Effects of the initial hadron in B→J/ψ+X

In the framework of HQET inclusive decays of b-flavored hadrons can be handled as decays of the free b-quark approximately. We analyse the correction to this approximation for the inclusive decays into a polarized J/ψ, the correction is characterized by two matrix elements defined in HQET. For the J/ψ we use NRQCD to parameterize the formation of the cc̄ pair into J/ψ. Numerically the correction is remarkably large, it can be at the level of 30% and it is mainly due to the Fermi-motion of the b-quark. With this correction we give a new determination for combinations of two NRQCD matrix elements.