Speaker
Description
The orientational treatment of deformed nuclei in high-energy collisions admits two distinct pictures---a classical rigid rotor and quantum symmetry restoration---that construct the laboratory many-body densities differently; a central difficulty of current studies is the lack of probes that can discriminate between them.
We develop a framework for computing laboratory one- and two-body densities and the associated correlators from an intrinsic many-body state, and illustrate it for (^{20})Ne in an axially deformed harmonic-oscillator model, obtaining the densities in both constructions.
Relative rotation softens the effective deformation; from these densities we evaluate the geometric eccentricity variance (\langle\varepsilon_n^2\rangle) driven by fluctuation correlations in ultracentral collisions.
(\langle\varepsilon_n^2\rangle) is dominated by two-body azimuthal correlators and responds approximately linearly to the surface multipole deformation, with classical and quantum results nearly coinciding in the quadrupole channel while higher-order correlation increments are more sensitive to the averaging prescription.
These results provide a reference for nuclear-shape imaging in high-energy collisions and for discriminating classical versus quantum orientational pictures.
