Abstract
The astrophysical factor ${S}_{17}$ for ${}^{7}\mathrm{Be}(p,\ensuremath{\gamma}{)}^{8}\mathrm{B}$ reaction is reliably extracted from the transfer reaction ${}^{7}\mathrm{Be}{(d,n)}^{8}\mathrm{B}$ at $E=7.5$ MeV with the asymptotic normalization coefficient method. The transfer reaction is accurately analyzed with CDCC based on a three-body model. This analysis is free from uncertainties of the optical potentials having been crucial in the previous DWBA analyses.
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