  In this article we show that distributive law holds for non-abelian tensor
product of Lie superalgebras under certain direct sums. There by we obtain a
rule for non-abelian exterior square of a Lie superalgebra. We define capable
Lie superalgebra and then give some characterization. Specifically we prove
that epicenter of a Lie superalgebra is equal to exterior center. Finally we
classify all capable Lie superalgebras whose derived subalgebra dimension is at
most one. As an application to those results we have shown that there exists at
least one non-abelian nilpotent capable Lie superalgebra $L$ of dimension $m+n
\geq 3$ where $\dim L=(m \mid n)$.
