Heavy quark distribution functions in heavy baryons

Abstract

Using the Bethe-Salpeter (BS) equations for heavy baryons ΛQ, ΣQ, ΞQ and ΩQ (Q=b or c), which were established in previous work, we calculate the heavy quark distribution functions in these baryons. The numerical results indicate that these distribution functions have an obvious peak at some fraction α0 of the baryon’s light-cone “plus” momentum component carried by the heavy quark, and that as mQ becomes heavier this peak becomes sharper and closer to 1. The dependence of the distribution functions on various input parameters in the BS model is also discussed. The results are seen to be qualitatively similar to an existing phenomenological model.