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arXiv · 2303.14667

Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei

Rong An·Shuai Sun·Li-Gang Cao·Feng-Shou Zhang
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Abstract

The nuclear charge radius plays a vital role in determining the equation of state of isospin asymmetric nuclear matter. Based on the correlation between the differences in charge radii of mirror-partner nuclei and the slope parameter ($L$) of symmetry energy at the nuclear saturation density, an analysis of the calibrated slope parameter $L$ was performed in finite nuclei. In this study, relativistic and non-relativistic energy density functionals were employed to constrain the nuclear symmetry energy through the available databases of the mirror-pair nuclei $^{36}$Ca-$^{36}$S, $^{38}$Ca-$^{38}$Ar, and $^{54}$Ni-$^{54}$Fe. The deduced nuclear symmetry energy was located in the range 29.89-31.85 MeV, and $L$ of the symmetry energy essentially covered the range 22.50-51.55 MeV at the saturation density. Moreover, the extracted $L_s$ at the sensitivity density $\rho_{s}=0.10~\mathrm{fm}^{-3}$ was located in the interval range 30.52-39.76 MeV.

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Rong An, Shuai Sun, Li-Gang Cao, Feng-Shou Zhang. 2023-03-26. Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei. https://doi.org/10.1007/s41365-023-01269-1

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