How do mirror charge radii constrain density dependence of the symmetry energy?

It has recently been suggested that differences in the charge radii of mirror nuclei ( mirr ch ) are strongly correlated with the neutron-skin thickness ( skin ) of neutron-rich nuclei and with the slope of the symmetry energy (). To test this assumption, we present ab initio calculations of skin in 48 Ca and 208 Pb, mirr ch in 36 Ca-36 S, 38 Ca-38 Ar, 41 Sc-41 Ca, 48 Ni-48 Ca, 52 Ni-52 Cr, and 54 Ni-54 Fe mirror pairs, and . Employing the recently developed 34 chiral interaction samples, identified by the history matching approach, we conduct rigorous statistical analysis of correlations among mirr ch , skin and , accounting for quantified uncertainties from low-energy constants of chiral interaction, chiral effective field theory truncation and many-body method approximation. The ab initio results reveal an appreciable mirr ch - correlation in -shell mirror pairs. However, contrary to previous studies, the present calculation finds that the studied -shell mirror pairs do not exhibit any mirr ch - correlation.