The Gamow-state description of the decay energy spectrum of neutron-unbound $^{25}$O

TL;DR

This paper demonstrates how to calculate the decay energy spectrum of neutron-unbound $^{25}$O using Gamow states, providing insights into resonance properties and comparing with traditional Breit-Wigner models.

Contribution

It introduces a Gamow-state based method to compute decay spectra for neutron-rich nuclei, specifically applied to $^{25}$O, highlighting its advantages over conventional approaches.

Findings

Resonant energies and widths for $^{25}$O states were obtained.

Decay energy spectra were successfully modeled for ground and excited states.

Differences between Gamow state spectra and Breit-Wigner distributions were analyzed.

Abstract

We show the feasibility of calculating the decay energy spectrum of neutron emitting nuclei within the Gamow-state description of resonances by obtaining the decay energy spectrum of $^{25}$O. We model this nucleus as a valence neutron interacting with an $^{24}$O inert core, and we obtain the resulting resonant energies, widths and decay energy spectra for the ground and first excited states. We also discuss the similarities and differences between the decay energy spectrum of a Gamow state and the Breit-Wigner distribution with energy-dependent width.