Quantified Gamow Shell Model interaction for $psd$-shell nuclei

Abstract

The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interactions approach formulated in the Hilbert space of localized states (nuclear shell model) and requires an open quantum system description. The complex-energy Gamow Shell Model (GSM) provides such a framework as it is capable of describing resonant and non-resonant many-body states on equal footing. To make reliable predictions, quality input is needed that allows for the full uncertainty quantification of theoretical results. In this study, we carry out the optimization of an effective GSM (one-body and two-body) interaction in the $psdf$ shell model space. The resulting interaction is expected to describe nuclei with $5⩽A⩽12$ at the $p-sd$-shell interface. The optimized one-body potential reproduces nucleon-${}^4$He scattering phase shifts up to an excitation energy of 20 MeV. The two-body interaction built on top of the optimized one-body field is adjusted to the bound and unbound ground-state binding energies and selected excited states of the Helium, Lithium, and Beryllium isotopes up to $A=9$. A very good agreement with experiment was obtained for binding energies. First applications of the optimized interaction include predictions for two-nucleon correlation densities and excitation spectra of light nuclei with quantified uncertainties. The new interaction will enable comprehensive and fully quantified studies of structure and reactions aspects of nuclei from the $psd$ region of the nuclear chart.

11 pages, 6 figures, 9 tables

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• From bound states to the continuum
• Two-neutron halo structure of ${}^{31}$F
• First observation of 20B and 21B
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Toward Scalable Many-Body Calculations for Nuclear Open Quantum Systems using the Gamow Shell Model
• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Gamow Shell Model description of Li isotopes and their mirror partners
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Spectroscopic factors in dripline nuclei
• Uncertainty quantification of an empirical shell-model interaction using principal component analysis
• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Natural orbitals for the ab initio no-core configuration interaction approach
• Density matrix renormalization group description of the island of inversion isotopes ${}^{28-33}$F
• Non-parametric Bayesian approach to extrapolation problems in configuration interaction methods
• Investigation of spectroscopic factors of deeply-bound nucleons in drip-line nuclei with the Gamow shell model
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Merging ab initio theory and few-body approach for $(d,p)$ reactions
• Low-rank matrix decompositions for ab initio nuclear structure
• Spectroscopic factors of resonance states with the Gamow shell model
• A Comparative Interpretation of the Thermodynamic Functions of a Relativistic Bound State problem proposed with an Attractive or a Repulsive Surface Effect
• 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
• ${}^{19}$F$(p,\gamma )$${}^{20}$Ne reaction rate and the puzzling calcium abundance in metal poor stars
• Alpha-decay from ${}^{44}$Ti: A study of the microscopic clusterization
• Novel approach to investigate ATOMKI anomaly using Coherent CAPTAIN-Mills detectors
• Exploring the possible two-proton radioactivity of ${}^{38,39}$Ti
• Revisiting the variational two-particle reduced density matrix for nuclear systems
• One-proton emission from the ${}_{\Lambda }^6$Li hypernucleus
• Complex-energy eigenvector continuation for nuclear many-body broad resonances
• Gamow shell model study of the 17Ne(p, p) reaction and of isospin symmetry breaking in 18Na
• Direct observation of three-neutron emission from ${}^7$He${}^{\ast }$ and the search for the trineutron
• Many-body calculations with Deuteron based single-particle bases and their associated natural orbits
• Neutron-pair structure in the continuum spectrum of ${}^{26}$O