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

• DOI: 10.48550/arxiv.2301.01951
• Publication Date: 2023-12-27
• Authors: S. Zhang; F. R. Xu; J. G. Li; B. S. Hu; Z. H. Cheng; N. Michel; Y. Z. Ma; Q. Yuan; Y. H. Zhang
• Keywords: Nuclear Theory (nucl-th); Nuclear Theory; FOS: Physical sciences

7 pages, 4 figures<br/>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 ${\it psd}$-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.<br/>