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Multipole tomography of atomic nuclei with symmetry-conserved theories
Abstract
To define the intrinsic reference frame and multipole moments of angular-momentum-J-conserving many-body wave functions, we introduce two-body conditional probabilities of finding two nucleons at different positions in space. In this way, quadrupole deformations of states with J≤1/2, which are not accessible via spectroscopic one-body quadrupole moments, can be characterized. We illustrate the method with nuclear density functional theory calculations for J=0 states of 16O and 20Ne, the latter obtained by restoring rotational symmetry of prolate or oblate intrinsic configurations. We show that the two-body quadrupole shape characterizations differ from one-body moments obtained from broken-symmetry states.
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BibTeX
@misc{sun2026multipole,
title = {{Multipole tomography of atomic nuclei with symmetry-conserved theories}},
author = {X. Sun and J. Dobaczewski and W. Nazarewicz and H. Wibowo},
howpublished = {arXiv},
year = {2026},
month = jun,
doi = {10.48550/arxiv.2605.26088},
eprint = {2605.26088},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.26088},
}
RIS
TY - UNPB
TI - Multipole tomography of atomic nuclei with symmetry-conserved theories
AU - X. Sun
AU - J. Dobaczewski
AU - W. Nazarewicz
AU - H. Wibowo
PY - 2026
DA - 2026/06/17
PB - arXiv
DO - 10.48550/arxiv.2605.26088
UR - https://arxiv.org/abs/2605.26088
AB - To define the intrinsic reference frame and multipole moments of angular-momentum-J-conserving many-body wave functions, we introduce two-body conditional probabilities of finding two nucleons at different positions in space. In this way, quadrupole deformations of states with J≤1/2, which are not accessible via spectroscopic one-body quadrupole moments, can be characterized. We illustrate the method with nuclear density functional theory calculations for J=0 states of ^16O and ^20Ne, the latter obtained by restoring rotational symmetry of prolate or oblate intrinsic configurations. We show that the two-body quadrupole shape characterizations differ from one-body moments obtained from broken-symmetry states.
ER -