Eur. Phys. J. A (2017) 53: 72
https://doi.org/10.1140/epja/i2017-12270-1

Regular Article - Theoretical Physics

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

¹ School of Physics, University of Melbourne, 3010, Victoria, Australia
² Department of Physics, University of Johannesburg, P.O. Box 524, 2006, Auckland Park, South Africa
³ Istituto Nazionale di Fisica Nucleare, Sezione di Padova, I-35131, Padova, Italy
⁴ Department of Physics, Astronomy and Medical Radiation Sciences, Curtin University, GPO Box U1987, 6845, Perth, Australia
⁵ Department of Physics and Astronomy, University of Manitoba, and Winnipeg Institute for Theoretical Physics, R3T 2N2, Winnipeg, Manitoba, Canada

^* e-mail: amos@unimelb.edu.au

Received: 16 January 2017
Accepted: 27 March 2017
Published online: 17 April 2017

Abstract

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for the 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 - scattering cross sections. Reasonable reproduction of low-energy differential cross sections and of energy variation of cross sections measured at fixed scattering angles have been found. Enlarging the channel space by including two higher energy states of ⁶He , assuming values for their spin-parities, leads to an enlarged spectrum for ¹⁰Be in which the number and distribution of resonances show similarity to the known spectrum.