We calculated the differential cross sections as well as the total cross sections for the ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$(p,γ${)}^8$B at low energies in the radiative direct capture model including the E1, M1, and E2 transitions. The astrophysical S factor at the solar temperature of 20 keV is found to be 0.024 keV? which agrees well with a recent measurement by Filippone et al. We show that the d-wave capture plays an important role in determining the magnitude and shape of S(E) at low energies of astrophysical interest.

• Received 29 August 1986

DOI:https://doi.org/10.1103/PhysRevC.35.363