At very low energies of astrophysical interest, the ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$(p,γ${)}^8$B reaction is almost totally peripheral. Consequently, the overall normalization of the cross section for this reaction is defined by the asymptotic normalization coefficient of the bound-state wave function of ${}_{}{}^8{}_{}{}^{}\mathrm{B}$ in the two-body channel ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$+p. The reaction ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$${(}^3$He,d${)}^8$B is suggested as a tool to measure this asymptotic normalization coefficient thereby allowing one to define the absolute value of the astrophysical factor, ${\mathit{S}}_{17}$(0), for the ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$(p,γ${)}^8$B reaction.

• Received 14 September 1994

DOI:https://doi.org/10.1103/PhysRevC.51.3472