Theory of the two-proton radioactivity in the continuum shell model

Abstract

We develop the microscopic description of the two-nucleon radioactivity in the framework of the Shell Model Embedded in the Continuum. This approach is applied for the description of spontaneous two-proton radioactivity in ${}^{45}$Fe, ${}^{48}$Ni and ${}^{54}$Zn.

61 pages, 5 figures

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• First direct observation of two protons in the decay of ${}^{45}$Fe with a TPC
• Two-proton radioactivity within a generalized liquid drop model
• Recent Progress in Two-proton Radioactivity
• The puzzling two-proton decay of ${}^{67}$Kr
• Toward understanding the microscopic origin of nuclear clustering
• Two-proton emission and related phenomena
• Open problems in theory of nuclear open quantum systems
• Gamow shell model description of proton scattering on ${}^{18}$Ne
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Gamow shell model description of radiative capture reactions ${}^6$Li$(p,\gamma )$${}^7$Be and ${}^6$Li$(n,\gamma )$${}^7$Li
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Antibound States and Halo Formation in the Gamow Shell Model
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• 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
• Exceptional points in the scattering continuum
• Two-proton radioactivity of exotic nuclei beyond proton drip-line
• Two-proton radioactivity within Coulomb and proximity potential model
• Invariant-mass spectroscopy of ${}^{14}$O excited states
• Two-proton emission systematics
• From nucleons to nuclei to fusion reactions
• Finite temperature pairing re-entrance in drip-line ${}^{48}$Ni nucleus
• Weakly bound systems, continuum effects, and reactions
• Supplemental note for "Two-fermion emission from spin-singlet and triplet resonances in one dimension"
• Gamow Shell Model description of ${}^{40}$Ca(d,p) transfer reaction
• New method for extracting quasi-bound states from the continuum
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
• Clusterization in nuclear states at the edge of stability
• Systematic study of two-proton radioactivity with a screened electrostatic barrier