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 (Δ R ch mirr) are strongly correlated with the neutron-skin thickness (R skin) of neutron-rich nuclei and with the slope of the symmetry energy (L). To test this assumption, we present ab initio calculations of R skin in 48Ca and 208Pb, Δ R ch mirr in 36Ca − 36 S, 38Ca − 38 Ar, 41Sc − 41 Ca, 48Ni − 48 Ca, 52Ni − 52 Cr, and 54Ni − 54 Fe mirror pairs, and L. Employing the recently developed 34 chiral interaction samples, identified by the history matching approach, we conduct rigorous statistical analysis of correlations among Δ R ch mirr , R skin and L , 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 Δ R ch mirr − L correlation in fp -shell mirror pairs. However, contrary to previous studies, the present calculation finds that the studied sd -shell mirror pairs do not exhibit any Δ R ch mirr − L correlation. [ABSTRACT FROM AUTHOR]