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

References in corpus (6)

• Real stabilization method for nuclear single particle resonances
• Complex scaling of the hyper-spheric coordinates and Faddeev equations
• The Three-Body Continuum Coulomb Problem and the 3$\alpha$ Structure of ${}^{12}$C
• N-body Efimov states of trapped bosons
• Three-alpha-cluster structure of the 0^+ states in ^{12}C and the effective alpha-alpha interactions
• Case study: calculation of a narrow resonance with the LIT method

Cited by in corpus (9)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonant states
• Pseudospin symmetry in single particle resonances in spherical square wells
• Signatures of few-body resonances in finite volume
• The Continuum Spectrum of Hypernuclear Trios
• The strength of beta-decays to the continuum
• Universality in Ultra-Cold Few- and Many-Boson Systems
• A nuclear model with explicit mesons
• Calculation of low-energy scattering parameters using artificial oscillator trap