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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2502.05820 |
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| _version_ | 1866915202766733312 |
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| author | Lei, Y. Lian, X. Bai, C. L. |
| author_facet | Lei, Y. Lian, X. Bai, C. L. |
| contents | We observe various robust linear correlations related to neutron skin thickness ($ΔR_{\rm np}$) within different interaction ensembles, including newly proposed random Skyrme ensemble. The robust linear correlation between $ΔR_{\rm np}$, or charge radius difference of mirror nuclei ($ΔR_{\rm mirr}$), and the isospin asymmetry ($I=\frac{N-Z}{A}$) becomes apparent as the model space is enlarged. Shape coexistence, or shape effect on charge radius, is considered to explain the experimental deviation of ${}^{18}$O/Ne and some odd-$A$ $ΔR_{\rm mirr}$s from the $ΔR_{\rm mirr}-I$ linearity. The slopes of the linear $ΔR_{\rm mirr}-I$ and $ΔR_{\rm np}-I$ correlations ($C_{\rm np}$ and $C_{\rm mirr}$, respectively) are also robustly and linearly correlated to the slope of the symmetry energy ($L$). These linear correlations are further understood with the similar formulation between between $L$ and the symmetry energy coefficient ($J$). The linear correlations between $C_{\rm np}-L$ and $C_{\rm mirr}-L$ are also adopted to constrain $L$ to $20\sim36$ MeV with 1$σ$ confidence. Considering the deviation of ${}^{18}$O/Ne $ΔR_{mirr}$ due to shape coexistence, the 1$σ$ range for $L$ is further narrowed to $28\sim36$ MeV, suggesting a relatively soft equation of state for nuclear matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05820 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust linear correlations related to neutron skin thickness Lei, Y. Lian, X. Bai, C. L. Nuclear Theory We observe various robust linear correlations related to neutron skin thickness ($ΔR_{\rm np}$) within different interaction ensembles, including newly proposed random Skyrme ensemble. The robust linear correlation between $ΔR_{\rm np}$, or charge radius difference of mirror nuclei ($ΔR_{\rm mirr}$), and the isospin asymmetry ($I=\frac{N-Z}{A}$) becomes apparent as the model space is enlarged. Shape coexistence, or shape effect on charge radius, is considered to explain the experimental deviation of ${}^{18}$O/Ne and some odd-$A$ $ΔR_{\rm mirr}$s from the $ΔR_{\rm mirr}-I$ linearity. The slopes of the linear $ΔR_{\rm mirr}-I$ and $ΔR_{\rm np}-I$ correlations ($C_{\rm np}$ and $C_{\rm mirr}$, respectively) are also robustly and linearly correlated to the slope of the symmetry energy ($L$). These linear correlations are further understood with the similar formulation between between $L$ and the symmetry energy coefficient ($J$). The linear correlations between $C_{\rm np}-L$ and $C_{\rm mirr}-L$ are also adopted to constrain $L$ to $20\sim36$ MeV with 1$σ$ confidence. Considering the deviation of ${}^{18}$O/Ne $ΔR_{mirr}$ due to shape coexistence, the 1$σ$ range for $L$ is further narrowed to $28\sim36$ MeV, suggesting a relatively soft equation of state for nuclear matter. |
| title | Robust linear correlations related to neutron skin thickness |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2502.05820 |