  One can derive a large class of new $\mathcal{N}=1$ SCFTs by turning on
$\mathcal{N}=1$ preserving deformations for $\mathcal{N}=2$ Argyres-Dougals
theories. In this work, we use $\mathcal{N}=2$ superconformal indices to get
indices of $\mathcal{N}=1$ SCFTs, then use these indices to derive chiral rings
of $\mathcal{N}=1$ SCFTs. For a large class of $\mathcal{N}=2$ theories, we
find that the IR theory contains only free chirals if we deform the parent
$\mathcal{N}=2$ theory using the Coulomb branch operator with smallest scaling
dimension. Our results provide interesting lessons on studies of
$\mathcal{N}=1$ theories, such as $a$-maximization, accidental symmetries,
chiral ring, etc.
