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The structure of weakly bound and unbound nuclei close to particle drip linesis one of the major science drivers of nuclear physics. A comprehensiveunderstanding of these systems goes beyond the traditional configurationinteractions approach formulated in the Hilbert space of localized states(nuclear shell model) and requires an open quantum system description. Thecomplex-energy Gamow Shell Model (GSM) provides such a framework as it iscapable of describing resonant and non-resonant many-body states on equalfooting.  To make reliable predictions, quality input is needed that allows for thefull uncertainty quantification of theoretical results. In this study, we carryout the optimization of an effective GSM (one-body and two-body) interaction inthe $psdf$ shell model space. The resulting interaction is expected to describenuclei with $5 \leqslant A \leqslant 12$ at the $p-sd$-shell interface.  The optimized one-body potential reproduces nucleon-$^4$He scattering phaseshifts up to an excitation energy of 20 MeV. The two-body interaction built ontop of the optimized one-body field is adjusted to the bound and unboundground-state binding energies and selected excited states of the Helium,Lithium, and Beryllium isotopes up to $A=9$. A very good agreement withexperiment was obtained for binding energies. First applications of theoptimized interaction include predictions for two-nucleon correlation densitiesand excitation spectra of light nuclei with quantified uncertainties.  The new interaction will enable comprehensive and fully quantified studies ofstructure and reactions aspects of nuclei from the $psd$ region of the nuclearchart.

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