Multipole tomography of atomic nuclei with conserved symmetries
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866916045455884288 |
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| author | Sun, X. Dobaczewski, J. Nazarewicz, W. Wibowo, H. |
| author_facet | Sun, X. Dobaczewski, J. Nazarewicz, W. Wibowo, H. |
| contents | We introduce two-body nuclear conditional probabilities that allow the definition of an intrinsic reference frame and the multipole moments of angular-momentum-$J$-conserving states. This enables the characterization of quadrupole deformations of states with $J\leq1/2$, which are not accessible via spectroscopic one-body quadrupole moments. We illustrate the method with nuclear density functional theory (DFT) 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 are not equal to the one-body moments obtained from broken-symmetry states, mainly because of Pauli repulsion effects. Calculations of two-body multipole moments can be performed within various theoretical frameworks, but their experimental determination requires measuring two-body correlations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_26088 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multipole tomography of atomic nuclei with conserved symmetries Sun, X. Dobaczewski, J. Nazarewicz, W. Wibowo, H. Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment We introduce two-body nuclear conditional probabilities that allow the definition of an intrinsic reference frame and the multipole moments of angular-momentum-$J$-conserving states. This enables the characterization of quadrupole deformations of states with $J\leq1/2$, which are not accessible via spectroscopic one-body quadrupole moments. We illustrate the method with nuclear density functional theory (DFT) 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 are not equal to the one-body moments obtained from broken-symmetry states, mainly because of Pauli repulsion effects. Calculations of two-body multipole moments can be performed within various theoretical frameworks, but their experimental determination requires measuring two-body correlations. |
| title | Multipole tomography of atomic nuclei with conserved symmetries |
| topic | Nuclear Theory High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2605.26088 |