We describe a new method for determining the asymptotic normalization constants of the ${}^6\mathrm{Li}\to \alpha +d$ 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 $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=2.2\mathrm{}\hspace{0.5em}\mathrm{MeV},$ we obtain a value for the asymptotic D- to S-state ratio of the ${}^6\mathrm{Li}\to \alpha +d$ wave function of $-0.025\pm 0.006\pm \mathrm{0.010.}$

• Received 10 June 1998

DOI:https://doi.org/10.1103/PhysRevC.59.598