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arXiv · 2605.26088

Multipole tomography of atomic nuclei with symmetry-conserved theories

X. Sun·J. Dobaczewski·W. Nazarewicz·H. Wibowo
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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 $J\leq1/2$, 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 $^{16}$O and $^{20}$Ne, 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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X. Sun, J. Dobaczewski, W. Nazarewicz, H. Wibowo. 2026-05-25. Multipole tomography of atomic nuclei with symmetry-conserved theories. https://arxiv.org/abs/2605.26088

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