  The proton transfer ${\rm{^7Be}}$($d$,$n$)${\rm{^8B}}$ reaction at the energy
of 4.5 MeV (c.m.) has been analysed within the modified DWBA. New estimates and
their uncertainties are obtained for values of the asymptotic normalization
coefficients for $p + {\rm{^7Be}} \to {\rm{^8B}}$, the astrophysical
$S_{17}(0)$ factor and the s-wave $p + {\rm{^7Be}}$ scattering lengths.
