Estimation of the slope of nuclear symmetry energy via charge radii of mirror nuclei
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| Format: | Preprint |
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2024
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| author | Gautam, Sakshi Venneti, Anagh Banik, Sarmistha Agrawal, Bijay |
| author_facet | Gautam, Sakshi Venneti, Anagh Banik, Sarmistha Agrawal, Bijay |
| contents | Charge radii of mirror nuclei are calculated by implementing pairing effects with the Hartree-Fock Bogoliubov approximation. Correlations between the difference of charge radii ($ΔR_{ch}$) and slope of nuclear symmetry energy (L) are examined for different mirror nuclei pairs of varying masses using 40 different Skyrme energy density functionals. $ΔR_{ch}-L $ correlations are found to be robust for the binding constraints imposed on density functionals. We observe that $ΔR_{ch}$ and $L$ show better correlations in relatively heavier pairs than those obtained in the lighter pairs. Our calculations impose a constraint on the slope of nuclear symmetry energy as -20 MeV $\leq L \leq$ 55 MeV with 68\% confidence band using available measurements on charge radii. This is a moderately soft symmetry energy, in contrast to stiff and soft symmetry energy indicated by PREX-II and CREX measurements of neutron skin thickness in $^{208}Pb$ and $^{48}Ca$, respectively. Our result is also in agreement with celestial constraints obtained from observational data for neutron stars. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_13939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Estimation of the slope of nuclear symmetry energy via charge radii of mirror nuclei Gautam, Sakshi Venneti, Anagh Banik, Sarmistha Agrawal, Bijay Nuclear Theory Charge radii of mirror nuclei are calculated by implementing pairing effects with the Hartree-Fock Bogoliubov approximation. Correlations between the difference of charge radii ($ΔR_{ch}$) and slope of nuclear symmetry energy (L) are examined for different mirror nuclei pairs of varying masses using 40 different Skyrme energy density functionals. $ΔR_{ch}-L $ correlations are found to be robust for the binding constraints imposed on density functionals. We observe that $ΔR_{ch}$ and $L$ show better correlations in relatively heavier pairs than those obtained in the lighter pairs. Our calculations impose a constraint on the slope of nuclear symmetry energy as -20 MeV $\leq L \leq$ 55 MeV with 68\% confidence band using available measurements on charge radii. This is a moderately soft symmetry energy, in contrast to stiff and soft symmetry energy indicated by PREX-II and CREX measurements of neutron skin thickness in $^{208}Pb$ and $^{48}Ca$, respectively. Our result is also in agreement with celestial constraints obtained from observational data for neutron stars. |
| title | Estimation of the slope of nuclear symmetry energy via charge radii of mirror nuclei |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2401.13939 |