Calculating few-body resonances using an oscillator trap

TL;DR

This paper proposes a method to calculate few-body resonance parameters by placing the system in an oscillator trap and analyzing the energy spectrum and strength function, demonstrated on 12C resonances.

Contribution

It introduces a novel approach combining oscillator trap boundary conditions with spectrum analysis to identify both broad and narrow few-body resonances.

Findings

Broader resonances appear as Lorentzian peaks in the strength function.

Narrower resonances are detected via avoided crossing patterns in the spectrum.

Method successfully applied to 0+ resonances in 12C within the 3-alpha model.

Abstract

We investigate the possibility of calculating the parameters of few-body resonances using the oscillator trap boundary conditions. We place the few-body system in an oscillator trap and calculate the energy spectrum and the strength function of a suitably chosen transition. Broader resonances are identified as Lorentzian peaks in the strength function. Narrower resonances are identified through the pattern of avoided crossings in the spectrum of the system as function of the trap size. As an example we calculate 0+ resonances in 12C within the 3-alpha model.