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arXiv · 1612.04192

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

K. Amos·L. Canton·P. R. Fraser·S. Karataglidis·J. P. Svenne·D. van der Knijff
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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.

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K. Amos, L. Canton, P. R. Fraser, S. Karataglidis, J. P. Svenne, D. van der Knijff. 2016-12-13. A multi-channel model for an {\alpha} plus $^6$He nucleus cluster. https://doi.org/10.1140/epja/i2017-12270-1

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