A multi-channel model for an α plus 6He nucleus cluster

Abstract

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for the α+ 6He cluster system, so finding a model spectrum for 10Be to more than 10MeV excitation. Three states of 6He were included and the resonance character of the two excited states taken into account in finding solutions. A model Hamiltonian has been found that gives very good agreement with the known bound states and with some low-lying resonances of 10Be. More resonance states are predicted than those which have been observed as yet. The method also yields S -matrices which we have used to evaluate low-energy 6He - α scattering cross sections. Reasonable reproduction..