Coupled-channel evaluations of cross sections for scattering involving particle-unstable resonances

Abstract

How does the scattering cross section change when the colliding bound-state fragments are allowed particle-emitting resonances? This question is explored in the framework of a multi-channel algebraic scattering method of determining nucleon-nucleus cross sections at low energies. Two cases are examined, the first being a gedanken investigation in which n + carbon-12 scattering is studied with the target states assigned artificial widths. The second is a study of neutron scattering from beryllium-8; a nucleus that is particle unstable. Resonance character of the target states markedly varies evaluated cross sections from those obtained assuming stability in the target spectrum.

4 pages, 3 figures

References in corpus (4)

• An algebraic solution of the multichannel problem applied to low energy nucleon-nucleus scattering
• Probing the 6He halo structure with elastic and inelastic proton scattering
• Role of the Pauli principle in collective-model coupled-channels calculations
• Comparison between two methods of solution of coupled equations for low-energy scattering

Cited by in corpus (8)

• Linking the exotic structure of ${}^{17}$C to its unbound mirror ${}^{17}$Na
• Iterative solution of integral equations on a basis of positive energy Sturmian eigenfunctions
• Weakly-bound rare isotopes with a coupled-channel approach that includes resonant levels
• Importance of resonance widths in low-energy scattering of weakly-bound light-mass nuclei
• Mass-15 nuclei and predicting narrow states beyond the proton drip line
• Coupling to two target-state bands in the study of the n+22Ne system at low energy
• A multi-channel model for an α plus ${}^6$He nucleus cluster
• Coupled-channel calculation of bound and resonant spectra of Lambda-9Be and Lambda-13C hypernuclei