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.

arXiv comment12 pages, 4 figures

References in corpus (37)

• Chiral effective field theory and nuclear forces
• Nuclear magic numbers: new features far from stability
• Radioactive decays at limits of nuclear stability
• Microscopic Clustering in Light Nuclei
• Gamow Shell Model Description of Neutron-Rich Nuclei
• Shell Model in the Complex Energy Plane
• Nuclear charge radius of ${}^8$He
• Unified ab initio approaches to nuclear structure and reactions
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Shell Structure of Exotic Nuclei
• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• First observation of 54Zn and its decay by two-proton emission
• Mapping the proton drip-line up to A=70
• Two-proton radioactivity
• Evidence for the ground-state resonance of 26O
• Ground-state properties of neutron-rich Mg isotopes
• Theory of the two-proton radioactivity in the continuum shell model
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Proton-proton correlations observed in two-proton decay of ${}^{19}$Mg and ${}^{16}$Ne
• Partial Dynamical Symmetries
• Improved Kelson-Garvey mass relations for proton-rich nuclei
• Living on the edge of stability, the limits of the nuclear landscape
• The puzzling two-proton decay of ${}^{67}$Kr
• Isospin mixing and the continuum coupling in weakly bound nuclei
• Microscopic theory of the two-proton radioactivity
• The observation of long-range three-body Coloumb effects in the decay of 16Ne
• Continuum effects in neutron-drip-line oxygen isotopes
• Generalized Partial Dynamical Symmetry in Nuclei
• Two-neutron halo structure of ${}^{31}$F
• An above-barrier narrow resonance in ${}^{15}$F
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Spectroscopy of neutron-unbound ${}^{27,28}$F
• Toward Scalable Many-Body Calculations for Nuclear Open Quantum Systems using the Gamow Shell Model
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Gamow Shell Model description of Li isotopes and their mirror partners
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Numerical treatment of long-range Coulomb potential with Berggren bases

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• 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