We estimate the ratios of bare astrophysical $S$-factors at zero incident energy for proton- and deuteron-induced reactions in a model that assumes a compound nucleus formation probability plus a statistical decay. The obtained ratios agree well with available experimental values, as far as the reactions which have dominant $s$-wave entrance channel components are investigated. Due to its simplicity the model could be used as a guidance for predictions on reactions that have not been investigated yet.

• Received 28 May 2007

DOI:https://doi.org/10.1103/PhysRevC.76.031602