Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones

Abstract

Proton-rich nuclei possess unique properties in the nuclear chart. Due to the presence of both continuum coupling and Coulomb interaction, phenomena such as halos, Thomas-Ehrman shift, and proton emissions can occur. Experimental data are difficult to be obtained therein, so that theoretical calculations are needed to understand nuclei at drip-lines and guide experimentalists for that matter. In particular, the ${}^{16}$Ne and ${}^{18}$Mg isotopes are supposed to be one-proton and/or two-proton emitting nuclei, but associated experimental data are either incomplete or even unavailable. Consequently, we performed Gamow shell model calculations of carbon isotones bearing $A=15\text{-}18$. Isospin-symmetry breaking occurring in carbon isotones and isotopes is also discussed. It is hereby shown that the mixed effects of continuum coupling and Coulomb interaction at drip-lines generate complex patterns in isospin multiplets. Added to that, it is possible to determine the one-proton and two-proton widths of ${}^{16}$Ne and ${}^{18}$Mg. Obtained decay patterns are in agreement with those obtained in previous experimental and theoretical works. Moreover, up to the knowledge of authors, this is the first theoretical calculation of binding energy and partial decay widths of ${}^{18}$Mg in a configuration interaction picture.

12 pages, 4 figures

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• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Spectroscopic factors of resonance states with the Gamow shell model
• Mirror Symmetry Breaking Disclosed in the Decay of Three-Proton Emitter 20Al
• Extended R-matrix description of two-proton radioactivity
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
• Gamow shell model study of the 17Ne(p, p) reaction and of isospin symmetry breaking in 18Na
• Structure evolution of ground and excited states in the exotic nucleus ${}^{22}$Al