Orientational average in nuclear shape imaging: densities, correlations, and eccentricity in Ne-20

@misc{deng2026orientational,
  title = {{Orientational average in nuclear shape imaging: densities, correlations, and eccentricity in Ne-20}},
  author = {Jian Deng and Hao-jie Xu and Qun Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32386},
  eprint = {2610.32386},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32386},
}

TY  - UNPB
TI  - Orientational average in nuclear shape imaging: densities, correlations, and eccentricity in Ne-20
AU  - Jian Deng
AU  - Hao-jie Xu
AU  - Qun Wang
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32386
UR  - https://arxiv.org/abs/2610.32386
AB  - The orientational treatment of deformed nuclei in high-energy nuclear collisions have two ways, a rigid rotor and a wave-function rotor, in which nuclear densities in laboratory frame are constructed differently. We calculate the one- and two-body densities (including Pauli blocking effects), body-axis contour multipoles, and geometric eccentricity variances under a leading-order ultracentral mapping for Ne-20 in a deformed harmonic-oscillator model in the rigid and wave-function rotors. At fixed deformation parameter κ in the model, the two constructions can give different laboratory radial moments and pair correlations. The body-axis transition-kernel contours in the wave-function rotor are generally more compact along the symmetry axis, and β_20, β_40, ⟨ε_2^2⟩ and ⟨ε_4^2⟩ lie below the rigid-rotor results in a wide range of κ. The relations among these quantities in each rotor are nevertheless similar in most scanned parameter space: β_40 and ⟨ε_2^2⟩ depend linearly on β_20^2, while the hexadecapole baseline-subtracted variance follows an approximate quadratic trend in the quadrupole one. The method can be extended to seek more sensitive quantities for rotational effects in the wave-function rotor.
ER  -