  In this article, we tentatively assign the $X(3915)$ and $X(4500)$ to be the
ground state and the first radial excited state of the
axialvector-diquark-axialvector-antidiquark type scalar $cs\bar{c}\bar{s}$
tetraquark states, respectively, assign the $X(4700)$ to be the ground state
vector-diquark-vector-antidiquark type scalar $cs\bar{c}\bar{s}$ tetraquark
state, and study their masses and pole residues with the QCD sum rules in
details by calculating the contributions of the vacuum condensates up to
dimension 10. The numerical results support assigning the $X(3915)$ and
$X(4500)$ to be the ground state and the first radial excited state of the
axialvector-diquark-axialvector-antidiquark type scalar $cs\bar{c}\bar{s}$
tetraquark states, respectively, and assigning the $X(4700)$ to be the ground
state vector-diquark-vector-antidiquark type scalar $cs\bar{c}\bar{s}$
tetraquark state.
