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

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 nonrelativistic energy density functionals were employed to constrain the nuclear symmetry energy through the available databases of the mirror-pair nuclei Ca-36-S-36, Ca-38-Ar-38, and Ni-54-Fe-54. 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 p(s )= 0.10 fm(-3) was located in the interval range 30.52-39.76 MeV.