A multi-channel model for an {\alpha} plus $^6$He nucleus cluster

TL;DR

This paper employs a multi-channel algebraic scattering method to model the 0Be nucleus as an He plus 6He cluster, accurately reproducing known states and predicting new resonances, while also analyzing low-energy scattering data.

Contribution

The study introduces a multi-channel algebraic scattering approach to model 0Be as an He+6He cluster, providing detailed spectra and scattering predictions.

Findings

Good agreement with known 0Be bound states

Predicted additional resonance states

Reproduced low-energy scattering cross sections

Abstract

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for the $\alpha$+${}^6$He cluster system, so finding a model spectrum for ${}^{10}$Be to more than 10 MeV excitation. Three states of ${}^6$He are 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 ${}^{10}$Be. More resonance states are predicted than have as yet been observed. The method also yields $S$-matrices which we have used to evaluate low-energy ${}^6$He-$\alpha$ scattering cross sections. Reasonable reproduction of low-energy differential cross sections and of energy variation of cross sections measured at fixed scattering angles is found.