  Semi-inclusive decays, $\hlx$, are studied in the framework of the minimal
supersymmetric standard model without $R-$parity, where $\qh$ ($\ql$) are the
second or third (first or second) generation quarks with the same charge and
$\xi$ is a vector meson formed by $q_j \qb_j$. The study is focused on the
contributions of sfermions with $m_{\sf} < m_{\rm top}$. In this mass region,
CP asymmetries in top decays can be induced by taking into account the
decay-widths of the exchanged-bosons, while in light-quark decays it can be
generated due to the long-distance effects. The contributions of sfermions also
alter the branching-ratios destructively or constructively depend on the phases
of complex couplings of the $R-$parity violation interactions.
