How do mirror charge radii constrain density dependence of the symmetry energy?
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913486929395712 |
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| author | Hu, Bai-Shan |
| author_facet | Hu, Bai-Shan |
| contents | It has recently been suggested that differences in the charge radii of mirror nuclei ($ΔR^{\rm mirr}_{\rm ch}$) are strongly correlated with the neutron-skin thickness ($R_{\rm skin}$) of neutron-rich nuclei and with the slope of the symmetry energy ($L$). To test this assumption, we present ab initio calculations of $R_{\rm skin}$ in $^{48}$Ca and $^{208}$Pb, $ΔR^{\rm mirr}_{\rm ch}$ in $^{36}$Ca$-^{36}$S, $^{38}$Ca$-^{38}$Ar, $^{41}$Sc$-^{41}$Ca, $^{48}$Ni$-^{48}$Ca, $^{52}$Ni$-^{52}$Cr, and $^{54}$Ni$-^{54}$Fe mirror pairs, and $L$. Employing the recently developed 34 chiral interaction samples, identified by the history matching approach, we conduct rigorous statistical analysis of correlations among $ΔR^{\rm mirr}_{\rm ch}$, $R_{\rm skin}$ and $L$, accounting for quantified uncertainties from low-energy constants of chiral interaction, chiral effective field theory truncation and many-body method approximation. The ab initio results reveal an appreciable $ΔR^{\rm mirr}_{\rm ch}-L$ correlation in $fp$-shell mirror pairs. However, contrary to previous studies, the present calculation finds that the studied $sd$-shell mirror pairs do not exhibit any $ΔR^{\rm mirr}_{\rm ch}-L$ correlation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_17403 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | How do mirror charge radii constrain density dependence of the symmetry energy? Hu, Bai-Shan Nuclear Theory Nuclear Experiment It has recently been suggested that differences in the charge radii of mirror nuclei ($ΔR^{\rm mirr}_{\rm ch}$) are strongly correlated with the neutron-skin thickness ($R_{\rm skin}$) of neutron-rich nuclei and with the slope of the symmetry energy ($L$). To test this assumption, we present ab initio calculations of $R_{\rm skin}$ in $^{48}$Ca and $^{208}$Pb, $ΔR^{\rm mirr}_{\rm ch}$ in $^{36}$Ca$-^{36}$S, $^{38}$Ca$-^{38}$Ar, $^{41}$Sc$-^{41}$Ca, $^{48}$Ni$-^{48}$Ca, $^{52}$Ni$-^{52}$Cr, and $^{54}$Ni$-^{54}$Fe mirror pairs, and $L$. Employing the recently developed 34 chiral interaction samples, identified by the history matching approach, we conduct rigorous statistical analysis of correlations among $ΔR^{\rm mirr}_{\rm ch}$, $R_{\rm skin}$ and $L$, accounting for quantified uncertainties from low-energy constants of chiral interaction, chiral effective field theory truncation and many-body method approximation. The ab initio results reveal an appreciable $ΔR^{\rm mirr}_{\rm ch}-L$ correlation in $fp$-shell mirror pairs. However, contrary to previous studies, the present calculation finds that the studied $sd$-shell mirror pairs do not exhibit any $ΔR^{\rm mirr}_{\rm ch}-L$ correlation. |
| title | How do mirror charge radii constrain density dependence of the symmetry energy? |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2408.17403 |