Background: Deformed neutron-rich magnesium isotopes constitute a fascinating territory where the interplay between collective rotation and single-particle motion is strongly affected by the neutron continuum. The unbound f p-shell nucleus 39 Mg is an ideal candidate to study this interplay.Purpose: In this work, we predict the properties of low-lying resonant states of 39 Mg, using a suite of realistic theoretical approaches rooted in the open quantum system framework. − ground-state candidate exhibits a resonant structure reminiscent of that of its one-neutron halo neighbor 37 Mg, which is dominated by the f 7 2 partial wave at short distances and a p 3 2 component at large distances. A J
Conclusion:We demonstrate that the subtle interplay between deformation, shell structure, and continuum coupling can result in a variety of excitations in an unbound nucleus just outside the neutron drip line.