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

Abstract

We have used an {\it ab initio} Gamow shell model to study the isospin symmetry breaking in the $A=16$ mirror nuclei of ${}^{16}$F, ${}^{16}$N, ${}^{16}$Ne and ${}^{16}$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 $psd$-shell Hamiltonian was constructed by employing the many-body perturbation theory in the Gamow Hartree-Fock basis which includes bound, resonant and continuum states self-consistently. Such an elaborated {\it ab initio} Gamow shell model with both continuum coupling and 3NF included can properly treat the many-body correlations of weakly bound and unbound nuclei. The mirror partners of ${}^{16}$F and ${}^{16}$N exhibit different level orders in their excitation spectra, which can be well explained by the inclusion of 3NF in the calculation. 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 weakly bound and unbound nuclear states.

arXiv comment7 pages, 4 figures

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