Charge radii of ¹¹⁻¹⁶C, ¹³⁻¹⁷N and ¹⁵⁻¹⁸O determined from their charge-changing cross-sections and the mirror-difference charge radii

Charge-changing cross-sections of ¹¹⁻¹⁶C, ¹³⁻¹⁷N and ¹⁵⁻¹⁸O on a carbon target have been determined at energies around 300 MeV/nucleon. A nucleon separation energy dependent correction factor has been introduced to the Glauber model calculation for extracting the nuclear charge radii from the experimental CCCSs. The charge radii of ¹¹C, 13,16N and ¹⁵O thus were determined for the first time. With the new radii, we studied the experimental mirror-difference charge radii (Δ Rchᵐⁱʳʳᵒʳ) of ¹¹B-¹¹C, ¹³C-¹³N, ¹⁵N-¹⁵O, ¹⁷N-¹⁷Ne pairs for the first time. We find that the Δ Rchᵐⁱʳʳᵒʳ, including both bound and weakly bound proton-rich mirror partners, are reproduced by the empirical relation to the isospin asymmetry predicted by the $ab$ $initio$ calculations.