Identifying resonances with wave-packet dynamics

TL;DR

This paper introduces a wave-packet dynamics method utilizing the window operator technique to identify resonances, demonstrated on low-energy carbon collisions, providing accurate resonance energies and widths.

Contribution

The paper presents a novel wave-packet based approach for resonance identification that aligns with existing methods and extends applicability across disciplines.

Findings

Accurately determines resonance energies and widths.

Agrees with complex-energy scattering-matrix pole methods.

Applicable to various resonance phenomena involving potential pockets.

Abstract

A new method for the study of resonant behavior - using wave-packet dynamics - is presented, based on the powerful window operator technique. The method is illustrated and quantified by application to the astrophysically-important example of low-energy $^{12}$C + $^{12}$C collisions. For this selected, potential model test case, the technique is shown to provide both resonance energies and widths in agreement with alternative methods, such as complex-energy scattering-matrix pole searches and scattering phase-shift analyses. The method has a more general capability to study resonance phenomena across disciplines, that involve particles temporarily trapped by potential pockets.