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Recently to study the radiative capture $\alpha + d \to {}^{6}{\rm Li} +\gamma$ process a new measurement of the ${}^{6}{\rm Li}({\rm A\,150\,MeV})$dissociation in the field of ${}^{208}{\rm Pb}$ has been reported in [F.Hammache {\it et al.} Phys. Rev ${\bf C 82}$, 065803 (2010)]. However, thedominance of the nuclear breakup over the Coulomb one prevented from obtainingthe information about the $\alpha + d \to {}^{6}{\rm Li} + \gamma$ process fromthe breakup data. The astrophysical $S_{24}(E)$ factor has been calculatedwithin the $\alpha-d$ two-body potential model with potentials determined fromthe fits to the $\alpha-d$ elastic scattering phase shifts. However, thescattering phase shift itself doesn't provide a unique $\alpha-d$ bound statepotential, which is the most crucial input when calculating the $S_{24}(E)$astrophysical factor at astrophysical energies. In this work we emphasize animportant role of the asymptotic normalization coefficient (ANC) for${}^{6}{\rm Li} \to \alpha + d$, which controls the overall normalization ofthe peripheral $\alpha + d \to {}^{6}{\rm Li} + \gamma$ process and isdetermined by the adopted $\alpha-d$ bound state potential. We demonstrate thatthe ANC previously determined from the $\alpha-d$ elastic scattering $s$-wavephase shift in [Blokhintsev {\it et. al} Phys. Rev. {\bf C 48}, 2390 (1993)]gives $S_{24}(E)$, which is at low energies about 38% lower than the onereported in [F. Hammache {\it et al.} Phys. Rev ${\bf C 82}$, 065803 (2010)].We recalculate also the reaction rates, which are also lower than thoseobtained in [F. Hammache {\it et al.} Phys. Rev ${\bf C 82}$, 065803 (2010)].

{Once more about astrophysical $S$ factor for the $\alpha + d \to {}^{6}{\rm Li} + \gamma$ reaction