmed-quark "propagators"; the $x$ distribution of colorless clusters containing a charmed quark, a noncharmed antiquark, and gluons; and the mass distribution of the parent partons giving rise to these colorless clusters.

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