Living on the edge of stability, the limits of the nuclear landscape

Abstract

A first-principles description of nuclear systems along the drip lines presents a substantial theoretical and computational challenge. In this paper, we discuss the nuclear theory roadmap, some of the key theoretical approaches, and present selected results with a focus on long isotopic chains. An important conclusion, which consistently emerges from these theoretical analyses, is that three-nucleon forces are crucial for both global nuclear properties and detailed nuclear structure, and that many-body correlations due to the coupling to the particle continuum are essential as one approaches particle drip lines. In the quest for a comprehensive nuclear theory, high performance computing plays a key role.

Contribution to proceedings of Nobel Symposium 152: Physics with radioactive beams, June 2012, Gothenburg, Sweden

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• Halos and related structures
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Towards grounding nuclear physics in QCD
• Quantified Gamow Shell Model interaction for $psd$-shell nuclei
• Recent Progress in Two-proton Radioactivity
• Living on the edge of stability, the limits of the nuclear landscape
• Structure and decays of nuclear three-body systems: the Gamow coupled-channel method in Jacobi coordinates
• Probing Nuclear forces beyond the drip-line using the mirror nuclei ${}^{16}$N and ${}^{16}$F
• Detailed illustration of accuracy of presently used nuclear-mass models
• Structures and decay properties of extremely proton-rich nuclei ${}^{11,12}$O
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Proton decays in ${}^{16}$Ne and ${}^{18}$Mg and isospin-symmetry breaking in carbon isotopes and isotones
• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Gamow Shell Model description of Li isotopes and their mirror partners
• Search for excited states in ${}^{25}$O
• Resonance-state properties from a phase shift analysis with the $S$-matrix pole method and the effective-range method
• Neutron Shell Closure at N=32 and N=40 in Ar and Ca Isotopes
• Possible halo structure of ${}^{62,72}$Ca by forbidden-state-free locally peaked Gaussians
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
• Estimate of the location of the neutron drip line for calcium isotopes from an exact Hamiltonian with continuum pair correlations
• The energies and ANCs for 5Li resonances deduced from experimental p-$\alpha$ scattering phase shifts using the effective-range and $\Delta$ methods