Intersectional pairs of $n$-knots, local moves of $n$-knots, and their associated invariants of $n$-knots

Let $n$ be an integer$\geqq 0$. Let $S_1^{n+2}$ (respectively, $S_2^{n+2}$) be the $(n+2)$-sphere embedded in the $(n+4)$-sphere $S^{n+4}$. Let $S_1^{n+2}$ and $S_2^{n+2}$ intersect transversely. Suppose that the smooth submanifold, $S_1^{n+2}\cap S_2^{n+2}$ in $S_i^{n+2}$ is PL homeomophic to the $n$-sphere. Then $S_1^{n+2}$ and $S_2^{n+2}$ in $S_i^{n+2}$ is an $n$-knot $K_i$. We say that the pair $(K_1,K_2)$ of n-knots is realizable. We consider the following problem in this paper. Let $A_1$ and $A_2$ be n-knots. Is the pair $(A_1,A_2)$ of $n$-knots realizable? We give a complete characterization.