  To assess the properties of the quark-gluon plasma formed in nuclear
collisions, the Pearson correlation coefficient between flow harmonics and mean
transverse momentum, $\rho\left(v_{n}^{2},\left[p_{\mathrm{T}}\right]\right)$,
reflecting the overlapped geometry of colliding atomic nuclei, is measured.
$\rho\left(v_{2}^{2},\left[p_{\mathrm{T}}\right]\right)$ was found to be
particularly sensitive to the quadrupole deformation of the nuclei. We study
the influence of the nuclear quadrupole deformation on
$\rho\left(v_{n}^{2},\left[p_{\mathrm{T}}\right]\right)$ in $\rm{Au+Au}$ and
$\rm{U+U}$ collisions at RHIC energy using $\rm{AMPT}$ transport model, and
show that the $\rho\left(v_{2}^{2},\left[p_{\mathrm{T}}\right]\right)$ is
reduced by the prolate deformation $\beta_2$ and turns to change sign in
ultra-central collisions (UCC).
