  We have studied, for the first time, the influence of the collective quantum
effects in the nuclear wave functions on the azimuthal anisotropy coefficients
$\epsilon_{2,3}$ in the central Pb+Pb collisions at the LHC energies. With the
help of the energy weighted sum rule we demonstrate that the classical
treatment with the Woods-Saxon nuclear density overestimates the mean square
quadrupole moment of the $^{208}$Pb nucleus by a factor of $\sim 2.2$. The
Monte-Carlo Glauber simulation of the central Pb+Pb collisions accounting for
the restriction on the quadrupole moment leads to $\epsilon_2/\epsilon_3\approx
0.8$ which allows to resolve the $v_2$-to-$v_3$ puzzle.
