The ${}^{11}\mathrm{B}$$(d,n)$${}^{12}\mathrm{C}$ reaction was studied using deuteron beams of 120–160 keV to determine the absolute astrophysical $S$ factors and cross sections for the $n_0$ and $n_1$ neutron groups. The slopes of the $S$ factors are consistent with zero for both the $n_0$ and $n_1$ cases. The measured $S$ factor for the sum of both neutron groups at c.m. energies below 135 keV is $S=3180\pm 480$ keV b. A DWBA calculation is able to reproduce the ratio of the $S$ factors found here to those obtained in a recent study of the ${}^7\mathrm{Li}$$(d,n_{0,1})$${}^8\mathrm{Be}$ reaction.

• Received 19 April 2006
• Corrected 28 July 2006

DOI:https://doi.org/10.1103/PhysRevC.74.015804