Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one

Let $X$ be an $n$-dimensional complex Fano manifolds $(n\ge 3)$. Assume that $X$ contains a divisor $A$, which is isomorphic to a rational homogeneous space with Picard number one, such that the conormal bundle ${\mathcal{N}}_{A\mathrm{/}X}^{\ast }$ is ample over $A$. Building on the works of Tsukioka, Watanabe and Casagrande-Druel, we give a complete classification of such pairs $(X,A)$.