The astrophysical factor $S_{17}$ for ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ reaction is reliably extracted from the transfer reaction ${}^7\mathrm{Be}{\mathrm{}(d,n)\mathrm{}}^8\mathrm{B}$ at $E=7.5\mathrm{}$ 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.

• Received 5 October 2002
• Publisher error corrected 31 January 2003

DOI:https://doi.org/10.1103/PhysRevC.67.011602