2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21399It is shown using the Gross-Pitaevskii equation that resonance states of Bose-Einstein condensates with attractive interactions can be stabilized into true bound states. A semiclassical variational approximation and an independent quantum variational numerical method are used to calculate the energies (chemical potentials) and linewidths of resonances of the time-independent Gross-Pitaevskii equation; both methods produce similar results. Borders between the regimes of resonances, bound states, and, in two and three dimensions, collapse, are identified.4 pages, 4 figuresSoft Condensed MatterMesoscale and Nanoscale PhysicsPattern Formation and Solitonstext