B to J/Psi+X in the Inclusive Parton and the ACCMM Model
Abstract
The parton model as developed for semileptonic B decays is applied to the inclusive decay B to J/Psi+X. We calculate the momentum spectrum of the J/Psi using a one-parameter distribution function for the heavy quark, taken from production experiments, and compare our results with recent data from CLEO which fixes the distribution parameter epsilonp. An analogous calculation is carried out in the ACCMM model where the data determines the Fermi motion parameter pf. The models give a good description of the data, provided in each of them the parameter in the distribution function is chosen to correspond to a softer b quark momentum distribution than that commonly used in studies of semileptonic B decays. In particular we arrive at epsilonp = O(0.008) and pf = O(0.55 GeV), respectively. The latter value (pf = 0.5 GeV) produces in the ACCMM model 102*|Vub/Vcb|2=1.03, which removes a former supposed discrepancy with the ISGW model. Finally, the strength of the effective color singlet coefficient is found to be a2 = O(0.28) in both models.
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