Calculating few-body resonances using an oscillator trap

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.

6 pages; The fifth workshop dedicated to the Critical Stability of Few-Body Quantum Systems, Erice 2008