Determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">Li</mml:mi><mml:mo>→</mml:mo><mml:mi>α</mml:mi><mml:mo>+</mml:mo><mml:mi>d</mml:mi></mml:math>asymptotic<b><i>D</i></b>- to<b><i>S</i></b>-state ratio by a restricted phase shift analysis

We describe a new method for determining the asymptotic normalization constants of the ${}^{6}\mathrm{Li}\ensuremath{\rightarrow}\ensuremath{\alpha}+d$ wave function. This method is based on a phase shift analysis of ${}^{6}\mathrm{Li}{+}^{4}\mathrm{He}$ elastic scattering data, with high partial wave parameters obtained from Coulomb-wave Born approximation calculations for d-exchange scattering. Applying this analysis to ${}^{6}\mathrm{Li}{+}^{4}\mathrm{He}$ elastic scattering at ${E}_{\mathrm{c}.\mathrm{m}.}=2.2 \mathrm{MeV},$ we obtain a value for the asymptotic D- to S-state ratio of the ${}^{6}\mathrm{Li}\ensuremath{\rightarrow}\ensuremath{\alpha}+d$ wave function of $\ensuremath{-}0.025\ifmmode\pm\else\textpm\fi{}0.006\ifmmode\pm\else\textpm\fi{}0.010.$

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