Charge radii of mirror nuclei are calculated by implementing pairing effects with the Hartree-Fock Bogoliubov approximation. Correlations between the difference of charge radii ($\mathrm{\Delta }{R}_{ch}$) and slope of nuclear symmetry energy (L) are examined for different mirror nuclei pairs of varying masses using 40 different Skyrme energy density functionals. $\mathrm{\Delta }{R}_{ch}-L$ correlations are found to be robust for the binding constraints imposed on density functionals. We observe that $\mathrm{\Delta }{R}_{ch}$ and L show relatively 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 ≤L≤ 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.

通过使用 Hartree-Fock Bogoliubov 近似实现配对效应来计算镜像核的电荷半径。电荷半径差之间的相关性（$\mathrm{\Delta }{右}_{CH}$使用 40 种不同的 Skyrme 能量密度泛函检查不同质量的不同镜像核对的核对称能 (L) 和斜率。$\mathrm{\Delta }{右}_{CH}-L$发现相关性对于密度泛函施加的约束约束是稳健的。我们观察到$\mathrm{\Delta }{右}_{CH}$和L在相对较重的对中显示出比在较轻的对中获得的相关性更好的相关性。我们的计算使用电荷半径的可用测量结果，将核对称能的斜率限制为 -20 MeV ≤ L ≤ 55 MeV，置信带为 68%。这是一种适度软的对称能，与 PREX-II 和 CREX 测量中子皮厚度所表明的硬对称能和软对称能相反。${}^{208}磷乙$和${}^{48}CA$， 分别。我们的结果也与从中子星观测数据获得的天体约束一致。