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arXiv · 2401.13939

Estimation of the slope of nuclear symmetry energy via charge radii of mirror nuclei

Sakshi Gautam·Anagh Venneti·Sarmistha Banik·Bijay Agrawal
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Abstract

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.

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Sakshi Gautam, Anagh Venneti, Sarmistha Banik, Bijay Agrawal. 2024-01-25. Estimation of the slope of nuclear symmetry energy via charge radii of mirror nuclei. https://doi.org/10.1016/j.nuclphysa.2024.122832

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