Abstract
We write equations for a new set of leading-logarithmic parton "propagators." These differ from past "color-connecting" propagators in that they keep explicit track of the momentum of the gluons associated with the quarks in the colorless cluster. Because of this, the new functions lead in a simple and natural way to computation of the $x$ distribution and mass distribution of colorless clusters in jets. Hence they should prove more useful for phenomenological calculations.
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