We have measured angular distributions and total cross sections for the reactions $\mathrm{}(d,p)\mathrm{}$ and $(d,\alpha )$ to all excited states with positive $Q$-values on the nuclei ${}^9$Be, ${}^{10}$B, and ${}^{11}$B between center of mass (c.m.) energies of 57 and 139 keV, 67 and 141 keV, and 76 and 144 keV, respectively, and the reaction $\mathrm{}(d,t)\mathrm{}$ on the nucleus ${}^9$Be to the ${}^8$Be ground state between c.m. energies of 57 and 139 keV. Astrophsyical $S$ factors for these reactions are derived from the total cross-section measurements. Some of the measured angular distributions are far from isotropic even at the lowest energies. This anisotropy is reproduced reasonably well by distorted-wave Born approximation calculations in which the distorting potentials are modified with an additional short-range term.

• Received 1 October 1996

DOI:https://doi.org/10.1103/PhysRevC.55.1890