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Charge radii of mirror nuclei are calculated by implementing pairing effectswith the Hartree-Fock Bogoliubov approximation. Correlations between thedifference of charge radii ($\Delta R_{ch}$) and slope of nuclear symmetryenergy (L) are examined for different mirror nuclei pairs of varying massesusing 40 different Skyrme energy density functionals. $\Delta R_{ch}-L $correlations are found to be robust for the binding constraints imposed ondensity functionals. We observe that $\Delta R_{ch}$ and $L$ show bettercorrelations in relatively heavier pairs than those obtained in the lighterpairs. Our calculations impose a constraint on the slope of nuclear symmetryenergy as -20 MeV $\leq L \leq$ 55 MeV with 68\% confidence band usingavailable measurements on charge radii. This is a moderately soft symmetryenergy, in contrast to stiff and soft symmetry energy indicated by PREX-II andCREX measurements of neutron skin thickness in $^{208}Pb$ and $^{48}Ca$,respectively. Our result is also in agreement with celestial constraintsobtained from observational data for neutron stars.

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