Angular distribution measurements of ${}^2\mathrm{H}$(${}^7\mathrm{Be}$,${}^7\mathrm{Be}$)${}^2\mathrm{H}$ and ${}^2\mathrm{H}$(${}^7\mathrm{Be}$,${}^8\mathrm{B}$)n reactions at $E_{c.m.}~4.5$ MeV were performed to extract the astrophysical $S_{17}(0)$ factor using the asymptotic normalization coefficient (ANC) method. For this purpose a pure, low emittance ${}^7\mathrm{Be}$ beam was separated from the primary ${}^7\mathrm{Li}$ beam by a recoil mass spectrometer operated in a novel mode. A beam stopper at 0° allowed for the use of a higher ${}^7\mathrm{Be}$ beam intensity. Measurement of the elastic scattering in the entrance channel using kinematic coincidence, facilitated the determination of the optical model parameters needed for the analysis of the transfer data. The present measurement significantly reduces errors in the extracted ${}^7\mathrm{Be}$($p,\gamma$) cross section using the ANC method. We get $S_{17}$ (0) = 20.7 ± 2.4 eV b.

• Received 19 November 2003

DOI:https://doi.org/10.1103/PhysRevC.73.015808