  We construct SU$(2|1)$, $d=1$ supersymmetric models based on the coupling of
dynamical and semi-dynamical (spin) multiplets, where the interaction term of
both multiplets is defined on the generalized chiral superspace. The dynamical
multiplet is defined as a chiral multiplet ${\bf (2,4,2)}$, while the
semi-dynamical multiplet is associated with a multiplet ${\bf (4,4,0)}$ of the
mirror type.
