  It is important to understand whether $\alpha$-clustering structures can
leave traces in ultra-relativistic heavy ion collisions. Using the modified
AMPT model, we simulate three $\alpha$ + core configurations of $^{44}$Ti in
$^{44}$Ti+$^{44}$Ti collisions at $\sqrt{s_{NN}}=5.02$ TeV as well as other
systems with Woods-Saxon structures. One of these configurations has no
additional constraint, but the other two have the Mott density edge
$r_{\mathrm{Mott}}$ set as either a lower or upper bound on the cluster
position $r_{\alpha}$ to check the influence of $\alpha$ dissolution. This is
the first time that the initial stage of the geometric properties in heavy-ion
collisions has been configured using the traditional treatment of the nuclear
structure. We compare the radial nucleon density, multiplicity distribution,
transverse momentum spectra, eccentricity, triangularity, elliptic flow and
triangular flow of these six systems. $\alpha$ + core structures can alter all
these observations especially in the most-central collisions, among which
elliptic flow is the most hopeful as a probe of such structures.
