# Nuclear deformation in Pb-Pb and Xe-Xe collisions

Description
The quadrupole deformation of heavy nuclei is not directly accessible experimentally
and rely on theoretical predictions in order to extract numerical values.
Ultra-relativstic heavy-ion collisions may serve as a probe of the quadrupole deformation,
through the correlations between the anisotropic flow $v_n$ and the average transverse momentum $[\pt]$.
The anisotropic flow is sensitive to the shape of the initial overlap between the colliding nuclei,
and the average transverse momentum to the size of the initial system. The strength of the correlation
can be quantified with the Pearson Correlation Coefficient $\rho(v_n^2,[\pt])$.
By studying the correlation and the strength of the correlation between $v_n$ and $[\pt]$,
information about the quadrupole deformation of different colliding nuclear species can be inferred.
We look at \XeXe collisions at \sqrtS = 5.44 TeV and \PbPb collisions at \sqrtS = 5.02 TeV
with the \PbPb collisions serving as a baseline for the study of the deformation of the Xe nuclei.