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

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