Ab initio computations of the fourth-order charge density moments of $^{48}$Ca and $^{208}$Pb
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914171102167040 |
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| author | Miyagi, T. Heinz, M. Schwenk, A. |
| author_facet | Miyagi, T. Heinz, M. Schwenk, A. |
| contents | Neutron skins of neutron-rich nuclei connect nuclei with the matter in neutron stars. High-precision measurements of nuclear charge densities to extract higher-order moments are proposed to be sensitive to neutron radii and skin thicknesses. We investigate the charge density of $^{48}$Ca and $^{208}$Pb, leading candidates for such studies, with ab initio nuclear structure calculations. We find strong correlations between the fourth-order charge density moment $R_\mathrm{ch}^4$ and the charge and neutron radii, allowing us to predict $R_\mathrm{ch}^4$ for $^{48}$Ca and $^{208}$Pb. We find a substantially weaker correlation between the fourth-order charge density moment and the neutron skin, limiting the ability of high-precision electron scattering to determine the neutron skin in a model-independent manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ab initio computations of the fourth-order charge density moments of $^{48}$Ca and $^{208}$Pb Miyagi, T. Heinz, M. Schwenk, A. Nuclear Theory Nuclear Experiment Neutron skins of neutron-rich nuclei connect nuclei with the matter in neutron stars. High-precision measurements of nuclear charge densities to extract higher-order moments are proposed to be sensitive to neutron radii and skin thicknesses. We investigate the charge density of $^{48}$Ca and $^{208}$Pb, leading candidates for such studies, with ab initio nuclear structure calculations. We find strong correlations between the fourth-order charge density moment $R_\mathrm{ch}^4$ and the charge and neutron radii, allowing us to predict $R_\mathrm{ch}^4$ for $^{48}$Ca and $^{208}$Pb. We find a substantially weaker correlation between the fourth-order charge density moment and the neutron skin, limiting the ability of high-precision electron scattering to determine the neutron skin in a model-independent manner. |
| title | Ab initio computations of the fourth-order charge density moments of $^{48}$Ca and $^{208}$Pb |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2508.10767 |