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We have used an {\it ab initio} Gamow shell model to study the isospinsymmetry breaking in the $A=16$ mirror nuclei of $^{16}$F, $^{16}$N, $^{16}$Neand $^{16}$C. Starting from a chiral interaction with two-nucleon force (2NF)at N$^3$LO and three-nucleon force (3NF) at N$^2$LO, a complex-momentum ${\itpsd}$-shell Hamiltonian was constructed by employing the many-body perturbationtheory in the Gamow Hartree-Fock basis which includes bound, resonant andcontinuum states self-consistently. Such an elaborated {\it ab initio} Gamowshell model with both continuum coupling and 3NF included can properly treatthe many-body correlations of weakly bound and unbound nuclei. The mirrorpartners of $^{16}$F and $^{16}$N exhibit different level orders in theirexcitation spectra, which can be well explained by the inclusion of 3NF in thecalculation. The isospin asymmetry between the mirror partners $^{16}$Ne and$^{16}$C was studied in detail by insight into their configuration structures.The interplay between 3NF and the continuum coupling is discussed in the weaklybound and unbound nuclear states.

Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling