Abstract
The binding energies of the lowest isospin singlet (${J}^{\ensuremath{\pi}}={1}^{+}$) and triplet (${J}^{\ensuremath{\pi}}={0}^{+}$) states of $^{6}\mathrm{Li}$ are calculated on a multichannel three-body model in which the internal structure of the $\ensuremath{\alpha}$ particle is approximately represented by a two-state system. The $n\ensuremath{-}\ensuremath{\alpha}$ interaction is given by a two-channel $l$-dependent potential that is obtained by fitting low-energy scattering data. The $\mathrm{np}$ interaction is taken to be the Pease-Feshbach potential.The Faddeev equations are generalized to allow spin and internal structure of the particles and are solved in the separable $t$-matrix approximation for bound-state energies. The results obtained are in good agreement with experiments and the effect of the $\ensuremath{\alpha}$ internal structure is discussed.
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